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Actuarial science

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197:; the employer's old, new and foreign competitors; the changing demographics of the workforce; changes in the internal revenue code; changes in the attitude of the internal revenue service regarding the calculation of surpluses; and equally importantly, both the short and long term financial and economic trends. It is common with mergers and acquisitions that several pension plans have to be combined or at least administered on an equitable basis. When benefit changes occur, old and new benefit plans have to be blended, satisfying new social demands and various government discrimination test calculations, and providing employees and retirees with understandable choices and transition paths. Benefit plans liabilities have to be properly valued, reflecting both earned benefits for past service, and the benefits for future service. Finally, funding schemes have to be developed that are manageable and satisfy the standards board or regulators of the appropriate country, such as the 500:
precalculated columns of summations over time of discounted values of survival and death probabilities). Actuarial organizations were founded to support and further both actuaries and actuarial science, and to protect the public interest by promoting competency and ethical standards. However, calculations remained cumbersome, and actuarial shortcuts were commonplace. Non-life actuaries followed in the footsteps of their life insurance colleagues during the 20th century. The 1920 revision for the New-York based National Council on Workmen's Compensation Insurance rates took over two months of around-the-clock work by day and night teams of actuaries. In the 1930s and 1940s, the mathematical foundations for
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models. Ideas from financial economics became increasingly influential in actuarial thinking, and actuarial science has started to embrace more sophisticated mathematical modelling of finance. Today, the profession, both in practice and in the educational syllabi of many actuarial organizations, is cognizant of the need to reflect the combined approach of tables, loss models, stochastic methods, and financial theory. However, assumption-dependent concepts are still widely used (such as the setting of the discount rate assumption as mentioned earlier), particularly in North America.
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they now provided for the necessary funeral expenses by paying into the common fund weekly a small fixed sum, easily within the reach of the poorest of them. When a member died, a stated sum was drawn from the treasury for his funeral....If the purpose of the society was the building of a columbārium, the cost was first determined and the sum total divided into what we should call shares (sortēs virīlēs), each member taking as many as he could afford and paying their value into the treasury.
5205: 136:, and annuities. These long term coverages required that money be set aside to pay future benefits, such as annuity and death benefits many years into the future. This requires estimating future contingent events, such as the rates of mortality by age, as well as the development of mathematical techniques for discounting the value of funds set aside and invested. This led to the development of an important actuarial concept, referred to as the 5243: 5231: 279:
predict the chance of re-offending according to rating factors which include the type of crime, age, educational background and ethnicity of the offender. However, these models have been open to criticism as providing justification for discrimination against specific ethnic groups by law enforcement personnel. Whether this is statistically correct or a self-fulfilling correlation remains under debate.
222:(SSI) program, a general-revenue financed, means-tested program for low-income aged, blind and disabled people. The office provides technical and consultative services to the Commissioner, to the board of trustees of the Social Security Trust Funds, and its staff appears before Congressional Committees to provide expert testimony on the actuarial aspects of Social Security issues. 459:. One could now set up an insurance scheme to provide life insurance or pensions for a group of people, and to calculate with some degree of accuracy how much each person in the group should contribute to a common fund assumed to earn a fixed rate of interest. The first person to demonstrate publicly how this could be done was 1379:
Early in the Empire, associations were formed for the purpose of meeting the funeral expenses of their members, whether the remains were to be buried or cremated, or for the purpose of building columbāria, or for both....If the members had provided places for the disposal of their bodies after death,
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Product design adds another dimension to the debate. Financial economists argue that pension benefits are bond-like and should not be funded with equity investments without reflecting the risks of not achieving expected returns. But some pension products do reflect the risks of unexpected returns. In
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insurance. The insurance industry also provides coverage for exposures such as catastrophe, weather-related risks, earthquakes, patent infringement and other forms of corporate espionage, terrorism, and "one-of-a-kind" (e.g., satellite launch). Actuarial science provides data collection, measurement,
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My task is now finished....those who are here interred have received part of their honours already, and for the rest, their children will be brought up till manhood at the public expense: the state thus offers a valuable prize, as the garland of victory in this race of valour, for the reward both of
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The potential of modern financial economics theory to complement existing actuarial science was recognized by actuaries in the mid-twentieth century. In the late 1980s and early 1990s, there was a distinct effort for actuaries to combine financial theory and stochastic methods into their established
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estimating, forecasting, and valuation tools to provide financial and underwriting data for management to assess marketing opportunities and the nature of the risks. Actuarial science often helps to assess the overall risk from catastrophic events in relation to its underwriting capacity or surplus.
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companies tend to specialize because of the complexity and diversity of risks. One division is to organize around personal and commercial lines of insurance. Personal lines of insurance are for individuals and include fire, auto, homeowners, theft and umbrella coverages. Commercial lines address the
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methods they had used in the past. The introduction and development of the computer further revolutionized the actuarial profession. From pencil-and-paper to punchcards to current high-speed devices, the modeling and forecasting ability of the actuary has rapidly improved, while still being heavily
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In the 18th and 19th centuries, calculations were performed without computers. The computations of life insurance premiums and reserving requirements are rather complex, and actuaries developed techniques to make the calculations as easy as possible, for example "commutation functions" (essentially
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is often considered the father of modern actuarial science for his work in the field in the 1780s and 90s. Many other life insurance companies and pension funds were created over the following 200 years. Equitable Life was the first to use the word "actuary" for its chief executive officer in 1762.
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Historically, much of the foundation of actuarial theory predated modern financial theory. In the early twentieth century, actuaries were developing many techniques that can be found in modern financial theory, but for various historical reasons, these developments did not achieve much recognition.
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The Commutation Functions are a computational device to ensure that net single premiums...can all be obtained from a single table lookup. Historically, this idea has been very important in saving calculational labor when arriving at premium quotes. Even now...company employees without quantitative
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Another example is the use of actuarial models to assess the risk of sex offense recidivism. Actuarial models and associated tables, such as the MnSOST-R, Static-99, and SORAG, have been used since the late 1990s to determine the likelihood that a sex offender will re-offend and thus whether he or
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and the Federal Disability Insurance Trust Fund, conducts studies of program financing, performs actuarial and demographic research on social insurance and related program issues involving mortality, morbidity, utilization, retirement, disability, survivorship, marriage, unemployment, poverty, old
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concepts used in modern finance. The divergence is not related to the use of historical data and statistical projections of liability cash flows, but is instead caused by the manner in which traditional actuarial methods apply market data with those numbers. For example, one traditional actuarial
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There is an increasing trend to recognize that actuarial skills can be applied to a range of applications outside the traditional fields of insurance, pensions, etc. One notable example is the use in some US states of actuarial models to set criminal sentencing guidelines. These models attempt to
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In the pension industry, actuarial methods are used to measure the costs of alternative strategies with regard to the design, funding, accounting, administration, and maintenance or redesign of pension plans. The strategies are greatly influenced by short-term and long-term bond rates, the funded
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Many universities have undergraduate and graduate degree programs in actuarial science. In 2010, a study published by job search website CareerCast ranked actuary as the #1 job in the United States. The study used five key criteria to rank jobs: environment, income, employment outlook, physical
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and assurance pacts can be traced back to various forms of fellowship within the Saxon clans of England and their Germanic forebears, and to Celtic society. However, many of these earlier forms of surety and aid would often fail due to lack of understanding and knowledge.
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Previously, "actuary" meant an official who recorded the decisions, or "acts", of ecclesiastical courts. Other companies that did not use such mathematical and scientific methods most often failed or were forced to adopt the methods pioneered by Equitable.
