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1219:
The following shows how to implement a location–scale family in a statistical package or programming environment where only functions for the "standard" version of a distribution are available. It is designed for
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1140:, if all alternative distributions available to a decision-maker are in the same location–scale family, and the first two moments are finite, then a
1164:, though not all. Well-known families in which the functional form of the distribution is consistent throughout the family include the following:
2855:
831:
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5177:
3925:
3510:
1160:
Often, location–scale families are restricted to those where all members have the same functional form. Most location–scale families are
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1203:
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are two random variables whose distribution functions are members of the family, and assuming existence of the first two moments and
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1770:
1470:
4909:
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4171:
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4368:
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5010:
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1183:
175:
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355:
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32:
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whose probability distribution function belongs to such a family, the distribution function of
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2158:
2123:
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2011:
1966:
1905:
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1490:
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313:
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2500:
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2016:
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4328:
8:
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2416:
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1976:
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2493:
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2204:
2175:
2135:
2095:
2041:
1958:
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1639:
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1375:
1116:
980:
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920:
731:
532:
337:
49:
36:
20:
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3129:
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2784:
2772:
2398:
2315:
2259:
2182:
2026:
1948:
1727:
1601:
1301:
1364:
Meyer, Jack (1987). "Two-Moment
Decision Models and Expected Utility Maximization".
4161:
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2214:
2209:
2163:
1893:
1544:
1393:
Mayshar, J. (1978). "A Note on
Feldstein's Criticism of Mean-Variance Analysis".
1137:
44:
40:
3076:
4234:
3535:
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1993:
1923:
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1988:
1815:
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2789:
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1983:
1918:
1860:
1845:
1782:
1737:
1235:, which is normally provided in R only in its standard form, with a single
3677:
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2898:
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2357:
2274:
2269:
1913:
1870:
1850:
1830:
1820:
1589:
906:{\displaystyle f_{Y}(y)={\frac {1}{b}}f_{X}\left({\frac {y-a}{b}}\right)}
2523:
2003:
1703:
1634:
1584:
1559:
1479:
1408:
1379:
24:
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2148:
1943:
1855:
1840:
1835:
1800:
2192:
1810:
1687:
1682:
1677:
1339:
Note that the generalized functions do not have standard deviation
1149:
174:
of probability distributions is a location–scale family if for all
828:
is a continuous random variable with probability density function
3697:
3398:
3619:
2600:
2574:
2554:
1805:
1596:
1444:
http://www.randomservices.org/random/special/LocationScale.html
1448:
1144:
can apply, and decision-making can be framed in terms of the
650:
is a discrete random variable with probability mass function
1539:
1215:
Converting a single distribution to a location–scale family
718:{\displaystyle p_{Y}(y)=p_{X}\left({\frac {y-a}{b}}\right)}
519:{\displaystyle F_{Y}(y)=F_{X}\left({\frac {y-a}{b}}\right)}
1052:{\displaystyle Y{\stackrel {d}{=}}\mu _{Y}+\sigma _{Y}X}
1119:
1092:
1065:
1003:
983:
963:
943:
923:
834:
797:
761:
734:
656:
619:
562:
535:
457:
420:
363:
340:
316:
263:
237:
209:
183:
160:
120:
72:
52:
3804:
3361:
Autoregressive conditional heteroskedasticity (ARCH)
1347:
distribution does not have standard deviation of 1.
1224:but should generalize to any language and library.
2823:
1125:
1105:
1078:
1051:
989:
969:
949:
929:
905:
820:
783:
740:
717:
642:
605:
541:
518:
443:
406:
346:
322:
302:
249:
223:
195:
166:
139:
106:
58:
5164:
5183:Location-scale family probability distributions
2909:Multivariate adaptive regression splines (MARS)
3790:
1464:
151:"—that is, "has the same distribution as").
3797:
3783:
1509:
1471:
1457:
1247:appended show how to generalize this to a
2122:
1429:(Second English ed.). North-Holland.
217:
1392:
1113:are the mean and standard deviation of
451:has a cumulative distribution function
107:{\displaystyle Y{\stackrel {d}{=}}a+bX}
5165:
3435:Kaplan–Meier estimator (product limit)
1209:Generalized extreme value distribution
977:has zero mean and unit variance, then
3778:
3508:
3075:
2822:
2121:
1891:
1508:
1452:
1363:
1251:with an arbitrary location parameter
5147:
3745:
3445:Accelerated failure time (AFT) model
1427:Economic Decisions under Uncertainty
1421:
1249:generalized Student's t-distribution
3757:
3040:Analysis of variance (ANOVA, anova)
1892:
407:{\displaystyle F_{X}(x)=P(X\leq x)}
16:Family of probability distributions
13:
5178:Types of probability distributions
3135:Cochran–Mantel–Haenszel statistics
1761:Pearson product-moment correlation
317:
190:
161:
140:{\displaystyle {\stackrel {d}{=}}}
114:also belongs to the family (where
14:
5194:
1437:
1184:Uniform distribution (continuous)
224:{\displaystyle a\in \mathbb {R} }
176:cumulative distribution functions
5146:
5137:
5136:
3756:
3744:
3732:
3719:
3718:
3509:
1284:Cumulative distribution function
356:cumulative distribution function
3394:Least-squares spectral analysis
1189:Uniform distribution (discrete)
606:{\displaystyle p_{X}(x)=P(X=x)}
2375:Mean-unbiased minimum-variance
1478:
1415:
1386:
1357:
851:
845:
778:
772:
673:
667:
600:
588:
579:
573:
474:
468:
401:
389:
380:
374:
297:
282:
273:
267:
1:
3688:Geographic information system
2904:Simultaneous equations models
1350:
23:, especially in mathematical
2871:Coefficient of determination
2482:Uniformly most powerful test
1266:Probability density function
754:probability density function
303:{\displaystyle G(x)=F(a+bx)}
257:, the distribution function
196:{\displaystyle F\in \Omega }
7:
3440:Proportional hazards models
3384:Spectral density estimation
3366:Vector autoregression (VAR)
2800:Maximum posterior estimator
2032:Randomized controlled trial
1227:The example here is of the
1155:
1106:{\displaystyle \sigma _{Y}}
10:
5199:
4970:Wrapped asymmetric Laplace
3941:Extended negative binomial
3200:Multivariate distributions
1620:Average absolute deviation
1396:Review of Economic Studies
1243:. The versions below with
750:continuous random variable
5132:
5066:
5024:
4925:
4761:
4739:
4730:
4629:Generalized extreme value
4614:
4449:
4409:Relativistic Breit–Wigner
4125:
4022:
4013:
3906:
3826:
3817:
3806:Probability distributions
3714:
3668:
3605:
3558:
3521:
3517:
3504:
3476:
3458:
3425:
3416:
3374:
3321:
3282:
3231:
3222:
3188:Structural equation model
3143:
3100:
3096:
3071:
3030:
2996:
2950:
2917:
2879:
2846:
2842:
2818:
2758:
2667:
2586:
2550:
2541:
2524:Score/Lagrange multiplier
2509:
2462:
2407:
2333:
2324:
2134:
2130:
2117:
2076:
2050:
2002:
1957:
1939:Sample size determination
1904:
1900:
1887:
1791:
1746:
1720:
1702:
1658:
1610:
1530:
1521:
1517:
1504:
1486:
1277:1/s * dt((x - m) / s, df)
1142:two-moment decision model
555:probability mass function
33:probability distributions
3683:Environmental statistics
3205:Elliptical distributions
2998:Generalized linear model
2927:Simple linear regression
2697:Hodges–Lehmann estimator
2154:Probability distribution
2063:Stochastic approximation
1625:Coefficient of variation
1367:American Economic Review
1204:Student's t-distribution
1174:Elliptical distributions
1079:{\displaystyle \mu _{Y}}
821:{\displaystyle Y{=}a+bX}
784:{\displaystyle f_{X}(x)}
643:{\displaystyle Y{=}a+bX}
551:discrete random variable
444:{\displaystyle Y{=}a+bX}
154:In other words, a class
4624:Generalized chi-squared
4568:Normal-inverse Gaussian
3343:Cross-correlation (XCF)
2951:Non-standard predictors
2385:Lehmann–Scheffé theorem
2058:Adaptive clinical trial
1308:qt_ls(prob, df, m, s) =
323:{\displaystyle \Omega }
167:{\displaystyle \Omega }
4936:Univariate (circular)
4497:Generalized hyperbolic
3926:Conway–Maxwell–Poisson
3916:Beta negative binomial
3739:Mathematics portal
3560:Engineering statistics
3468:Nelson–Aalen estimator
3045:Analysis of covariance
2932:Ordinary least squares
2856:Pearson product-moment
2260:Statistical functional
2171:Empirical distribution
2004:Controlled experiments
1733:Frequency distribution
1511:Descriptive statistics
1152:of the distributions.
