Knowledge

Shape parameter

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of a distribution rather than simply shifting it (as a location parameter does) or stretching/shrinking it (as a scale parameter does). For example, "peakedness" refers to how round the main peak is.
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have a shape parameter, so their shape is fixed and only their location or their scale or both can change. It follows that (where they exist) the
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measure location or scale; however, estimators for shape parameters also exist. Most simply, they can be estimated in terms of the higher
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of these distribution are constants, as skewness and kurtosis are independent of location and scale parameters.
2398: 1610: 1417: 1306: 1264: 283: 161: 97: 1338: 2641: 1600: 503: 196: 116:(non-linear functions of the data), as in the higher moments, but linear estimators also exist, such as the 2192: 2141: 2126: 2116: 1985: 1857: 1824: 1650: 1605: 1435: 68: 2704: 2536: 2337: 2261: 1562: 1316: 985: 449: 2421: 2393: 2388: 2136: 1895: 1801: 1781: 1689: 1400: 1218: 701: 573: 273: 191: 2153: 1921: 1642: 1567: 1496: 1425: 1345: 1333: 1203: 1191: 1184: 892: 613: 226: 181: 2636: 2403: 2266: 1951: 1916: 1880: 1665: 1107: 1016: 975: 887: 578: 417: 253: 211: 40: 2545: 2158: 2098: 2035: 1673: 1657: 1395: 1257: 1247: 1097: 1011: 156: 113: 166: 2583: 2513: 2306: 2243: 1998: 1885: 882: 779: 686: 565: 464: 221: 216: 112:(4th moment), if the higher moments are defined and finite. Estimators of shape often involve 2608: 2550: 2493: 2319: 2212: 2121: 1847: 1731: 1590: 1582: 1472: 1464: 1279: 1175: 1153: 1112: 1077: 1044: 990: 965: 920: 859: 819: 621: 444: 263: 2531: 2106: 2055: 2031: 1993: 1911: 1890: 1842: 1721: 1699: 1668: 1577: 1454: 1405: 1323: 1296: 1252: 1208: 970: 746: 626: 231: 206: 93: 8: 2678: 2603: 2526: 2207: 1971: 1964: 1926: 1834: 1814: 1786: 1519: 1385: 1380: 1370: 1362: 1180: 1141: 1031: 1021: 930: 709: 665: 583: 508: 410: 326:"On the Moments, Cumulants, and Characteristic Function of the Log-Logistic Distribution" 268: 258: 201: 151: 36: 2692: 2503: 2357: 2253: 2202: 2078: 1975: 1959: 1936: 1713: 1447: 1430: 1390: 1301: 1196: 1158: 1129: 1089: 1049: 995: 912: 598: 593: 305: 186: 171: 146: 121: 44: 20: 2687: 2598: 2568: 2560: 2380: 2371: 2296: 2227: 2083: 2068: 2043: 1931: 1872: 1738: 1726: 1352: 1269: 1213: 1136: 980: 902: 681: 555: 389: 350: 141: 136: 2623: 2578: 2342: 2329: 2222: 2197: 2131: 2063: 1941: 1549: 1442: 1375: 1288: 1235: 1054: 925: 719: 603: 518: 485: 379: 57: 2540: 2284: 2146: 2073: 1748: 1622: 1595: 1572: 1541: 1163: 1117: 847: 498: 48: 2030: 2489: 2484: 947: 877: 523: 72: 52: 16:
Kind of numerical parameter of a parametric family of probability distributions
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The following continuous probability distributions have a shape parameter:
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Everitt B.S. (2002) Cambridge Dictionary of Statistics. 2nd Edition. CUP.
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Ekawati, Dian; Warsono; Kurniasari, Dian (December 2014).