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The 17th century was a period of advances in mathematics in Germany, France and England. At the same time there was a rapidly growing desire and need to place the valuation of personal risk on a more scientific basis. Independently of each other,
101:. Historically, actuarial science used deterministic models in the construction of tables and premiums. The science has gone through revolutionary changes since the 1980s due to the proliferation of high speed computers and the union of 179:
In health insurance, including insurance provided directly by employers, and social insurance, actuarial science focuses on the analysis of rates of disability, morbidity, mortality, fertility and other contingencies. The effects of
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are professionals trained in this discipline. In many countries, actuaries must demonstrate their competence by passing a series of rigorous professional examinations focused in fields such as probability and predictive analysis.
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plans and directs a program of actuarial estimates and analyses relating to SSA-administered retirement, survivors and disability insurance programs and to proposed changes in those programs. It evaluates operations of the
482:'s pioneering work on the long term insurance contracts under which the same premium is charged each year led to the formation of the Society for Equitable Assurances on Lives and Survivorship (now commonly known as 189:(RBRVS) at Harvard in a multi-disciplined study. Actuarial science also aids in the design of benefit structures, reimbursement standards, and the effects of proposed government standards on the cost of healthcare. 184:
and the geographical distribution of the utilization of medical services and procedures, and the utilization of drugs and therapies, is also of great importance. These factors underlay the development of the
409:. A small sum was paid into a communal fund on a weekly basis, and upon the death of a member, the fund would cover the expenses of rites and burial. These societies sometimes sold shares in the building of 1140:"An Estimate of the Degrees of the Mortality of Mankind, Drawn from Curious Tables of the Births and Funerals at the City of Breslaw; with an Attempt to Ascertain the Price of Annuities Upon Lives" 307: 270:
fields, actuarial science can be used to design and price reinsurance and retrocession arrangements, and to establish reserve funds for known claims and future claims and catastrophes.
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insurance needs of businesses and include property, business continuation, product liability, fleet/commercial vehicle, workers compensation, fidelity and surety, and
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to produce life insurance, annuities and endowment policies. Contemporary life insurance programs have been extended to include credit and mortgage insurance,
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Actuarial science became a formal mathematical discipline in the late 17th century with the increased demand for long-term insurance coverage such as burial,
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Silver, Eric; Chow-Martin, Lynette (October 2002). "A Multiple Models Approach To Assessing Recidivism Risk: Implications for Judicial Decision Making".
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some cases, the pension beneficiary assumes the risk, or the employer assumes the risk. The current debate now seems to be focusing on four principles:
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in the US have different practices, which is caused by different ways of calculating funding and investment strategies, and by different regulations.
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age, families with children, etc., and projects future workloads. In addition, the Office is charged with conducting cost analyses relating to the
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Essentially, financial economics state that pension assets should not be invested in equities for a variety of theoretical and practical reasons.
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and other industries and professions. More generally, actuaries apply rigorous mathematics to model matters of uncertainty and life expectancy.
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As a result, actuarial science developed along a different path, becoming more reliant on assumptions, as opposed to the
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processes were developed. Actuaries could now begin to estimate losses using models of random events, instead of the
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emerged as a well-understood mathematical discipline. Another important advance came in 1662 from a London
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dependent on the assumptions input into the models, and actuaries needed to adjust to this new world .
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assets and liabilities with identical cash flows should have the same price. This is at odds with
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fame). Halley constructed his own life table, and showed how it could be used to calculate the
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training could calculate premiums in a spreadsheet format with the aid of a life table.
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ranked actuary as the third-best job in the business sector and the eighth-best job in
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Actuarial science includes a number of interrelated subjects, including mathematics,
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mix of investments can change the value of liabilities and assets (by changing the
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The Suffering Self; Pain and Narrative Representation in the Early Christian Era