1127:
1107:
1080:
1053:
991:
971:
951:
931:
907:
822:
785:
742:
719:
644:
607:
543:
520:
445:
408:
348:
324:
304:
251:
250:{\displaystyle b>0}
225:
197:
168:
141:
108:
60:
5173:Parametric statistics
4981:Bivariate (spherical)
4479:Kaniadakis κ-Gaussian
3655:Population statistics
3597:System identification
3331:Autocorrelation (ACF)
3259:Exponential smoothing
3173:Discriminant analysis
3168:Canonical correlation
3032:Partition of variance
2894:Regression validation
2738:(Jonckheere–Terpstra)
2637:Likelihood-ratio test
2326:Frequentist inference
2238:Location–scale family
2159:Sampling distribution
2124:Statistical inference
2091:Cross-sectional study
2078:Observational studies
2037:Randomized experiment
1866:Stem-and-leaf display
1668:Central limit theorem
1194:Logistic distribution
1128:
1108:
1081:
1054:
992:
972:
952:
932:
908:
823:
786:
743:
720:
645:
608:
544:
521:
446:
409:
349:
325:
305:
252:
226:
203:and any real numbers
198:
169:
149:equal in distribution
142:
109:
61:
29:location–scale family
5046:Dirac delta function
4993:Bivariate (toroidal)
4950:Univariate von Mises
4821:Multivariate Laplace
4713:Shifted log-logistic
4062:Continuous Bernoulli
3578:Probabilistic design
3163:Principal components
3006:Exponential families
2958:Nonlinear regression
2937:General linear model
2899:Mixed effects models
2889:Errors and residuals
2866:Confounding variable
2768:Bayesian probability
2746:Van der Waerden test
2736:Ordered alternative
2501:Multiple comparisons
2380:Rao–Blackwellization
2343:Estimating equations
2299:Statistical distance
2017:Factorial experiment
1550:Arithmetic-Geometric
1313:qt(prob, df) * s + m
1290:pt_ls(x, df, m, s) =
1272:dt_ls(x, df, m, s) =
1255:and scale parameter
1199:Laplace distribution
1117:
1090:
1063:
1001:
981:
961:
941:
921:
832:
795:
759:
732:
654:
617:
560:
533:
455:
418:
361:
338:
314:
310:is also a member of
261:
235:
207:
181:
158:
118:
70:
50:
5094:Natural exponential
4999:Bivariate von Mises
4965:Wrapped exponential
4831:Multivariate stable
4826:Multivariate normal
4147:Benktander 2nd kind
4142:Benktander 1st kind
3931:Discrete phase-type
3650:Official statistics
3573:Methods engineering
3254:Seasonal adjustment
3022:Poisson regressions
2942:Bayesian regression
2881:Regression analysis
2861:Partial correlation
2833:Regression analysis
2432:Prediction interval
2427:Likelihood interval
2417:Confidence interval
2409:Interval estimation
2370:Unbiased estimators
2188:Model specification
2068:Up-and-down designs
1756:Partial correlation
1712:Index of dispersion
1630:Interquartile range
1343:since the standard
1295:pt((x - m) / s, df)
1179:Cauchy distribution
1169:Normal distribution
39:and a non-negative
4749:Rectified Gaussian
4634:Generalized Pareto
4492:Generalized normal
4364:Matrix-exponential
3670:Spatial statistics
3550:Medical statistics
3450:First hitting time
3404:Whittle likelihood
3055:Degrees of freedom
3050:Multivariate ANOVA
2983:Heteroscedasticity
2795:Bayesian estimator
2760:Bayesian inference
2609:Kolmogorov–Smirnov
2494:Randomization test
2464:Testing hypotheses
2437:Tolerance interval
2348:Maximum likelihood
2243:Exponential family
2176:Density estimation
2136:Statistical theory
2096:Natural experiment
2042:Scientific control
1959:Survey methodology
1645:Standard deviation
1237:degrees of freedom
1123:
1103:
1076:
1049:
997:can be written as
987:
967:
947:
927:
903:
818:
781:
738:
715:
640:
603:
539:
516:
441:
404:
344:
320:
300:
247:
221:
193:
164:
137:
104:
56:
37:location parameter
35:parametrized by a
21:probability theory
5160:
5159:
4757:
4756:
4726:
4725:
4617:whose type varies
4563:Normal (Gaussian)
4517:Hyperbolic secant
4466:Exponential power
4369:Maxwell–Boltzmann
4117:Wigner semicircle
4009:
4008:
3981:Parabolic fractal
3971:Negative binomial
3772:
3771:
3710:
3709:
3706:
3705:
3645:National accounts
3615:Actuarial science
3607:Social statistics
3500:
3499:
3496:
3495:
3492:
3491:
3427:Survival function
3412:
3411:
3274:Granger causality
3115:Contingency table
3090:Survival analysis
3067:
3066:
3063:
3062:
2919:Linear regression
2814:
2813:
2810:
2809:
2785:Credible interval
2754:
2753:
2537:
2536:
2353:Method of moments
2222:Parametric family
2183:Statistical model
2113:
2112:
2109:
2108:
2027:Random assignment
1949:Statistical power
1883:
1882:
1879:
1878:
1728:Contingency table
1698:
1697:
1565:Generalized/power
1337:
1336:
1327:rt_ls(df, m, s) =
1302:Quantile function
1126:{\displaystyle Y}
1020:
990:{\displaystyle Y}
970:{\displaystyle X}
950:{\displaystyle Y}
930:{\displaystyle X}
897:
865:
741:{\displaystyle X}
709:
542:{\displaystyle X}
510:
347:{\displaystyle X}
134:
89:
59:{\displaystyle X}
5190:
5150:
5149:
5140:
5139:
5079:Compound Poisson
5054:
5042:
5011:von Mises–Fisher
5007:
4995:
4983:
4945:Circular uniform
4941:
4861:
4805:
4776:
4737:
4736:
4639:Marchenko–Pastur
4502:Geometric stable
4419:Truncated normal
4312:Inverse Gaussian
4218:Hyperexponential