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By contrast, the following continuous distributions do
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Autoregressive conditional heteroskedasticity (ARCH)
1777: 378:(1). Institute of Mathematical Statistics: 76–81. 2730: 368:"On Random Variables with Comparable Peakedness" 1863:Multivariate adaptive regression splines (MARS) 418: 463: 425: 411: 1076: 383: 365: 63: 2731: 2389:Kaplan–Meier estimator (product limit) 333:The Journal for Technology and Science 177:Generalized extreme value distribution 2462: 2029: 1776: 1075: 845: 462: 406: 372:The Annals of Mathematical Statistics 2699: 2399:Accelerated failure time (AFT) model 55:). Such a parameter must affect the 51:(nor a function of these, such as a 2711: 1994:Analysis of variance (ANOVA, anova) 846: 13: 2089:Cochran–Mantel–Haenszel statistics 715:Pearson product-moment correlation 14: 2750: 2710: 2698: 2686: 2673: 2672: 2463: 71:for selected distributions with 2348:Least-squares spectral analysis 1329:Mean-unbiased minimum-variance 432: 343: 317: 284:Wigner semicircle distribution 162:Exponential power distribution 1: 2642:Geographic information system 1858:Simultaneous equations models 311: 197:Inverse Gaussian distribution 124:estimation can also be used. 83: 69:Probability density functions 1825:Coefficient of determination 1436:Uniformly most powerful test 7: 2394:Proportional hazards models 2338:Spectral density estimation 2320:Vector autoregression (VAR) 1754:Maximum posterior estimator 986:Randomized controlled trial 289: 127: 10: 2755: 2154:Multivariate distributions 574:Average absolute deviation 274:Raised cosine distribution 192:Inverse-gamma distribution 39:of a parametric family of 2668: 2622: 2559: 2512: 2475: 2471: 2458: 2430: 2412: 2379: 2370: 2328: 2275: 2236: 2185: 2176: 2142:Structural equation model 2097: 2054: 2050: 2025: 1984: 1950: 1904: 1871: 1833: 1800: 1796: 1772: 1712: 1621: 1540: 1504: 1495: 1478:Score/Lagrange multiplier 1463: 1416: 1361: 1287: 1278: 1088: 1084: 1071: 1030: 1004: 956: 911: 893:Sample size determination 858: 854: 841: 745: 700: 674: 656: 612: 564: 484: 475: 471: 458: 440: 227:Tukey lambda distribution 182:Log-logistic distribution 41:probability distributions 2637:Environmental statistics 2159:Elliptical distributions 1952:Generalized linear model 1881:Simple linear regression 1651:Hodges–Lehmann estimator 1108:Probability distribution 1017:Stochastic approximation 579:Coefficient of variation 366:Birnbaum, Z. W. (1948). 254:Exponential distribution 222:Student's t-distribution 212:Skew normal distribution 2297:Cross-correlation (XCF) 1905:Non-standard predictors 1339:Lehmann–ScheffĂ© theorem 1012:Adaptive clinical trial 385:10.1214/aoms/1177730293 157:ExGaussian distribution 114:higher-order statistics 2739:Statistical parameters 2693:Mathematics portal 2514:Engineering statistics 2422:Nelson–Aalen estimator 1999:Analysis of covariance 1886:Ordinary least squares 1810:Pearson product-moment 1214:Statistical functional 1125:Empirical distribution 958:Controlled experiments 687:Frequency distribution 465:Descriptive statistics 217:Lognormal distribution 