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In traditional life insurance, actuarial science focuses on the analysis of
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of a future sum. Certain aspects of the actuarial methods for discounting
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amount someone of a given age should pay to purchase a life annuity.
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Statistics applied to risk in insurance and other financial products
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Feldblum, Sholom (2001) . "Introduction". In Robert F. Lowe (ed.).
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Philosophical Transactions of the Royal Society of London
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agreements and pensions arose in antiquity. Early in the
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Actuarial science related to modern financial economics
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the value of an asset is independent of its financing.
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Autoregressive conditional heteroskedasticity (ARCH)
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American Academy of Actuaries, Contingencies Jul/Aug
873: 750: 594: 825: 666: 4308: 1608:(2). Faculty and Institute of Actuaries: 233–246. 813: 762: 690: 215:Federal Old-Age and Survivors Insurance Trust Fund 1835:"Actuaries' contributions to financial economics" 1666: 660: 5261: 861: 786: 642: 630: 618: 582: 273: 193:status of the pension and benefit arrangements, 4394:Multivariate adaptive regression splines (MARS) 1714:Actuarial Mathematics and Life-Table Statistics 352:assumption). This concept is inconsistent with 314:, which cushioned market fluctuations, and the 312:National Association of Insurance Commissioners 105:actuarial models with modern financial theory. 1369:. Archived from the original on April 14, 2003 2949: 1945: 1792:"Americans' donations to charity near record" 1497:Proceedings of the Casualty Actuarial Society 1463:Proceedings of the Casualty Actuarial Society 1010:Proceedings of the Casualty Actuarial Society 368:financial models should be free of arbitrage. 283:she should be institutionalized or set free. 1487: 891: 1873:"Fundamental Concepts of Actuarial Science" 1453: 915: 2994: 2956: 2942: 1952: 1938: 1781:: CS1 maint: location missing publisher ( 1769:those who have fallen and their survivors. 1563:Nieto, Marcus; David, Jung (August 2006). 1284:Journal of Health Politics, Policy and Law 1003:"On Becoming An Actuary of the Third Kind" 1000: 720: 3607: 1562: 1541: 1160: 1049:Foundations of Casualty Actuarial Science 1027: 952: 732: 684: 600: 494: 291:Traditional actuarial science and modern 1914:) is being considered for deletion. See 1514: 1347: 1191: 1110:Transactions of the Society of Actuaries 1046: 931: 903: 855: 780: 756: 744: 708: 672: 227:Applications to other forms of insurance 31: 1743:"VI â€“ Funeral Oration of Pericles" 1542:Needleman, Sarah E. (January 5, 2010). 1244: 879: 808:Faculty and Institute of Actuaries 2004 128:Life insurance, pensions and healthcare 14: 5262: 4920:Kaplan–Meier estimator (product limit) 1832: 1737: 1592: 1353:"Burial Places and Funeral Ceremonies" 1134: 843: 819: 768: 696: 425: 144:have come under criticism from modern 4993: 4560: 4307: 3606: 3376: 2993: 2937: 1933: 1602:Journal of the Institute of Actuaries 1400: 1324: 1274: 1100: 1083:"History of the actuarial profession" 975: 831: 648: 636: 624: 588: 381:how pension assets should be invested 231:Actuarial science is also applied to 5230: 4930:Accelerated failure time (AFT) model 1703: 1454:MacGinnitie, James (November 1980). 1425: 867: 792: 388: 316:Financial Accounting Standards Board 308:Mandatory Security Valuation Reserve 199:Financial Accounting Standards Board 5242: 4525:Analysis of variance (ANOVA, anova) 3377: 1636:Perkins, Judith (August 25, 1995). 24: 4620:Cochran–Mantel–Haenszel statistics 3246:Pearson product-moment correlation 1991:Accidental death and dismemberment 1595:"The Professional Name of Actuary" 1407:Institute and Faculty of Actuaries 474: 344:method suggests that changing the 187:Resource-Base Relative Value Scale 25: 5301: 1918:to help reach a consensus. â€ș 1897: 1327:"Harvard School of Public Health" 1275:Hsiao, William C. (August 2001). 1254:Encyclopedia of Actuarial Science 1247:"History of Actuarial Profession" 1101:Frees, Edward W. (January 1990). 613:U.S. News & World Report 2024 417:. Other early examples of mutual 5241: 5229: 5217: 5204: 5203: 4994: 2117:Directors and officers liability 1748:History of the Peloponnesian War 1488:Michelbacher, Gustav F. (1920). 1204:University of Chicago Law Review 932:BĂŒhlmann, Hans (November 1997). 204:In social welfare programs, the 4879:Least-squares spectral analysis 1864: 1833:Whelan, Shane (December 2002). 1001:D'Arcy, Stephen P. (May 1989). 545:Category:Actuarial associations 300:Armstrong investigation of 1905 47:is the discipline that applies 3860:Mean-unbiased minimum-variance 2963: 1871:Charles L. Trowbridge (1989). 1790:Tong, Vinnee (June 19, 2006). 1593:Ogborn, M.E. (December 1956). 1570:. California Research Bureau, 1401:Lewin, Chris (June 14, 2007). 1358:The Private Life of the Romans 924: 210:Social Security Administration 109:demands, and stress. In 2024, 13: 1: 5173:Geographic information system 4389:Simultaneous equations models 1959: 1903: 1669:Criminal Justice and Behavior 661:Silver & Chow-Martin 2002 576: 560:Reinsurance Actuarial Premium 274:Actuaries in criminal justice 4356:Coefficient of determination 3967:Uniformly most powerful test 2884:Savings and loan association 1818:U.S. News & World Report 1469:(127): 49–56. Archived from 1426:Loan, Albert (Winter 1992). 220:Supplemental Security Income 122: 112:U.S. News & World Report 7: 4925:Proportional hazards models 4869:Spectral density estimation 4851:Vector autoregression (VAR) 4285:Maximum posterior estimator 3517:Randomized controlled trial 2317:Insurance-linked securities 1515:Moriarty, Charlene (2006). 