4057:Beta rectangular
4025:bounded interval
4020:
4019:
3888:Discrete uniform
3873:Poisson binomial
3824:
3823:
3799:
3792:
3785:
3776:
3775:
3760:
3759:
3748:
3747:
3737:
3736:
3722:
3721:
3625:Crime statistics
3519:
3518:
3506:
3505:
3423:
3422:
3389:Fourier analysis
3376:Frequency domain
3356:
3303:
3269:Structural break
3229:
3228:
3178:Cluster analysis
3125:Log-linear model
3098:
3097:
3073:
3072:
3014:
2988:Homoscedasticity
2844:
2843:
2820:
2819:
2739:
2731:
2723:
2722:(Kruskal–Wallis)
2707:
2692:
2647:Cross validation
2632:
2614:Anderson–Darling
2561:
2548:
2547:
2519:Likelihood-ratio
2511:Parametric tests
2489:Permutation test
2472:1- & 2-tails
2363:Minimum distance
2335:Point estimation
2331:
2330:
2282:Optimal decision
2233:
2132:
2131:
2119:
2118:
2101:Quasi-experiment
2051:Adaptive designs
1902:
1901:
1889:
1888:
1766:Rank correlation
1528:
1527:
1519:
1518:
1506:
1505:
1473:
1466:
1459:
1450:
1449:
1431:
1430:
1419:
1413:
1412:
1390:
1384:
1383:
1361:
1342:
1333:
1328:
1314:
1309:
1296:
1291:
1278:
1273:
1262:
1261:
1258:
1254:
1246:
1242:
1132:
1130:
1129:
1124:
1112:
1110:
1109:
1104:
1102:
1101:
1085:
1083:
1082:
1077:
1075:
1074:
1058:
1056:
1055:
1050:
1045:
1044:
1032:
1031:
1022:
1021:
1019:
1014:
1009:
996:
994:
993:
988:
976:
974:
973:
968:
956:
954:
953:
948:
936:
934:
933:
928:
912:
910:
909:
904:
902:
898:
893:
882:
876:
875:
866:
858:
844:
843:
827:
825:
824:
819:
805:
790:
788:
787:
782:
771:
770:
747:
745:
744:
739:
724:
722:
721:
716:
714:
710:
705:
694:
688:
687:
666:
665:
649:
647:
646:
641:
627:
612:
610:
609:
604:
572:
571:
548:
546:
545:
540:
525:
523:
522:
517:
515:
511:
506:
495:
489:
488:
467:
466:
450:
448:
447:
442:
428:
413:
411:
410:
405:
373:
372:
353:
351:
350:
345:
329:
327:
326:
321:
309:
307:
306:
301:
256:
254:
253:
248:
230:
228:
227:
222:
220:
202:
200:
199:
194:
173:
171:
170:
165:
146:
144:
143:
138:
136:
135:
133:
128:
123:
113:
111:
110:
105:
91:
90:
88:
83:
78:
65:
63:
62:
57:
5198:
5197:
5193:
5192:
5191:
5189:
5188:
5187:
5163:
5162:
5161:
5156:
5128:
5104:Maximum entropy
5062:
5050:
5038:
5028:
5020:
5003:
4991:
4979:
4934:
4921:
4858:Matrix-valued:
4855:
4801:
4772:
4764:
4753:
4741:
4732:
4722:
4616:
4610:
4527:
4453:
4451:
4445:
4374:Maxwell–Jüttner
4223:Hypoexponential
4129:
4127:
4126:supported on a
4121:
4082:Noncentral beta
4042:Balding–Nichols
4024:
4023:supported on a
4015:
4005:
3908:
3902:
3898:Zipf–Mandelbrot
3828:
3819:
3813:
3803:
3773:
3768:
3731:
3702:
3664:
3601:
3587:quality control
3554:
3536:Clinical trials
3513:
3488:
3472:
3460:Hazard function
3454:
3408:
3370:
3354:
3317:
3313:Breusch–Godfrey
3301:
3278:
3218:
3193:Factor analysis
3139:
3120:Graphical model
3092:
3059:
3026:
3012:
2992:
2946:
2913:
2875:
2838:
2837:
2806:
2750:
2737:
2729:
2721:
2705:
2690:
2669:Rank statistics
2663:
2642:Model selection
2630:
2588:Goodness of fit
2582:
2559:
2533:
2505:
2458:
2403:
2392:Median unbiased
2320:
2231:
2164:Order statistic
2126:
2105:
2072:
2046:
1998:
1953:
1896:
1894:Data collection
1875:
1787:
1742:
1716:
1694:
1654:
1606:
1523:Continuous data
1513:
1500:
1482:
1477:
1440:
1435:
1434:
1420:
1416:
1391:
1387:
1362:
1358:
1353:
1340:
1331:
1326:
1312:
1307:
1304:(inverse CDF):
1294:
1289:
1276:
1271:
1256:
1252:
1244:
1240:
1217:
1158:
1138:decision theory
1118:
1115:
1114:
1097:
1093:
1091:
1088:
1087:
1070:
1066:
1064:
1061:
1060:
1040:
1036:
1027:
1023:
1015:
1010:
1008:
1007:
1002:
999:
998:
982:
979:
978:
962:
959:
958:
942:
939:
938:
922:
919:
918:
883:
881:
877:
871:
867:
857:
839:
835:
833:
830:
829:
801:
796:
793:
792:
766:
762:
760:
757:
756:
733:
730:
729:
695:
693:
689:
683:
679:
661:
657:
655:
652:
651:
623:
618:
615:
614:
567:
563:
561:
558:
557:
534:
531:
530:
496:
494:
490:
484:
480:
462:
458:
456:
453:
452:
424:
419:
416:
415:
368:
364:
362:
359:
358:
339:
336:
335:
315:
312:
311:
262:
259:
258:
236:
233:
232:
216:
208:
205:
204:
182:
179:
178:
159:
156:
155:
129:
124:
122:
121:
119:
116:
115:
84:
79:
77:
76:
71:
68:
67:
51:
48:
47:
45:random variable
41:scale parameter
31:is a family of
17:
12:
11:
5:
5196:
5186:
5185:
5180:
5175:
5158:
5157:
5155:
5154:
5144:
5133:
5130:
5129:
5127:
5126:
5121:
5116:
5111:
5106:
5101:
5099:Location–scale
5096:
5091:
5086:
5081:
5076:
5070:
5068:
5064:
5063:
5061:
5060:
5055:
5048:
5043:
5035:
5033:
5022:
5021:
5019:
5018:
5013:
5008:
5001:
4996:
4989:
4984:
4977:
4972:
4967:
4962:
4960:Wrapped Cauchy
4957:
4955:Wrapped normal
4952:
4947:
4942:
4931:
4929:
4923:
4922:
4920:
4919:
4918:
4917:
4912:
4910:Normal-inverse
4907:
4902:
4892:
4891:
4890:
4880:
4872:
4867:
4862:
4853:
4852:
4851:
4841:
4833:
4828:
4823:
4818:
4817:
4816:
4806:
4799:
4798:
4797:
4792:
4782:
4777:
4769:
4767:
4759:
4758:
4755:
4754:
4752:
4751:
4745:
4743:
4734:
4728:
4727:
4724:
4723:
4721:
4720:
4715:
4710:
4702:
4694:
4686:
4677:
4668:
4659:
4650:
4641:
4636:
4631:
4626:
4620:
4618:
4612:
4611:
4609:
4608:
4603:
4601:Variance-gamma
4598:
4593:
4585:
4580:
4575:
4570:
4565:
4560:
4552:
4547:
4546:
4545:
4535:
4530:
4525:
4519:
4514:
4509:
4504:
4499:
4494:
4489:
4481:
4476:
4468:
4463:
4457:
4455:
4447:
4446:
4444:
4443:
4441:Wilks's lambda
4438:
4437:
4436:
4426:
4421:
4416:
4411:
4406:
4401:
4396:
4391:
4386:
4381:
4379:Mittag-Leffler
4376:
4371:
4366:
4361:
4356:
4351:
4346:
4341:
4336:
4331:
4326:
4321:
4320:
4319:
4309:
4300:
4295:
4290:
4289:
4288:
4278:
4276:gamma/Gompertz
4273:
4272:
4271:
4266:
4256:
4251:
4246:
4245:
4244:
4232:
4231:
4230:
4225:
4220:
4210:
4209:
4208:
4198:
4193:
4188:
4187:
4186:
4185:
4184:
4174:
4164:
4159:
4154:
4149:
4144:
4139:
4133:
4131:
4128:semi-infinite
4123:
4122:
4120:
4119:
4114:
4109:
4104:
4099:
4094:
4089:
4084:
4079:
4074:
4069:
4064:
4059:
4054:
4049:
4044:
4039:
4034:
4028:
4026:
4017:
4011:
4010:
4007:
4006:
4004:
4003:
3998:
3993:
3988:
3983:
3978:
3973:
3968:
3963:
3958:
3953:
3948:
3943:
3938:
3933:
3928:
3923:
3918:
3912:
3910:
3907:with infinite
3904:
3903:
3901:
3900:
3895:
3890:
3885:
3880:
3875:
3870:
3869:
3868:
3861:Hypergeometric
3858:
3853:
3848:
3843:
3838:
3832:
3830:
3821:
3815:
3814:
3802:
3801:
3794:
3787:
3779:
3770:
3769:
3767:
3766:
3754:
3742:
3728:
3715:
3712:
3711:
3708:
3707:
3704:
3703:
3701:
3700:
3695:
3690:
3685:
3680:
3674:
3672:
3666:
3665:
3663:
3662:
3657:
3652:
3647:
3642:
3637:
3632:
3627:
3622:
3617:
3611:
3609:
3603:
3602:
3600:
3599:
3594:
3589:
3580:
3575:
3570:
3564:
3562:
3556:
3555:
3553:
3552:
3547:
3542:
3533:
3531:Bioinformatics
3527:
3525:
3515:
3514:
3502:
3501:
3498:
3497:
3494:
3493:
3490:
3489:
3487:
3486:
3480:
3478:
3474:
3473:
3471:
3470:
3464:
3462:
3456:
3455:
3453:
3452:
3447:
3442:
3437:
3431:
3429:
3420:
3414:
3413:
3410:
3409:
3407:
3406:
3401:
3396:
3391:
3386:
3380:
3378:
3372:
3371:
3369:
3368:
3363:
3358:
3350:
3345:
3340:
3339:
3338:
3336:partial (PACF)
3327:
3325:
3319:
3318:
3316:
3315:
3310:
3305:
3297:
3292:
3286:
3284:
3283:Specific tests
3280:
3279:
3277:
3276:
3271:
3266:
3261:
3256:
3251:
3246:
3241:
3235:
3233:
3226:
3220:
3219:
3217:
3216:
3215:
3214:
3213:
3212:
3197:
3196:
3195:
3185:
3183:Classification
3180:
3175:
3170:
3165:
3160:
3155:
3149:
3147:
3141:
3140:
3138:
3137:
3132:
3130:McNemar's test
3127:
3122:
3117:
3112:
3106:
3104:
3094:
3093:
3069:
3068:
3065:
3064:
3061:
3060:
3058:
3057:
3052:
3047:
3042:
3036:
3034:
3028:
3027:
3025:
3024:
3008:
3002:
3000:
2994:
2993:
2991:
2990:
2985:
2980:
2975:
2970:
2968:Semiparametric
2965:
2960:
2954:
2952:
2948:
2947:
2945:
2944:
2939:
2934:
2929:
2923:
2921:
2915:
2914:
2912:
2911:
2906:
2901:
2896:
2891:
2885:
2883:
2877:
2876:
2874:
2873:
2868:
2863:
2858:
2852:
2850:
2840:
2839:
2836:
2835:
2830:
2824:
2816:
2815:
2812:
2811:
2808:
2807:
2805:
2804:
2803:
2802:
2792:
2787:
2782:
2781:
2780:
2775:
2764:
2762:
2756:
2755:
2752:
2751:
2749:
2748:
2743:
2742:
2741:
2733:
2725:
2709:
2706:(Mann–Whitney)
2701:
2700:
2699:
2686:
2685:
2684:
2673:
2671:
2665:
2664:
2662:
2661:
2660:
2659:
2654:
2649:
2639:
2634:
2631:(Shapiro–Wilk)
2626:
2621:
2616:
2611:
2606:
2598:
2592:
2590:
2584:
2583:
2581:
2580:
2572:
2563:
2551:
2545:
2543:Specific tests
2539:
2538:
2535:
2534:
2532:
2531:
2526:
2521:
2515:
2513:
2507:
2506:
2504:
2503:
2498:
2497:
2496:
2486:
2485:
2484:
2474:
2468:
2466:
2460:
2459:
2457:
2456:
2455:
2454:
2449:
2439:
2434:
2429:
2424:
2419:
2413:
2411:
2405:
2404:
2402:
2401:
2396:
2395:
2394:
2389:
2388:
2387:
2382:
2367:
2366:
2365:
2360:
2355:
2350:
2339:
2337:
2328:
2322:
2321:
2319:
2318:
2313:
2308:
2307:
2306:
2296:
2291:
2290:
2289:
2279:
2278:
2277:
2272:
2267:
2257:
2252:
2247:
2246:
2245:
2240:
2235:
2219:
2218:
2217:
2212:
2207:
2197:
2196:
2195:
2190:
2180:
2179:
2178:
2168:
2167:
2166:
2156:
2151:
2146:
2140:
2138:
2128:
2127:
2115:
2114:
2111:
2110:
2107:
2106:
2104:
2103:
2098:
2093:
2088:
2082:
2080:
2074:
2073:
2071:
2070:
2065:
2060:
2054:
2052:
2048:
2047:
2045:
2044:
2039:
2034:
2029:
2024:
2019:
2014:
2008:
2006:
2000:
1999:
1997:
1996:
1994:Standard error
1991:
1986:
1981:
1980:
1979:
1974:
1963:
1961:
1955:
1954:
1952:
1951:
1946:
1941:
1936:
1931:
1926:
1924:Optimal design
1921:
1916:
1910:
1908:
1898:
1897:
1885:
1884:
1881:
1880:
1877:
1876:
1874:
1873:
1868:
1863:
1858:
1853:
1848:
1843:
1838:
1833:
1828:
1823:
1818:
1813:
1808:
1803:
1797:
1795:
1789:
1788:
1786:
1785:
1780:
1779:
1778:
1773:
1763:
1758:
1752:
1750:
1744:
1743:
1741:
1740:
1735:
1730:
1724:
1722:
1721:Summary tables
1718:
1717:
1715:
1714:
1708:
1706:
1700:
1699:
1696:
1695:
1693:
1692:
1691:
1690:
1685:
1680:
1670:
1664:
1662:
1656:
1655:
1653:
1652:
1647:
1642:
1637:
1632:
1627:
1622:
1616:
1614:
1608:
1607:
1605:
1604:
1599:
1594:
1593:
1592:
1587:
1582:
1577:
1572:
1567:
1562:
1557:
1555:Contraharmonic
1552:
1547:
1536:
1534:
1525:
1515:
1514:
1502:
1501:
1499:
1498:
1493:
1487:
1484:
1483:
1476:
1475:
1468:
1461:
1453:
1447:
1446:
1439:
1438:External links
1436:
1433:
1432:
1414:
1403:(1): 197–199.