80: 2609:Population statistics 2551:System identification 2285:Autocorrelation (ACF) 2213:Exponential smoothing 2127:Discriminant analysis 2122:Canonical correlation 1986:Partition of variance 1848:Regression validation 1692:(Jonckheere–Terpstra) 1591:Likelihood-ratio test 1280:Frequentist inference 1192:Location–scale family 1113:Sampling distribution 1078:Statistical inference 1045:Cross-sectional study 1032:Observational studies 991:Randomized experiment 820:Stem-and-leaf display 622:Central limit theorem 264:Logistic distribution 67: 2532:Probabilistic design 2117:Principal components 1960:Exponential families 1912:Nonlinear regression 1891:General linear model 1853:Mixed effects models 1843:Errors and residuals 1820:Confounding variable 1722:Bayesian probability 1700:Van der Waerden test 1690:Ordered alternative 1455:Multiple comparisons 1334:Rao–Blackwellization 1297:Estimating equations 1253:Statistical distance 971:Factorial experiment 504:Arithmetic-Geometric 279:Uniform distribution 232:Weibull distribution 207:Pearson distribution 167:FrĂ©chet distribution 2604:Official statistics 2527:Methods engineering 2208:Seasonal adjustment 1976:Poisson regressions 1896:Bayesian regression 1835:Regression analysis 1815:Partial correlation 1787:Regression analysis 1386:Prediction interval 1381:Likelihood interval 1371:Confidence interval 1363:Interval estimation 1324:Unbiased estimators 1142:Model specification 1022:Up-and-down designs 710:Partial correlation 666:Index of dispersion 584:Interquartile range 269:Normal distribution 259:Cauchy distribution 202:Pareto distribution 152:Erlang distribution 37:numerical parameter 2624:Spatial statistics 2504:Medical statistics 2404:First hitting time 2358:Whittle likelihood 2009:Degrees of freedom 2004:Multivariate ANOVA 1937:Heteroscedasticity 1749:Bayesian estimator 1714:Bayesian inference 1563:Kolmogorov–Smirnov 1448:Randomization test 1418:Testing hypotheses 1391:Tolerance interval 1302:Maximum likelihood 1197:Exponential family 1130:Density estimation 1090:Statistical theory 1050:Natural experiment 996:Scientific control 913:Survey methodology 599:Standard deviation 306:Location parameter 187:Log-t distribution 172:Gamma distribution 147:Dagum distribution 122:Maximum likelihood 81: 45:location parameter 43:that is neither a 21:probability theory 2726: 2725: 2664: 2663: 2660: 2659: 2599:National accounts 2569:Actuarial science 2561:Social statistics 2454: 2453: 2450: 2449: 2446: 2445: 2381:Survival function 2366: 2365: 2228:Granger causality 2069:Contingency table 2044:Survival analysis 2021: 2020: 2017: 2016: 1873:Linear regression 1768: 1767: 1764: 1763: 1739:Credible interval 1708: 1707: 1491: 1490: 1307:Method of moments 1176:Parametric family 1137:Statistical model 1067: 1066: 1063: 1062: 981:Random assignment 903:Statistical power 837: 836: 833: 832: 682:Contingency table 652: 651: 519:Generalized/power 142:Burr distribution 137:Beta distribution 98:method of moments 2746: 2714: 2713: 2702: 2701: 2691: 2690: 2676: 2675: 2579:Crime statistics 2473: 2472: 2460: 2459: 2377: 2376: 2343:Fourier analysis 2330:Frequency domain 2310: 2257: 2223:Structural break 