512: 206:Office of the Chief Actuary 10: 5306: 4685:Multivariate distributions 3105:Average absolute deviation 2006:Total permanent disability 1349:Johnston, Harold Whetstone 1057:Casualty Actuarial Society 1053:Arlington County, Virginia 415:mutual insurance companies 325: 321: 304:Glass–Steagall Act of 1932 5199: 5153: 5090: 5043: 5006: 5002: 4989: 4961: 4943: 4910: 4901: 4859: 4806: 4767: 4716: 4707: 4673:Structural equation model 4628: 4585: 4581: 4556: 4515: 4481: 4435: 4402: 4364: 4331: 4327: 4303: 4243: 4152: 4071: 4035: 4026: 4009:Score/Lagrange multiplier 3994: 3947: 3892: 3818: 3809: 3619: 3615: 3602: 3561: 3535: 3487: 3442: 3424:Sample size determination 3389: 3385: 3372: 3276: 3231: 3205: 3187: 3143: 3095: 3015: 3006: 3002: 2989: 2971: 2909: 2761: 2746:Health insurance coverage 2686: 2470: 2299: 2241: 2170: 2089: 2041: 2011:Business overhead expense 1976: 1967: 1614:10.1017/S0020268100046424 1544:"The Best and Worst Jobs" 1392:: CS1 maint: unfit URL ( 1325:Hsiao, William C (2004). 1296:10.1215/03616878-26-4-733 298:Regulations are from the 160:, and the application of 5168:Environmental statistics 4690:Elliptical distributions 4483:Generalized linear model 4412:Simple linear regression 4182:Hodges–Lehmann estimator 3639:Probability distribution 3548:Stochastic approximation 3110:Coefficient of variation 2147:Protection and indemnity 1916:templates for discussion 1572:California State Library 1438:(1): 538. Archived from 1116:: 91–148. Archived from 555:List of actuarial topics 170:long term care insurance 40:) table, Table 1, Page 1 4828:Cross-correlation (XCF) 4436:Non-standard predictors 3870:Lehmann–ScheffĂ© theorem 3543:Adaptive clinical trial 2604:Explanation of benefits 2076:Variable universal life 1704:Slud, Eric V. (2006) . 1681:10.1177/009385402236732 1549:The Wall Street Journal 1245:Hickman, James (2004). 954:10.2143/ast.27.2.542046 535:Actuarial present value 520:Actuarial control cycle 174:health savings accounts 89:, statistics, finance, 5224:Mathematics portal 5045:Engineering statistics 4953:Nelson–Aalen estimator 4530:Analysis of covariance 4417:Ordinary least squares 4341:Pearson product-moment 3745:Statistical functional 3656:Empirical distribution 3489:Controlled experiments 3218:Frequency distribution 2996:Descriptive statistics 2741:Health insurance costs 2142:Professional liability 1162:10.1098/rstl.1693.0007 495:Technological advances 341:risk-neutral valuation 328:Actuary § History 306:, the adoption of the 168:for small businesses, 41: 5140:Population statistics 5082:System identification 4816:Autocorrelation (ACF) 4744:Exponential smoothing 4658:Discriminant analysis 4653:Canonical correlation 4517:Partition of variance 4379:Regression validation 4223:(Jonckheere–Terpstra) 4122:Likelihood-ratio test 3811:Frequentist inference 3723:Location–scale family 3644:Sampling distribution 3609:Statistical inference 3576:Cross-sectional study 3563:Observational studies 3522:Randomized experiment 3351:Stem-and-leaf display 3153:Central limit theorem 2597:Out-of-pocket expense 2458:Workers' compensation 2112:Collateral protection 2102:Business interruption 1800:. Digital Chicago Inc 1432:Humane Studies Review 685:Nieto & Jung 2006 570:Scenario optimization 486:) in London in 1762. 201:in the United States. 195:collective bargaining 35: 5063:Probabilistic design 4648:Principal components 4491:Exponential families 4443:Nonlinear regression 4422:General linear model 4384:Mixed effects models 4374:Errors and residuals 4351:Confounding variable 4253:Bayesian probability 4231:Van der Waerden test 4221:Ordered alternative 3986:Multiple comparisons 3865:Rao–Blackwellization 3828:Estimating equations 3784:Statistical distance 3502:Factorial experiment 3035:Arithmetic-Geometric 2820:Corpus Juris Civilis 1193:Harcourt, Bernard E. 1155:(192–206): 596–610. 894:, pp. 224, 230. 166:key person insurance 156:, the production of 95:financial accounting 5135:Official statistics 5058:Methods engineering 4739:Seasonal adjustment 4507:Poisson regressions 4427:Bayesian regression 4366:Regression analysis 4346:Partial correlation 4318:Regression analysis 3917:Prediction interval 3912:Likelihood interval 3902:Confidence interval 3894:Interval estimation 3855:Unbiased estimators 3673:Model specification 3553:Up-and-down designs 3241:Partial correlation 3197:Index of dispersion 3115:Interquartile range 2879:Rochdale Principles 2874:Mutual savings bank 2869:Mutual organization 2854:Cooperative banking 2771:Mesopotamian banker 2051:Longevity insurance 1413:on October 20, 2011 1403:"Actuarial History" 989:on February 4, 2006 711:, pp. 169–171. 426:Initial development 354:financial economics 293:financial economics 146:financial economics 36:2003 US mortality ( 5290:Applied statistics 5155:Spatial statistics 5035:Medical statistics 4935:First hitting time 4889:Whittle likelihood 4540:Degrees of freedom 4535:Multivariate ANOVA 4468:Heteroscedasticity 4280:Bayesian estimator 4245:Bayesian inference 4094:Kolmogorov–Smirnov 3979:Randomization test 3949:Testing hypotheses 3922:Tolerance interval 3833:Maximum likelihood 3728:Exponential family 3661:Density estimation 3621:Statistical theory 3581:Natural experiment 3527:Scientific control 3444:Survey methodology 3130:Standard deviation 2631:Insurable interest 2132:Payment protection 2033:Payment protection 1813:"Actuary Overview" 1720:. pp. 149–150 530:Actuarial notation 437:probability theory 407:friendly societies 255:casualty insurance 87:probability theory 42: 5270:Actuarial science 5257: 5256: 5195: 5194: 5191: 5190: 5130:National accounts 5100:Actuarial science 5092:Social statistics 4985: 4984: 4981: 4980: 4977: 4976: 4912:Survival function 4897: 4896: 4759:Granger causality 4600:Contingency table 4575:Survival analysis 4552: 4551: 4548: 4547: 4404:Linear regression 4299: 4298: 4295: 4294: 4270:Credible interval 4239: 4238: 4022: 4021: 3838:Method of moments 3707:Parametric family 3668:Statistical model 3598: 3597: 3594: 3593: 3512:Random assignment 3434:Statistical power 3368: 3367: 3364: 3363: 3213:Contingency table 3183: 3182: 3050:Generalized/power 2931: 2930: 2776:Code of Hammurabi 2751:Vehicle insurance 2646:Replacement value 2538:Actual cash value 2502:Adverse selection 2492:Actuarial science 2466: 2465: 2398:Kidnap and ransom 2371:Extended warranty 2018:Income protection 1921:Actuarial science 1797:Chicago Sun-Times 1770: 1732: 1623:on March 20, 2012 1381: 918:, pp. 50–51. 