1385:
1374:(3): 421–430.
1355:
1354:
1352:
1349:
1335:
1334:
1332:rt(df) * s + m
1329:
1324:
1321:random variate
1316:
1315:
1310:
1305:
1298:
1297:
1292:
1287:
1280:
1279:
1274:
1269:
1216:
1213:
1212:
1211:
1206:
1201:
1196:
1191:
1186:
1181:
1176:
1171:
1157:
1154:
1122:
1100:
1096:
1073:
1069:
1048:
1043:
1039:
1035:
1030:
1026:
1018:
1013:
1006:
986:
966:
946:
926:
915:
914:
901:
896:
892:
889:
886:
880:
874:
870:
864:
861:
856:
853:
850:
847:
842:
838:
817:
814:
811:
808:
804:
800:
780:
777:
774:
769:
765:
737:
726:
713:
708:
704:
701:
698:
692:
686:
682:
678:
675:
672:
669:
664:
660:
639:
636:
633:
630:
626:
622:
602:
599:
596:
593:
590:
587:
584:
581:
578:
575:
570:
566:
538:
527:
514:
509:
505:
502:
499:
493:
487:
483:
479:
476:
473:
470:
465:
461:
440:
437:
434:
431:
427:
423:
403:
400:
397:
394:
391:
388:
385:
382:
379:
376:
371:
367:
343:
319:
299:
296:
293:
290:
287:
284:
281:
278:
275:
272:
269:
266:
246:
243:
240:
219:
215:
212:
192:
189:
186:
163:
132:
127:
103:
100:
97:
94:
87:
82:
75:
55:
15:
9:
6:
4:
3:
2:
5195:
5184:
5181:
5179:
5176:
5174:
5171:
5170:
5168:
5153:
5145:
5143:
5135:
5134:
5131:
5125:
5122:
5120:
5117:
5115:
5112:
5110:
5107:
5105:
5102:
5100:
5097:
5095:
5092:
5090:
5087:
5085:
5082:
5080:
5077:
5075:
5072:
5071:
5069:
5065:
5059:
5056:
5053:
5049:
5047:
5044:
5041:
5037:
5036:
5034:
5032:
5027:
5023:
5017:
5014:
5012:
5009:
5006:
5002:
5000:
4997:
4994:
4990:
4988:
4985:
4982:
4978:
4976:
4973:
4971:
4968:
4966:
4963:
4961:
4958:
4956:
4953:
4951:
4948:
4946:
4943:
4940:
4939:
4933:
4932:
4930:
4928:
4924:
4916:
4913:
4911:
4908:
4906:
4903:
4901:
4898:
4897:
4896:
4893:
4889:
4886:
4885:
4884:
4881:
4879:
4878:
4873:
4871:
4870:Matrix normal
4868:
4866:
4863:
4860:
4859:
4854:
4850:
4847:
4846:
4845:
4842:
4840:
4839:
4836:Multivariate
4834:
4832:
4829:
4827:
4824:
4822:
4819:
4815:
4812:
4811:
4810:
4807:
4804:
4800:
4796:
4793:
4791:
4788:
4787:
4786:
4783:
4781:
4778:
4775:
4771:
4770:
4768:
4766:
4763:Multivariate
4760:
4750:
4747:
4746:
4744:
4738:
4735:
4729:
4719:
4716:
4714:
4711:
4709:
4707:
4703:
4701:
4699:
4695:
4693:
4691:
4687:
4685:
4683:
4678:
4676:
4674:
4669:
4667:
4665:
4660:
4658:
4656:
4651:
4649:
4647:
4642:
4640:
4637:
4635:
4632:
4630:
4627:
4625:
4622:
4621:
4619:
4615:with support
4613:
4607:
4604:
4602:
4599:
4597:
4594:
4592:
4591:
4586:
4584:
4581:
4579:
4576:
4574:
4571:
4569:
4566:
4564:
4561:
4559:
4558:
4553:
4551:
4548:
4544:
4541:
4540:
4539:
4536:
4534:
4531:
4529:
4528:
4520:
4518:
4515:
4513:
4510:
4508:
4505:
4503:
4500:
4498:
4495:
4493:
4490:
4488:
4487:
4482:
4480:
4477:
4475:
4474:
4469:
4467:
4464:
4462:
4459:
4458:
4456:
4452:on the whole
4448:
4442:
4439:
4435:
4432:
4431:
4430:
4427:
4425:
4424:type-2 Gumbel
4422:
4420:
4417:
4415:
4412:
4410:
4407:
4405:
4402:
4400:
4397:
4395:
4392:
4390:
4387:
4385:
4382:
4380:
4377:
4375:
4372:
4370:
4367:
4365:
4362:
4360:
4357:
4355:
4352:
4350:
4347:
4345:
4342:
4340:
4337:
4335:
4332:
4330:
4327:
4325:
4322:
4318:
4315:
4314:
4313:
4310:
4308:
4306:
4301:
4299:
4296:
4294:
4293:Half-logistic
4291:
4287:
4284:
4283:
4282:
4279:
4277:
4274:
4270:
4267:
4265:
4262:
4261:
4260:
4257:
4255:
4252:
4250:
4249:Folded normal
4247:
4243:
4240:
4239:
4238:
4237:
4233:
4229:
4226:
4224:
4221:
4219:
4216:
4215:
4214:
4211:
4207:
4204:
4203:
4202:
4199:
4197:
4194:
4192:
4189:
4183:
4180:
4179:
4178:
4175:
4173:
4170:
4169:
4168:
4165:
4163:
4160:
4158:
4155:
4153:
4150:
4148:
4145:
4143:
4140:
4138:
4135:
4134:
4132:
4124:
4118:
4115:
4113:
4110:
4108:
4105:
4103:
4100:
4098:
4095:
4093:
4092:Raised cosine
4090:
4088:
4085:
4083:
4080:
4078:
4075:
4073:
4070:
4068:
4065:
4063:
4060:
4058:
4055:
4053:
4050:
4048:
4045:
4043:
4040:
4038:
4035:
4033:
4030:
4029:
4027:
4021:
4018:
4012:
4002:
3999:
3997:
3994:
3992:
3989:
3987:
3984:
3982:
3979:
3977:
3974:
3972:
3969:
3967:
3966:Mixed Poisson
3964:
3962:
3959:
3957:
3954:
3952:
3949:
3947:
3944:
3942:
3939:
3937:
3934:
3932:
3929:
3927:
3924:
3922:
3919:
3917:
3914:
3913:
3911:
3905:
3899:
3896:
3894:
3891:
3889:
3886:
3884:
3881:
3879:
3876:
3874:
3871:
3867:
3864:
3863:
3862:
3859:
3857:
3854:
3852:
3849:
3847:
3846:Beta-binomial