892:Michelbacher 1920 687:, pp. 28–33. 540:Black swan theory 433:compound interest 389:Pre-formalisation 245:general insurance 162:compound interest 45:Actuarial science 16:(Redirected from 5297: 5245: 5244: 5233: 5232: 5222: 5221: 5207: 5206: 5110:Crime statistics 5004: 5003: 4991: 4990: 4908: 4907: 4874:Fourier analysis 4861:Frequency domain 4841: 4788: 4754:Structural break 4714: 4713: 4663:Cluster analysis 4610:Log-linear model 4583: 4582: 4558: 4557: 4499: 4473:Homoscedasticity 4329: 4328: 4305: 4304: 4224: 4216: 4208: 4207:(Kruskal–Wallis) 4192: 4177: 4132:Cross validation 4117: 4099:Anderson–Darling 4046: 4033: 4032: 4004:Likelihood-ratio 3996:Parametric tests 3974:Permutation test 3957:1- & 2-tails 3848:Minimum distance 3820:Point estimation 3816: 3815: 3767:Optimal decision 3718: 3617: 3616: 3604: 3603: 3586:Quasi-experiment 3536:Adaptive designs 3387: 3386: 3374: 3373: 3251:Rank correlation 3013: 3012: 3004: 3003: 2991: 2990: 2958: 2951: 2944: 2935: 2934: 2889:Social insurance 2844:Friendly society 2736:Health insurance 2564:Short rate table 2312:Catastrophe bond 2213:Lenders mortgage 1974: 1973: 1954: 1947: 1940: 1931: 1930: 1893: 1891: 1890: 1884: 1877: 1859: 1857: 1856: 1850: 1839: 1829: 1827: 1826: 1808: 1806: 1805: 1786: 1780: 1772: 1767: 1764: 1763: 1751:. Translated by 1734: 1729: 1726: 1725: 1719: 1710: 1700: 1663: 1632: 1630: 1628: 1622: 1616:. Archived from 1599: 1589: 1587: 1586: 1580: 1574:. Archived from 1569: 1559: 1557: 1556: 1538: 1536: 1535: 1529: 1523:. Archived from 1511: 1509: 1508: 1494: 1484: 1482: 1481: 1475: 1460: 1450: 1448: 1447: 1422: 1420: 1418: 1409:. Archived from 1397: 1391: 1383: 1378: 1375: 1374: 1344: 1342: 1341: 1335: 1329:. Archived from 1321: 1319: 1318: 1281: 1271: 1269: 1268: 1262: 1251: 1241: 1239: 1238: 1201: 1188: 1186: 1185: 1164: 1144: 1131: 1129: 1128: 1122: 1107: 1097: 1095: 1094: 1078: 1051:(4th ed.). 1043: 1041: 1040: 1024: 1022: 1021: 1007: 997: 995: 994: 988: 981: 972: 970: 969: 956: 938: 919: 916:MacGinnitie 1980 913: 907: 901: 895: 889: 883: 877: 871: 865: 859: 853: 847: 841: 835: 829: 823: 817: 811: 805: 796: 790: 784: 778: 772: 766: 760: 754: 748: 742: 736: 730: 724: 718: 712: 706: 700: 694: 688: 682: 676: 670: 664: 658: 652: 646: 640: 634: 628: 622: 616: 610: 604: 598: 592: 586: 443:, the father of 435:was studied and 403:burial insurance 346:asset allocation 99:computer science 21: 5305: 5304: 5300: 5299: 5298: 5296: 5295: 5294: 5285:Formal sciences 5260: 5259: 5258: 5253: 5216: 5187: 5149: 5086: 5072:quality control 5039: 5021:Clinical trials 4998: 4973: 4957: 4945:Hazard function 4939: 4893: 4855: 4839: 4802: 4798:Breusch–Godfrey 4786: 4763: 4703: 4678:Factor analysis 4624: 4605:Graphical model 4577: 4544: 4511: 4497: 4477: 4431: 4398: 4360: 4323: 4322: 4291: 4235: 4222: 4214: 4206: 4190: 4175: 4154:Rank statistics 4148: 4127:Model selection 4115: 4073:Goodness of fit 4067: 4044: 4018: 3990: 3943: 3888: 3877:Median unbiased 3805: 3716: 3649:Order statistic 3611: 3590: 3557: 3531: 3483: 3438: 3381: 3379:Data collection 3360: 3272: 3227: 3201: 3179: 3139: 3091: 3008:Continuous data 2998: 2985: 2967: 2962: 2932: 2927: 2905: 2901:Insurance cycle 2864:Fraternal order 2757: 2688: 2682: 2641:Proximate cause 2636:Insurance fraud 2616:General average 2575:Claims adjuster 2517:Risk management 2512:Risk assessment 2476: 2473: 2462: 2428:Prize indemnity 2295: 2243: 2237: 2166: 2127:Over-redemption 2085: 2037: 2028:National health 1969: 1963: 1958: 1919: 1900: 1888: 1886: 1882: 1875: 1870: 1867: 1862: 1854: 1852: 1848: 1837: 1824: 1822: 1803: 1801: 1789: 1774: 1773: 1761: 1759: 1753:Richard Crawley 1723: 1721: 1717: 1708: 1652: 1635: 1626: 1624: 1620: 1597: 1584: 1582: 1578: 1567: 1554: 1552: 1533: 1531: 1527: 1506: 1504: 1492: 1479: 1477: 1473: 1458: 1445: 1443: 1416: 1414: 1385: 1384: 1372: 1370: 1339: 1337: 1333: 1316: 1314: 1279: 1266: 1264: 1260: 1249: 1236: 1234: 1216:10.2307/1600548 1199: 1183: 1181: 1142: 1126: 1124: 1120: 1105: 1092: 1090: 1067: 1038: 1036: 1019: 1017: 1005: 992: 990: 986: 979: 967: 965: 936: 927: 922: 914: 910: 902: 898: 890: 886: 878: 874: 866: 862: 854: 850: 842: 838: 830: 826: 818: 814: 806: 799: 791: 787: 779: 775: 767: 763: 755: 751: 747:, pp. 8–9. 743: 739: 731: 727: 719: 715: 707: 703: 695: 691: 683: 679: 671: 667: 659: 655: 647: 643: 635: 631: 623: 619: 611: 607: 599: 595: 587: 583: 579: 574: 515: 497: 477: 475:Early actuaries 428: 391: 330: 324: 289: 276: 229: 182:consumer choice 130: 125: 28: 23: 22: 15: 12: 11: 5: 5303: 5293: 5292: 5287: 5282: 5277: 5272: 5255: 5254: 5252: 5251: 5239: 5227: 5213: 5200: 5197: 5196: 5193: 5192: 5189: 5188: 5186: 5185: 5180: 5175: 5170: 5165: 5159: 5157: 5151: 5150: 5148: 5147: 5142: 5137: 5132: 5127: 5122: 5117: 5112: 5107: 5102: 5096: 5094: 5088: 5087: 5085: 5084: 5079: 5074: 5065: 5060: 5055: 5049: 5047: 5041: 5040: 5038: 5037: 5032: 5027: 5018: 5016:Bioinformatics 5012: 5010: 5000: 4999: 4987: 4986: 4983: 4982: 4979: 4978: 4975: 4974: 4972: 4971: 4965: 4963: 4959: 4958: 4956: 4955: 4949: 4947: 4941: 4940: 4938: 4937: 4932: 4927: 4922: 4916: 4914: 4905: 4899: 4898: 4895: 4894: 4892: 4891: 4886: 4881: 4876: 4871: 4865: 4863: 4857: 4856: 4854: 4853: 4848: 4843: 4835: 4830: 4825: 4824: 4823: 4821:partial (PACF) 4812: 4810: 4804: 4803: 4801: 4800: 4795: 4790: 4782: 4777: 4771: 4769: 4768:Specific tests 4765: 4764: 4762: 4761: 4756: 4751: 4746: 4741: 4736: 4731: 4726: 4720: 4718: 4711: 4705: 4704: 4702: 4701: 4700: 4699: 4698: 4697: 4682: 4681: 4680: 4670: 4668:Classification 4665: 4660: 4655: 4650: 4645: 4640: 4634: 4632: 4626: 4625: 4623: 4622: 4617: 4615:McNemar's test 4612: 4607: 4602: 4597: 4591: 4589: 4579: 4578: 4554: 4553: 4550: 4549: 4546: 4545: 4543: 4542: 4537: 4532: 4527: 4521: 4519: 4513: 4512: 4510: 4509: 4493: 4487: 4485: 4479: 4478: 4476: 4475: 4470: 4465: 4460: 4455: 4453:Semiparametric 4450: 4445: 4439: 4437: 4433: 4432: 4430: 4429: 4424: 4419: 4414: 4408: 4406: 4400: 4399: 4397: 4396: 4391: 4386: 4381: 4376: 4370: 4368: 4362: 4361: 4359: 4358: 4353: 4348: 4343: 4337: 4335: 4325: 4324: 4321: 4320: 4315: 4309: 4301: 4300: 4297: 4296: 4293: 4292: 4290: 4289: 4288: 4287: 4277: 4272: 4267: 4266: 4265: 4260: 4249: 4247: 4241: 4240: 4237: 4236: 4234: 4233: 4228: 4227: 4226: 4218: 4210: 4194: 4191:(Mann–Whitney) 4186: 4185: 4184: 4171: 4170: 4169: 4158: 4156: 4150: 4149: 4147: 4146: 4145: 4144: 4139: 4134: 4124: 4119: 4116:(Shapiro–Wilk) 4111: 4106: 4101: 4096: 4091: 4083: 4077: 4075: 4069: 4068: 4066: 4065: 4057: 4048: 4036: 4030: 4028:Specific tests 4024: 4023: 4020: 4019: 4017: 4016: 4011: 4006: 4000: 3998: 3992: 3991: 3989: 3988: 3983: 3982: 3981: 3971: 3970: 3969: 3959: 3953: 3951: 3945: 3944: 3942: 3941: 3940: 3939: 3934: 3924: 3919: 3914: 3909: 3904: 3898: 3896: 3890: 3889: 3887: 3886: 3881: 3880: 3879: 3874: 3873: 3872: 3867: 3852: 3851: 3850: 3845: 3840: 3835: 3824: 3822: 3813: 3807: 3806: 3804: 3803: 3798: 3793: 3792: 3791: 3781: 3776: 3775: 3774: 3764: 3763: 3762: 3757: 3752: 3742: 3737: 3732: 3731: 3730: 3725: 3720: 3704: 3703: 3702: 3697: 3692: 3682: 3681: 3680: 3675: 3665: 3664: 3663: 3653: 3652: 3651: 3641: 3636: 3631: 3625: 3623: 3613: 3612: 3600: 3599: 3596: 3595: 3592: 3591: 3589: 3588: 3583: 3578: 3573: 3567: 3565: 3559: 3558: 3556: 3555: 3550: 3545: 3539: 3537: 3533: 3532: 3530: 3529: 3524: 3519: 3514: 3509: 3504: 3499: 3493: 3491: 3485: 3484: 3482: 3481: 3479:Standard error 3476: 3471: 3466: 3465: 3464: 3459: 3448: 3446: 3440: 3439: 3437: 3436: 3431: 3426: 3421: 3416: 3411: 3409:Optimal design 3406: 3401: 3395: 3393: 3383: 3382: 3370: 3369: 3366: 3365: 3362: 3361: 3359: 3358: 3353: 3348: 3343: 3338: 3333: 3328: 3323: 3318: 3313: 3308: 3303: 3298: 3293: 3288: 3282: 3280: 3274: 3273: 3271: 3270: 3265: 3264: 3263: 3258: 3248: 3243: 3237: 3235: 3229: 3228: 3226: 3225: 3220: 3215: 3209: 3207: 3206:Summary tables 3203: 3202: 3200: 3199: 3193: 3191: 3185: 3184: 3181: 3180: 3178: 3177: 3176: 3175: 3170: 3165: 3155: 3149: 3147: 3141: 3140: 3138: 3137: 3132: 3127: 3122: 3117: 3112: 3107: 3101: 3099: 3093: 3092: 3090: 3089: 3084: 3079: 3078: 3077: 3072: 3067: 3062: 3057: 3052: 3047: 3042: 3040:Contraharmonic 3037: 3032: 3021: 3019: 3010: 3000: 2999: 2987: 2986: 2984: 2983: 2978: 2972: 2969: 2968: 2961: 2960: 2953: 2946: 2938: 2929: 2928: 2926: 2925: 2922:List of topics 2918: 2910: 2907: 2906: 2904: 2903: 2898: 2897: 2896: 2891: 2886: 2881: 2876: 2871: 2866: 2861: 2856: 2851: 2837: 2832: 2831: 2830: 2816: 2815: 2814: 2809: 2807:Burial society 2797: 2796: 2795: 2789:§235–238; §240 2781:§100–105; §126 2773: 2767: 2765: 2759: 2758: 2756: 2755: 2754: 2753: 2748: 2743: 2738: 2733: 2731:Climate change 2723: 2721:United Kingdom 2718: 2713: 2708: 2703: 2698: 2692: 2690: 2684: 2683: 2681: 2680: 2679: 2678: 2668: 2666:Underinsurance 2663: 2658: 2656:Self-insurance 2653: 2648: 2643: 2638: 2633: 2628: 2623: 2618: 2613: 2606: 2601: 2600: 2599: 2594: 2589: 2579: 2578: 2577: 2567: 2566: 2565: 2562: 2550: 2545: 2540: 2535: 2534: 2533: 2528: 2519: 2514: 2509: 2504: 2499: 2489: 2483: 2481: 2468: 2467: 2464: 2463: 2461: 2460: 2455: 2450: 2445: 2440: 2435: 2430: 2425: 2423:Political risk 2420: 2415: 2410: 2405: 2403:Legal expenses 2400: 2395: 2390: 2389: 2388: 2378: 2373: 2368: 2363: 2358: 2353: 2352: 2351: 2346: 2336: 2331: 2326: 2321: 2320: 2319: 2314: 2303: 2301: 2297: 2296: 2294: 2293: 2288: 2283: 2278: 2273: 2268: 2263: 2258: 2253: 2247: 2245: 2239: 2238: 2236: 2235: 2230: 2225: 2220: 2215: 2210: 2205: 2200: 2195: 2190: 2185: 2183:Builder's risk 2180: 2174: 2172: 2168: 2167: 2165: 2164: 2159: 2154: 2149: 2144: 2139: 2134: 2129: 2124: 2119: 2114: 2109: 2107:Business owner 2104: 2099: 2093: 2091: 2087: 2086: 2084: 2083: 2078: 2073: 2071:Universal life 2068: 2063: 2058: 2053: 2047: 2045: 2039: 2038: 2036: 2035: 2030: 2025: 2023:Long-term care 2020: 2015: 2014: 2013: 2008: 1998: 1993: 1988: 1982: 1980: 1971: 1965: 1964: 1957: 1956: 1949: 1942: 1934: 1928: 1927: 1899: 1898:External links 1896: 1895: 1894: 1866: 1863: 1861: 1860: 1830: 1809: 1787: 1741:(1994–2009) . 1735: 1701: 1675:(5): 538–568. 1664: 1650: 1633: 1590: 1560: 1539: 1512: 1485: 1451: 1423: 1398: 1345: 1322: 1290:(4): 733–737. 1272: 1242: 1189: 1136:Halley, Edmond 1132: 1098: 1079: 1065: 1044: 1025: 998: 973: 947:(2): 165–171. 941:ASTIN Bulletin 928: 926: 923: 921: 920: 908: 906:, p. 168. 896: 884: 872: 860: 858:, p. 166. 848: 846:, p. 235. 836: 824: 812: 797: 785: 773: 761: 749: 737: 733:Economist 2006 725: 713: 701: 689: 677: 665: 653: 641: 629: 617: 605: 601:Needleman 2010 593: 580: 578: 575: 573: 572: 567: 562: 557: 552: 547: 542: 537: 532: 527: 525:Actuarial exam 522: 516: 514: 511: 496: 493: 488:William Morgan 484:Equitable Life 476: 473: 465:Halley's comet 427: 424: 390: 387: 383: 382: 379: 376: 369: 338:arbitrage-free 323: 320: 288: 285: 275: 272: 228: 225: 224: 223: 202: 190: 177: 134:life insurance 129: 126: 124: 121: 26: 9: 6: 4: 3: 2: 5302: 5291: 5288: 5286: 5283: 5281: 5278: 5276: 5273: 5271: 5268: 5267: 5265: 5250: 5249: 5240: 5238: 5237: 5228: 5226: 5225: 5220: 5214: 5212: 5211: 5202: 5201: 5198: 5184: 5181: 5179: 5178:Geostatistics 5176: 5174: 5171: 5169: 5166: 5164: 5161: 5160: 5158: 5156: 5152: 5146: 5145:Psychometrics 5143: 5141: 5138: 5136: 5133: 5131: 5128: 5126: 5123: 5121: 5118: 5116: 5113: 5111: 5108: 5106: 5103: 5101: 5098: 5097: 5095: 5093: 5089: 5083: 5080: 5078: 5075: 5073: 5069: 5066: 5064: 5061: 5059: 5056: 5054: 5051: 5050: 5048: 5046: 5042: 5036: 5033: 5031: 5028: 5026: 5022: 5019: 5017: 5014: 5013: 5011: 5009: 5008:Biostatistics 5005: 5001: 4997: 4992: 4988: 4970: 4969:Log-rank test 4967: 4966: 4964: 4960: 4954: 4951: 4950: 4948: 4946: 4942: 4936: 4933: 4931: 4928: 4926: 4923: 4921: 4918: 4917: 4915: 4913: 4909: 4906: 4904: 4900: 4890: 4887: 4885: 4882: 4880: 4877: 4875: 4872: 4870: 4867: 4866: 4864: 4862: 4858: 4852: 4849: 4847: 4844: 4842: 4840:(Box–Jenkins) 4836: 4834: 4831: 4829: 4826: 4822: 4819: 4818: 4817: 4814: 4813: 4811: 4809: 4805: 4799: 4796: 4794: 4793:Durbin–Watson 4791: 4789: 4783: 4781: 