3844:
3842:
3839:
3837:
3834:
3833:
3831:
3825:
3822:
3816:
3811:
3807:
3800:
3795:
3793:
3788:
3786:
3781:
3780:
3777:
3765:
3764:
3755:
3753:
3752:
3743:
3741:
3740:
3735:
3729:
3727:
3726:
3717:
3716:
3713:
3699:
3696:
3694:
3693:Geostatistics
3691:
3689:
3686:
3684:
3681:
3679:
3676:
3675:
3673:
3671:
3667:
3661:
3660:Psychometrics
3658:
3656:
3653:
3651:
3648:
3646:
3643:
3641:
3638:
3636:
3633:
3631:
3628:
3626:
3623:
3621:
3618:
3616:
3613:
3612:
3610:
3608:
3604:
3598:
3595:
3593:
3590:
3588:
3584:
3581:
3579:
3576:
3574:
3571:
3569:
3566:
3565:
3563:
3561:
3557:
3551:
3548:
3546:
3543:
3541:
3537:
3534:
3532:
3529:
3528:
3526:
3524:
3523:Biostatistics
3520:
3516:
3512:
3507:
3503:
3485:
3484:Log-rank test
3482:
3481:
3479:
3475:
3469:
3466:
3465:
3463:
3461:
3457:
3451:
3448:
3446:
3443:
3441:
3438:
3436:
3433:
3432:
3430:
3428:
3424:
3421:
3419:
3415:
3405:
3402:
3400:
3397:
3395:
3392:
3390:
3387:
3385:
3382:
3381:
3379:
3377:
3373:
3367:
3364:
3362:
3359:
3357:
3355:(Box–Jenkins)
3351:
3349:
3346:
3344:
3341:
3337:
3334:
3333:
3332:
3329:
3328:
3326:
3324:
3320:
3314:
3311:
3309:
3308:Durbin–Watson
3306:
3304:
3298:
3296:
3293:
3291:
3290:Dickey–Fuller
3288:
3287:
3285:
3281:
3275:
3272:
3270:
3267:
3265:
3264:Cointegration
3262:
3260:
3257:
3255:
3252:
3250:
3247:
3245:
3242:
3240:
3239:Decomposition
3237:
3236:
3234:
3230:
3227:
3225:
3221:
3211:
3208:
3207:
3206:
3203:
3202:
3201:
3198:
3194:
3191:
3190:
3189:
3186:
3184:
3181:
3179:
3176:
3174:
3171:
3169:
3166:
3164:
3161:
3159:
3156:
3154:
3151:
3150:
3148:
3146:
3142:
3136:
3133:
3131:
3128:
3126:
3123:
3121:
3118:
3116:
3113:
3111:
3110:Cohen's kappa
3108:
3107:
3105:
3103:
3099:
3095:
3091:
3087:
3083:
3079:
3074:
3070:
3056:
3053:
3051:
3048:
3046:
3043:
3041:
3038:
3037:
3035:
3033:
3029:
3023:
3019:
3015:
3009:
3007:
3004:
3003:
3001:
2999:
2995:
2989:
2986:
2984:
2981:
2979:
2976:
2974:
2971:
2969:
2966:
2964:
2963:Nonparametric
2961:
2959:
2956:
2955:
2953:
2949:
2943:
2940:
2938:
2935:
2933:
2930:
2928:
2925:
2924:
2922:
2920:
2916:
2910:
2907:
2905:
2902:
2900:
2897:
2895:
2892:
2890:
2887:
2886:
2884:
2882:
2878:
2872:
2869:
2867:
2864:
2862:
2859:
2857:
2854:
2853:
2851:
2849:
2845:
2841:
2834:
2831:
2829:
2826:
2825:
2821:
2817:
2801:
2798:
2797:
2796:
2793:
2791:
2788:
2786:
2783:
2779:
2776:
2774:
2771:
2770:
2769:
2766:
2765:
2763:
2761:
2757:
2747:
2744:
2740:
2734:
2732:
2726:
2724:
2718:
2717:
2716:
2713:
2712:Nonparametric
2710:
2708:
2702:
2698:
2695:
2694:
2693:
2687:
2683:
2682:Sample median
2680:
2679:
2678:
2675:
2674:
2672:
2670:
2666:
2658:
2655:
2653:
2650:
2648:
2645:
2644:
2643:
2640:
2638:
2635:
2633:
2627:
2625:
2622:
2620:
2617:
2615:
2612:
2610:
2607:
2605:
2603:
2599:
2597:
2594:
2593:
2591:
2589:
2585:
2579:
2577:
2573:
2571:
2569:
2564:
2562:
2557:
2553:
2552:
2549:
2546:
2544:
2540:
2530:
2527:
2525:
2522:
2520:
2517:
2516:
2514:
2512:
2508:
2502:
2499:
2495:
2492:
2491:
2490:
2487:
2483:
2480:
2479:
2478:
2475:
2473:
2470:
2469:
2467:
2465:
2461:
2453:
2450:
2448:
2445:
2444:
2443:
2440:
2438:
2435:
2433:
2430:
2428:
2425:
2423:
2420:
2418:
2415:
2414:
2412:
2410:
2406:
2400:
2397:
2393:
2390:
2386:
2383:
2381:
2378:
2377:
2376:
2373:
2372:
2371:
2368:
2364:
2361:
2359:
2356:
2354:
2351:
2349:
2346:
2345:
2344:
2341:
2340:
2338:
2336:
2332:
2329:
2327:
2323:
2317:
2314:
2312:
2309:
2305:
2302:
2301:
2300:
2297:
2295:
2292:
2288:
2287:loss function
2285:
2284:
2283:
2280:
2276:
2273:
2271:
2268:
2266:
2263:
2262:
2261:
2258:
2256:
2253:
2251:
2248:
2244:
2241:
2239:
2236:
2234:
2228:
2225:
2224:
2223:
2220:
2216:
2213:
2211:
2208:
2206:
2203:
2202:
2201:
2198:
2194:
2191:
2189:
2186:
2185:
2184:
2181:
2177:
2174:
2173:
2172:
2169:
2165:
2162:
2161:
2160:
2157:
2155:
2152:
2150:
2147:
2145:
2142:
2141:
2139:
2137:
2133:
2129:
2125:
2120:
2116:
2102:
2099:
2097:
2094:
2092:
2089:
2087:
2084:
2083:
2081:
2079:
2075:
2069:
2066:
2064:
2061:
2059:
2056:
2055:
2053:
2049:
2043:
2040:
2038:
2035:
2033:
2030:
2028:
2025:
2023:
2020:
2018:
2015:
2013:
2010:
2009:
2007:
2005:
2001:
1995:
1992:
1990:
1989:Questionnaire
1987:
1985:
1982:
1978:
1975:
1973:
1970:
1969:
1968:
1965:
1964:
1962:
1960:
1956:
1950:
1947:
1945:
1942:
1940:
1937:
1935:
1932:
1930:
1927:
1925:
1922:
1920:
1917:
1915:
1912:
1911:
1909:
1907:
1903:
1899:
1895:
1890:
1886:
1872:
1869:
1867:
1864:
1862:
1859:
1857:
1854:
1852:
1849:
1847:
1844:
1842:
1839:
1837:
1834:
1832:
1829:
1827:
1824:
1822:
1819:
1817:
1816:Control chart
1814:
1812:
1809:
1807:
1804:
1802:
1799:
1798:
1796:
1794:
1790:
1784:
1781:
1777:
1774:
1772:
1769:
1768:
1767:
1764:
1762:
1759:
1757:
1754:
1753:
1751:
1749:
1745:
1739:
1736:
1734:
1731:
1729:
1726:
1725:
1723:
1719:
1713:
1710:
1709:
1707:
1705:
1701:
1689:
1686:
1684:
1681:
1679:
1676:
1675:
1674:
1671:
1669:
1666:
1665:
1663:
1661:
1657:
1651:
1648:
1646:
1643:
1641:
1638:
1636:
1633:
1631:
1628:
1626:
1623:
1621:
1618:
1617:
1615:
1613:
1609:
1603:
1600:
1598:
1595:
1591:
1588:
1586:
1583:
1581:
1578:
1576:
1573:
1571:
1568:
1566:
1563:
1561:
1558:
1556:
1553:
1551:
1548:
1546:
1543:
1542:
1541:
1538:
1537:
1535:
1533:
1529:
1526:
1524:
1520:
1516:
1512:
1507:
1503:
1497:
1494:
1492:
1489:
1488:
1485:
1481:
1474:
1469:
1467:
1462:
1460:
1455:
1454:
1451:
1445:
1442:
1441:
1428:
1424:
1418:
1410:
1406:
1402:
1398:
1397:
1389:
1381:
1377:
1373:
1369:
1368:
1360:
1356:
1348:
1346:
1330:
1325:
1322:
1318:
1317:
1311:
1306:
1303:
1300:
1299:
1293:
1288:
1285:
1282:
1281:
1275:
1270:
1267:
1264:
1263:
1260:
1250:
1238:
1234:
1233:-distribution
1232:
1225:
1223:
1210:
1207:
1205:
1202:
1200:
1197:
1195:
1192:
1190:
1187:
1185:
1182:
1180:
1177:
1175:
1172:
1170:
1167:
1166:
1165:
1163:
1153:
1151:
1147:
1143:
1139:
1134:
1120:
1098:
1094:
1071:
1067:
1046:
1041:
1037:
1033:
1028:
1024:
1016:
1011:
1004:
984:
964:
944:
924:
917:Moreover, if
899:
894:
890:
887:
884:
878:
872:
868:
862:
859:
854:
848:
840:
836:
815:
812:
809:
806:
802:
798:
775:
767:
763:
755:
751:
735:
727:
711:
706:
702:
699:
696:
690:
684:
680:
676:
670:
662:
658:
637:
634:
631:
628:
624:
620:
597:
594:
591:
585:
582:
576:
568:
564:
556:
552:
536:
528:
512:
507:
503:
500:
497:
491:
485:
481:
477:
471:
463:
459:
438:
435:
432:
429:
425:
421:
398:
395:
392:
386:
383:
377:
369:
365:
357:
341:
333:
332:
331:
294:
291:
288:
285:
279:
276:
270:
264:
244:
241:
238:
213:
210:
187:
184:
177:
152:
150:
130:
125:
101:
98:
95:
92:
85:
80:
73:
53:
46:
42:
38:
34:
30:
26:
22:
5098:
5051:
5039:
5005:Multivariate
5004:
4992:
4980:
4975:Wrapped Lévy
4935:
4883:Matrix gamma
4876:
4856:
4844:Normal-gamma
4837:
4803:Continuous:
4802:
4773:
4718:Tukey lambda
4705:
4697:
4692:-exponential
4689:
4681:
4672:
4663:
4654:
4648:-exponential
4645:
4589:
4556:
4523:
4485:
4472:
4399:Poly-Weibull
4344:Log-logistic
4304:
4303:Hotelling's
4235:
4077:Logit-normal
3951:Gauss–Kuzmin
3946:Flory–Schulz
3827:with finite
3761:
3749:
3730:
3723:
3635:Econometrics
3585: /
3568:Chemometrics
3545:Epidemiology
3538: /
3511:Applications
3353:ARIMA model
3300:Q-statistic
3249:Stationarity
3145:Multivariate
3088: /
3084: /
3082:Multivariate
3080: /
3020: /
3016: /
2790:Bayes factor
2689:Signed rank
2601:
2575:
2567:
2555:
2250:Completeness
2237:
2086:Cohort study
1984:Opinion poll
1919:Missing data
1906:Study design
1861:Scatter plot
1783:Scatter plot
1776:Spearman's ρ
1738:Grouped data
1426:
1417:
1400:
1394:
1388:
1371:
1365:
1359:
1344:
1338:
1230:
1226:
1218:
1159:
1135:
916:
153:
28:
18:
5089:Exponential
4938:directional
4927:Directional
4814:Generalized
4785:Multinomial
4740:continuous-
4680:Kaniadakis
4671:Kaniadakis
4662:Kaniadakis
4653:Kaniadakis
4644:Kaniadakis
4596:Tracy–Widom
4573:Skew normal
4555:Noncentral
4339:Log-Laplace
4317:Generalized
4298:Half-normal
4264:Generalized
4228:Logarithmic
4213:Exponential
4167:Chi-squared
4107:U-quadratic
4072:Kumaraswamy
4014:Continuous
3961:Logarithmic
3856:Categorical
3763:WikiProject
3678:Cartography
3640:Jurimetrics
3592:Reliability
3323:Time domain
3302:(Ljung–Box)
3224:Time-series
3102:Categorical
3086:Time-series
3078:Categorical
3013:(Bernoulli)
2848:Correlation
2828:Correlation
2624:Jarque–Bera
2596:Chi-squared
2358:M-estimator
2311:Asymptotics
2255:Sufficiency
2022:Interaction
1934:Replication
1914:Effect size
1871:Violin plot
1851:Radar chart
1831:Forest plot
1821:Correlogram
1771:Kendall's τ
1423:Sinn, H.-W.