4778: 4776: 4775:Dickey–Fuller 4773: 4772: 4770: 4766: 4760: 4757: 4755: 4752: 4750: 4749:Cointegration 4747: 4745: 4742: 4740: 4737: 4735: 4732: 4730: 4727: 4725: 4724:Decomposition 4722: 4721: 4719: 4715: 4712: 4710: 4706: 4696: 4693: 4692: 4691: 4688: 4687: 4686: 4683: 4679: 4676: 4675: 4674: 4671: 4669: 4666: 4664: 4661: 4659: 4656: 4654: 4651: 4649: 4646: 4644: 4641: 4639: 4636: 4635: 4633: 4631: 4627: 4621: 4618: 4616: 4613: 4611: 4608: 4606: 4603: 4601: 4598: 4596: 4595:Cohen's kappa 4593: 4592: 4590: 4588: 4584: 4580: 4576: 4572: 4568: 4564: 4559: 4555: 4541: 4538: 4536: 4533: 4531: 4528: 4526: 4523: 4522: 4520: 4518: 4514: 4508: 4504: 4500: 4494: 4492: 4489: 4488: 4486: 4484: 4480: 4474: 4471: 4469: 4466: 4464: 4461: 4459: 4456: 4454: 4451: 4449: 4448:Nonparametric 4446: 4444: 4441: 4440: 4438: 4434: 4428: 4425: 4423: 4420: 4418: 4415: 4413: 4410: 4409: 4407: 4405: 4401: 4395: 4392: 4390: 4387: 4385: 4382: 4380: 4377: 4375: 4372: 4371: 4369: 4367: 4363: 4357: 4354: 4352: 4349: 4347: 4344: 4342: 4339: 4338: 4336: 4334: 4330: 4326: 4319: 4316: 4314: 4311: 4310: 4306: 4302: 4286: 4283: 4282: 4281: 4278: 4276: 4273: 4271: 4268: 4264: 4261: 4259: 4256: 4255: 4254: 4251: 4250: 4248: 4246: 4242: 4232: 4229: 4225: 4219: 4217: 4211: 4209: 4203: 4202: 4201: 4198: 4197:Nonparametric 4195: 4193: 4187: 4183: 4180: 4179: 4178: 4172: 4168: 4167:Sample median 4165: 4164: 4163: 4160: 4159: 4157: 4155: 4151: 4143: 4140: 4138: 4135: 4133: 4130: 4129: 4128: 4125: 4123: 4120: 4118: 4112: 4110: 4107: 4105: 4102: 4100: 4097: 4095: 4092: 4090: 4088: 4084: 4082: 4079: 4078: 4076: 4074: 4070: 4064: 4062: 4058: 4056: 4054: 4049: 4047: 4042: 4038: 4037: 4034: 4031: 4029: 4025: 4015: 4012: 4010: 4007: 4005: 4002: 4001: 3999: 3997: 3993: 3987: 3984: 3980: 3977: 3976: 3975: 3972: 3968: 3965: 3964: 3963: 3960: 3958: 3955: 3954: 3952: 3950: 3946: 3938: 3935: 3933: 3930: 3929: 3928: 3925: 3923: 3920: 3918: 3915: 3913: 3910: 3908: 3905: 3903: 3900: 3899: 3897: 3895: 3891: 3885: 3882: 3878: 3875: 3871: 3868: 3866: 3863: 3862: 3861: 3858: 3857: 3856: 3853: 3849: 3846: 3844: 3841: 3839: 3836: 3834: 3831: 3830: 3829: 3826: 3825: 3823: 3821: 3817: 3814: 3812: 3808: 3802: 3799: 3797: 3794: 3790: 3787: 3786: 3785: 3782: 3780: 3777: 3773: 3772:loss function 3770: 3769: 3768: 3765: 3761: 3758: 3756: 3753: 3751: 3748: 3747: 3746: 3743: 3741: 3738: 3736: 3733: 3729: 3726: 3724: 3721: 3719: 3713: 3710: 3709: 3708: 3705: 3701: 3698: 3696: 3693: 3691: 3688: 3687: 3686: 3683: 3679: 3676: 3674: 3671: 3670: 3669: 3666: 3662: 3659: 3658: 3657: 3654: 3650: 3647: 3646: 3645: 3642: 3640: 3637: 3635: 3632: 3630: 3627: 3626: 3624: 3622: 3618: 3614: 3610: 3605: 3601: 3587: 3584: 3582: 3579: 3577: 3574: 3572: 3569: 3568: 3566: 3564: 3560: 3554: 3551: 3549: 3546: 3544: 3541: 3540: 3538: 3534: 3528: 3525: 3523: 3520: 3518: 3515: 3513: 3510: 3508: 3505: 3503: 3500: 3498: 3495: 3494: 3492: 3490: 3486: 3480: 3477: 3475: 3474:Questionnaire 3472: 3470: 3467: 3463: 3460: 3458: 3455: 3454: 3453: 3450: 3449: 3447: 3445: 3441: 3435: 3432: 3430: 3427: 3425: 3422: 3420: 3417: 3415: 3412: 3410: 3407: 3405: 3402: 3400: 3397: 3396: 3394: 3392: 3388: 3384: 3380: 3375: 3371: 3357: 3354: 3352: 3349: 3347: 3344: 3342: 3339: 3337: 3334: 3332: 3329: 3327: 3324: 3322: 3319: 3317: 3314: 3312: 3309: 3307: 3304: 3302: 3301:Control chart 3299: 3297: 3294: 3292: 3289: 3287: 3284: 3283: 3281: 3279: 3275: 3269: 3266: 3262: 3259: 3257: 3254: 3253: 3252: 3249: 3247: 3244: 3242: 3239: 3238: 3236: 3234: 3230: 3224: 3221: 3219: 3216: 3214: 3211: 3210: 3208: 3204: 3198: 3195: 3194: 3192: 3190: 3186: 3174: 3171: 3169: 3166: 3164: 3161: 3160: 3159: 3156: 3154: 3151: 3150: 3148: 3146: 3142: 3136: 3133: 3131: 3128: 3126: 3123: 3121: 3118: 3116: 3113: 3111: 3108: 3106: 3103: 3102: 3100: 3098: 3094: 3088: 3085: 3083: 3080: 3076: 3073: 3071: 3068: 3066: 3063: 3061: 3058: 3056: 3053: 3051: 3048: 3046: 3043: 3041: 3038: 3036: 3033: 3031: 3028: 3027: 3026: 3023: 3022: 3020: 3018: 3014: 3011: 3009: 3005: 3001: 2997: 2992: 2988: 2982: 2979: 2977: 2974: 2973: 2970: 2966: 2959: 2954: 2952: 2947: 2945: 2940: 2939: 2936: 2924: 2923: 2919: 2917: 2916: 2912: 2911: 2908: 2902: 2899: 2895: 2892: 2890: 2887: 2885: 2882: 2880: 2877: 2875: 2872: 2870: 2867: 2865: 2862: 2860: 2857: 2855: 2852: 2850: 2847: 2846: 2845: 2841: 2838: 2836: 2833: 2829: 2828: 2824: 2823: 2822: 2821: 2817: 2813: 2810: 2808: 2805: 2804: 2803: 2802: 2798: 2794: 2790: 2786: 2782: 2779: 2778: 2777: 2774: 2772: 2769: 2768: 2766: 2764: 2760: 2752: 2749: 2747: 2744: 2742: 2739: 2737: 2734: 2732: 2729: 2728: 2727: 2726:United States 2724: 2722: 2719: 2717: 2714: 2712: 2709: 2707: 2704: 2702: 2699: 2697: 2694: 2693: 2691: 2685: 2677: 2674: 2673: 2672: 2669: 2667: 2664: 2662: 2659: 2657: 2654: 2652: 2649: 2647: 2644: 2642: 2639: 2637: 2634: 2632: 2629: 2627: 2624: 2622: 2619: 2617: 2614: 2612: 2611: 2610:Force majeure 2607: 2605: 2602: 2598: 2595: 2593: 2590: 2588: 2585: 2584: 2583: 2580: 2576: 2573: 2572: 2571: 2568: 2563: 2561: 2560: 2556: 2555: 2554: 2551: 2549: 2546: 2544: 2541: 2539: 2536: 2532: 2531:Value of life 2529: 2527: 2523: 2520: 2518: 2515: 2513: 2510: 2508: 2505: 2503: 2500: 2498: 2495: 2494: 2493: 2490: 2488: 2485: 2484: 2482: 2480: 2475: 2469: 2459: 2456: 2454: 2451: 2449: 2446: 2444: 2441: 2439: 2436: 2434: 2431: 2429: 2426: 2424: 2421: 2419: 2416: 2414: 2411: 2409: 2406: 2404: 2401: 2399: 2396: 2394: 2393:Interest rate 2391: 2387: 2384: 2383: 2382: 2379: 2377: 2374: 2372: 2369: 2367: 2364: 2362: 2359: 2357: 2354: 2350: 2347: 2345: 2342: 2341: 2340: 2337: 2335: 2332: 2330: 2327: 2325: 2322: 2318: 2315: 2313: 2310: 2309: 2308: 2305: 2304: 2302: 2298: 2292: 2289: 2287: 2284: 2282: 2279: 2277: 2274: 2272: 2269: 2267: 2264: 2262: 2261:Inland marine 2259: 2257: 2256:GAP insurance 2254: 2252: 2249: 2248: 2246: 2244:Communication 2240: 2234: 2231: 2229: 2226: 2224: 2221: 2219: 2216: 2214: 2211: 2209: 2206: 2204: 2201: 2199: 2196: 2194: 2191: 2189: 2186: 2184: 2181: 2179: 2176: 2175: 2173: 2169: 2163: 2160: 2158: 2155: 2153: 2150: 2148: 2145: 2143: 2140: 2138: 2135: 2133: 2130: 2128: 2125: 2123: 2120: 2118: 2115: 2113: 2110: 2108: 2105: 2103: 2100: 2098: 2095: 2094: 2092: 2088: 2082: 2079: 2077: 2074: 2072: 2069: 2067: 2066:Unitised fund 2064: 2062: 2059: 2057: 2056:Mortgage life 2054: 2052: 2049: 2048: 2046: 2044: 2040: 2034: 2031: 2029: 2026: 2024: 2021: 2019: 2016: 2012: 2009: 2007: 2004: 2003: 2002: 1999: 1997: 1994: 1992: 1989: 1987: 1984: 1983: 1981: 1979: 1975: 1972: 1966: 1962: 1955: 1950: 1948: 1943: 1941: 1936: 1935: 1932: 1926: 1922: 1917: 1913: 1912: 1907: 1902: 1901: 1885:on 2006-06-29 1881: 1874: 1869: 1868: 1851:on 2006-07-24 1847: 1843: 1836: 1831: 1820: 1819: 1814: 1810: 1799: 1798: 1793: 1788: 1784: 1778: 1771: 1758: 1754: 1750: 1749: 1744: 1740: 1736: 1733: 1716: 1715: 1707: 1702: 1698: 1694: 1690: 1686: 1682: 1678: 1674: 1670: 1665: 1661: 1657: 1653: 1651:0-415-11363-6 1647: 1643: 1639: 1634: 1619: 1615: 1611: 1607: 1603: 1596: 1591: 1581:on 2006-09-23 1577: 1573: 1566: 1561: 1551: 1550: 1545: 1540: 1530:on 2006-09-23 1526: 1522: 1518: 1513: 1503:(14): 201–249 1502: 1498: 1491: 1486: 1476:on 2006-07-21 1472: 1468: 1464: 1457: 1452: 1442:on 2006-06-14 1441: 1437: 1433: 1429: 1424: 1412: 1408: 1404: 1399: 1395: 1389: 1382: 1368: 1364: 1360: 1359: 1354: 1350: 1346: 1336:on 2007-03-27 1332: 1328: 1323: 1313: 1309: 1305: 1301: 1297: 1293: 1289: 1285: 1278: 1273: 1263:on 2006-07-24 1259: 1255: 1248: 1243: 1233: 1229: 1225: 1221: 1217: 1213: 1209: 1205: 1198: 1194: 1190: 1180: 1176: 1172: 1168: 1163: 1158: 1154: 1150: 1149: 1141: 1137: 1133: 1123:on 2006-01-03 1119: 1115: 1111: 1104: 1099: 1089:on 2008-04-04 1088: 1084: 1080: 1076: 1072: 1068: 1066:0-9624762-2-6 1062: 1058: 1054: 1050: 1045: 1034: 1033:The Economist 1030: 1026: 1015: 1011: 1004: 999: 985: 978: 974: 964: 960: 955: 950: 946: 942: 935: 930: 929: 917: 912: 905: 904:BĂŒhlmann 1997 900: 893: 888: 881: 876: 869: 864: 857: 856:BĂŒhlmann 1997 852: 845: 840: 834:, p. 38. 833: 828: 821: 816: 809: 804: 802: 794: 789: 782: 781:Johnston 1932 777: 770: 765: 758: 757:Moriarty 2006 753: 746: 745:Feldblum 2001 741: 734: 729: 722: 717: 710: 709:BĂŒhlmann 1997 705: 698: 693: 686: 681: 674: 673:Harcourt 2003 669: 662: 657: 650: 645: 638: 633: 626: 621: 614: 609: 602: 597: 590: 585: 581: 571: 568: 566: 563: 561: 558: 556: 553: 551: 548: 546: 543: 541: 538: 536: 533: 531: 528: 526: 523: 521: 518: 517: 510: 507: 506:deterministic 503: 492: 489: 485: 481: 472: 470: 466: 462: 461:Edmond Halley 458: 454: 450: 446: 442: 438: 434: 423: 420: 416: 412: 408: 404: 400: 396: 386: 380: 377: 374: 370: 367: 366: 365: 361: 357: 355: 351: 350:discount rate 347: 342: 339: 334: 329: 319: 317: 313: 309: 305: 301: 296: 294: 284: 280: 271: 269: 264: 261: 256: 252: 248: 246: 242: 238: 234: 221: 216: 211: 207: 203: 200: 196: 191: 188: 183: 178: 175: 171: 167: 163: 159: 155: 151: 150: 149: 147: 143: 142:pension funds 139: 138:present value 135: 120: 118: 114: 113: 106: 104: 100: 96: 92: 88: 83: 80: 76: 74: 70: 66: 62: 58: 54: 50: 46: 39: 34: 30: 19: 5246: 5234: 5215: 5208: 5120:Econometrics 5099: 5070: / 5053:Chemometrics 5030:Epidemiology 5023: / 4996:Applications 4838:ARIMA model 4785:Q-statistic 4734:Stationarity 4630:Multivariate 4573: / 4569: / 4567:Multivariate 4565: / 4505: / 4501: / 4275:Bayes factor 4174:Signed rank 4086: 4060: 4052: 4040: 3735:Completeness 3571:Cohort study 3469:Opinion poll 3404:Missing data 3391:Study design 3346:Scatter plot 3268:Scatter plot 3261:Spearman's ρ 3223:Grouped data 2920: 2913: 2859:Credit union 2825: 2818: 2799: 2671:Underwriting 2626:Insurability 2608: 2587:Co-insurance 2557: 2553:Cancellation 2491: 2344:Catastrophic 2329:Climate risk 2157:Trade credit 1909: 1887:. 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Retrieved 944: 940: 911: 899: 887: 882:, p. 4. 880:Hickman 2004 875: 863: 851: 839: 827: 815: 788: 783:, §475–§476. 776: 764: 752: 740: 728: 716: 704: 692: 680: 668: 656: 644: 632: 620: 608: 596: 584: 498: 480:James Dodson 478: 429: 399:Roman empire 392: 384: 362: 358: 335: 331: 297: 290: 281: 277: 265: 249: 230: 131: 110: 107: 84: 77: 49:mathematical 44: 43: 29: 5248:WikiProject 5163:Cartography 5125:Jurimetrics 5077:Reliability 4808:Time domain 4787:(Ljung–Box) 4709:Time-series 4587:Categorical 4571:Time-series 4563:Categorical 4498:(Bernoulli) 4333:Correlation 4313:Correlation 4109:Jarque–Bera 4081:Chi-squared 3843:M-estimator 3796:Asymptotics 3740:Sufficiency 3507:Interaction 3419:Replication 3399:Effect size 3356:Violin plot 3336:Radar chart 3316:Forest plot 3306:Correlogram 3256:Kendall's τ 2894:Trade union 2849:Cooperative 2522:Uncertainty 2381:Index-based 2349:Multi-peril 2307:Reinsurance 2266:Public auto 2171:Residential 1904:â€č The 1842:The Actuary 925:Works cited 844:Ogborn 1956 820:Halley 1693 721:D'Arcy 1989 697:Whelan 2002 565:Ruin theory 550:Data mining 449:John Graunt 393:Elementary 268:reinsurance 158:life tables 57:assess risk 55:methods to 53:statistical 5280:Demography 5264:Categories 5115:Demography 4833:ARMA model 4638:Regression 4215:(Friedman) 4176:(Wilcoxon) 4114:Normality 4104:Lilliefors 4051:Student's 3927:Resampling 3801:Robustness 3789:divergence 3779:Efficiency 3717:(monotone) 3712:Likelihood 3629:Population 3462:Stratified 3414:Population 3233:Dependence 3189:Count data 3120:Percentile 3097:Dispersion 3030:Arithmetic 2965:Statistics 2689:by country 2687:Insurance 2661:Total loss 2582:Deductible 2543:Cash value 2487:Act of God 2472:Insurance 2386:Parametric 2366:Expatriate 2242:Transport/ 2208:Landlords' 2193:Earthquake 2081:Whole life 2001:Disability 1889:2006-06-28 1855:2006-06-28 1825:2024-08-20 1804:2006-06-21 1762:2006-06-27 1739:Thucydides 1724:2006-06-28 1640:. 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Index

Actuarial

life
mathematical
statistical
assess risk
insurance
pension
finance
investment
Actuaries
probability theory
economics
financial accounting
computer science
stochastic
U.S. News & World Report
STEM
life insurance
present value
pension funds
financial economics
mortality
life tables
compound interest
key person insurance
long term care insurance
health savings accounts
consumer choice
Resource-Base Relative Value Scale

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