1319:Generate a
5167:Categories
5084:Elliptical
5040:Degenerate
5026:Degenerate
4774:Discrete:
4733:univariate
4588:Student's
4543:Asymmetric
4522:Johnson's
4450:supported
4394:Phase-type
4349:Log-normal
4334:Log-Cauchy
4324:Kolmogorov
4242:Noncentral
4172:Noncentral
4152:Beta prime
4102:Triangular
4097:Reciprocal
4067:Irwin–Hall
4016:univariate
3996:Yule–Simon
3878:Rademacher
3820:univariate
3630:Demography
3348:ARMA model
3153:Regression
2730:(Friedman)
2691:(Wilcoxon)
2629:Normality
2619:Lilliefors
2566:Student's
2442:Resampling
2316:Robustness
2304:divergence
2294:Efficiency
2232:(monotone)
2227:Likelihood
2144:Population
1977:Stratified
1929:Population
1748:Dependence
1704:Count data
1635:Percentile
1612:Dispersion
1545:Arithmetic
1480:Statistics
1351:References
1239:parameter
1229:Student's
1162:univariate
43:. For any
25:statistics
4809:Dirichlet
4790:Dirichlet
4700:-Gaussian
4675:-Logistic
4512:Holtsmark
4484:Gaussian
4471:Fisher's
4454:real line
3956:Geometric
3936:Delaporte
3841:Bernoulli
3818:Discrete
3011:Logistic
2778:posterior
2704:Rank sum
2452:Jackknife
2447:Bootstrap
2265:Bootstrap
2200:Parameter
2149:Statistic
1944:Statistic
1856:Run chart
1841:Pie chart
1836:Histogram
1826:Fan chart
1801:Bar chart
1683:L-moments
1570:Geometric
1150:variances
1095:σ
1068:μ
1038:σ
1025:μ
888:−
700:−
501:−
396:≤
318:Ω
214:∈
191:Ω
188:∈
162:Ω
5142:Category
5074:Circular
5067:Families
5052:Singular
5031:singular
4795:Negative
4742:discrete
4708:-Weibull
4666:-Weibull
4550:Logistic
4434:Discrete
4404:Rayleigh
4384:Nakagami
4307:-squared
4281:Gompertz
4130:interval
3866:Negative
3851:Binomial
3725:Category
3418:Survival
3295:Johansen
3018:Binomial
2973:Isotonic
2560:(normal)
2205:location
2012:Blocking
1967:Sampling
1846:Q–Q plot
1811:Box plot
1793:Graphics
1688:Skewness
1678:Kurtosis
1650:Variance
1580:Heronian
1575:Harmonic
1425:(1983).
1156:Examples
1148:and the
1059:, where
5152:Commons
5124:Wrapped
5119:Tweedie
5114:Pearson
5109:Mixture
5016:Bingham
4915:Complex
4905:Inverse
4895:Wishart
4888:Inverse
4875:Matrix
4849:Inverse
4765:(joint)
4684:-Erlang
4538:Laplace
4429:Weibull
4286:Shifted
4269:Inverse
4254:Fréchet
4177:Inverse
4112:Uniform
4032:Arcsine
3991:Skellam
3986:Poisson
3909:support
3883:Soliton
3836:Benford
3829:support
3751:Commons
3698:Kriging
3583:Process
3540:studies
3399:Wavelet
3232:General
2399:Plug-in
2193:L space
1972:Cluster
1673:Moments
1491:Outline
1409:2297094
1380:1804104
1286:(CDF):
1268:(PDF):
791:, then
613:, then
414:, then
147:means "
5058:Cantor
4900:Normal
4731:Mixed
4657:-Gamma
4583:Stable
4533:Landau
4507:Gumbel
4461:Cauchy
4389:Pareto
4201:Erlang
4182:Scaled
4137:Benini
3976:Panjer
3620:Census
3210:Normal
3158:Manova
2978:Robust
2728:2-way
2720:1-way
2558:-test
2229:
1806:Biplot
1597:Median
1590:Lehmer
1532:Center
1407:
1378:
354:has a
4780:Ewens
4606:Voigt
4578:Slash
4359:Lomax
4354:Log-t
4259:Gamma
4206:Hyper
4196:Davis
4191:Dagum
4047:Bates
4037:ARGUS
3921:Borel
3244:Trend
2773:prior
2715:anova
2604:-test
2578:-test
2570:-test
2477:Power
2422:Pivot
2215:shape
2210:scale
1660:Shape
1640:Range
1585:Heinz
1560:Cubic
1496:Index
1405:JSTOR
1376:JSTOR
1146:means
752:with
748:is a
553:with
549:is a
5029:and
4987:Kent
4414:Rice
4329:Lévy
4157:Burr
4087:PERT
4052:Beta
4001:Zeta
3893:Zipf
3810:list
3477:Test
2677:Sign
2529:Wald
1602:Mode
1540:Mean
1086:and
937:and
242:>
231:and
27:, a
4865:LKJ
4162:Chi
2657:BIC
2652:AIC
1245:_ls
1136:In
728:If
529:If
334:If
19:In
5169::
1401:45
1399:.
1372:77
1370:.
1323::
1259:.
1241:df
1133:.
330:.
4877:t
4838:t
4706:q
4698:q
4690:q
4682:κ
4673:κ
4664:κ
4655:κ
4646:κ
4590:t
4557:t
4526:U
4524:S
4486:q
4473:z
4305:T
4236:F
3812:)
3808:(
3798:e
3791:t
3784:v
2602:G
2576:F
2568:t
2556:Z
2275:V
2270:U
1472:e
1465:t
1458:v
1411:.
1382:.
1345:t
1341:s
1257:s
1253:m
1231:t
1222:R
1121:Y
1099:Y
1072:Y
1047:X
1042:Y
1034:+
1029:Y
1017:d
1012:=
1005:Y
985:Y
965:X
945:Y
925:X
913:.
900:)
895:b
891:a
885:y
879:(
873:X
869:f
863:b
860:1
855:=
852:)
849:y
846:(
841:Y
837:f
816:X
813:b
810:+
807:a
803:=
799:Y
779:)
776:x
773:(
768:X
764:f
736:X
725:.
712:)
707:b
703:a
697:y
691:(
685:X
681:p
677:=
674:)
671:y
668:(
663:Y
659:p
638:X
635:b
632:+
629:a
625:=
621:Y
601:)
598:x
595:=
592:X
589:(
586:P
583:=
580:)
577:x
574:(
569:X
565:p
537:X
526:.
513:)
508:b
504:a
498:y
492:(
486:X
482:F
478:=
475:)
472:y
469:(
464:Y
460:F
439:X
436:b
433:+
430:a
426:=
422:Y
402:)
399:x
393:X
390:(
387:P
384:=
381:)
378:x
375:(
370:X
366:F
342:X
298:)
295:x
292:b
289:+
286:a
283:(
280:F
277:=
274:)
271:x
268:(
265:G
245:0
239:b
218:R
211:a
185:F
131:d
126:=
102:X
99:b
96:+
93:a
86:d
81:=
74:Y
54:X
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