2183: 2182: 2132:Cluster analysis 2079:Log-linear model 2052: 2051: 2027: 2026: 1968: 1942:Homoscedasticity 1798: 1797: 1774: 1773: 1693: 1685: 1677: 1676:(Kruskal–Wallis) 1661: 1646: 1601:Cross validation 1586: 1568:Anderson–Darling 1515: 1502: 1501: 1473:Likelihood-ratio 1465:Parametric tests 1443:Permutation test 1426:1- & 2-tails 1317:Minimum distance 1289:Point estimation 1285: 1284: 1236:Optimal decision 1187: 1086: 1085: 1073: 1072: 1055:Quasi-experiment 1005:Adaptive designs 856: 855: 843: 842: 720:Rank correlation 482: 481: 473: 472: 460: 459: 427: 420: 413: 404: 403: 398: 397: 387: 363: 357: 347: 341: 340: 330: 321: 106:(3rd moment) or 2754: 2753: 2749: 2748: 2747: 2745: 2744: 2743: 2729: 2728: 2727: 2722: 2685: 2656: 2618: 2555: 2541:quality control 2508: 2490:Clinical trials 2467: 2442: 2426: 2414:Hazard function 2408: 2362: 2324: 2308: 2271: 2267:Breusch–Godfrey 2255: 2232: 2172: 2147:Factor analysis 2093: 2074:Graphical model 2046: 2013: 1980: 1966: 1946: 1900: 1867: 1829: 1792: 1791: 1760: 1704: 1691: 1683: 1675: 1659: 1644: 1623:Rank statistics 1617: 1596:Model selection 1584: 1542:Goodness of fit 1536: 1513: 1487: 1459: 1412: 1357: 1346:Median unbiased 1274: 1185: 1118:Order statistic 1080: 1059: 1026: 1000: 952: 907: 850: 848:Data collection 829: 741: 696: 670: 648: 608: 560: 477:Continuous data 467: 454: 436: 431: 401: 364: 360: 348: 344: 328: 322: 318: 314: 292: 130: 86: 49:scale parameter 35:) is a kind of 31:(also known as 29:shape parameter 17: 12: 11: 5: 2752: 2742: 2741: 2724: 2723: 2721: 2720: 2708: 2696: 2682: 2669: 2666: 2665: 2662: 2661: 2658: 2657: 2655: 2654: 2649: 2644: 2639: 2634: 2628: 2626: 2620: 2619: 2617: 2616: 2611: 2606: 2601: 2596: 2591: 2586: 2581: 2576: 2571: 2565: 2563: 2557: 2556: 2554: 2553: 2548: 2543: 2534: 2529: 2524: 2518: 2516: 2510: 2509: 2507: 2506: 2501: 2496: 2487: 2485:Bioinformatics 2481: 2479: 2469: 2468: 2456: 2455: 2452: 2451: 2448: 2447: 2444: 2443: 2441: 2440: 2434: 2432: 2428: 2427: 2425: 2424: 2418: 2416: 2410: 2409: 2407: 2406: 2401: 2396: 2391: 2385: 2383: 2374: 2368: 2367: 2364: 2363: 2361: 2360: 2355: 2350: 2345: 2340: 2334: 2332: 2326: 2325: 2323: 2322: 2317: 2312: 2304: 2299: 2294: 2293: 2292: 2290:partial (PACF) 2281: 2279: 2273: 2272: 2270: 2269: 2264: 2259: 2251: 2246: 2240: 2238: 2237:Specific tests 2234: 2233: 2231: 2230: 2225: 2220: 2215: 2210: 2205: 2200: 2195: 2189: 2187: 2180: 2174: 2173: 2171: 2170: 2169: 2168: 2167: 2166: 2151: 2150: 2149: 2139: 2137:Classification 2134: 2129: 2124: 2119: 2114: 2109: 2103: 2101: 2095: 2094: 2092: 2091: 2086: 2084:McNemar's test 2081: 2076: 2071: 2066: 2060: 2058: 2048: 2047: 2023: 2022: 2019: 2018: 2015: 2014: 2012: 2011: 2006: 2001: 1996: 1990: 1988: 1982: 1981: 1979: 1978: 1962: 1956: 1954: 1948: 1947: 1945: 1944: 1939: 1934: 1929: 1924: 1922:Semiparametric 1919: 1914: 1908: 1906: 1902: 1901: 1899: 1898: 1893: 1888: 1883: 1877: 1875: 1869: 1868: 1866: 1865: 1860: 1855: 1850: 1845: 1839: 1837: 1831: 1830: 1828: 1827: 1822: 1817: 1812: 1806: 1804: 1794: 1793: 1790: 1789: 1784: 1778: 1770: 1769: 1766: 1765: 1762: 1761: 1759: 1758: 1757: 1756: 1746: 1741: 1736: 1735: 1734: 1729: 1718: 1716: 1710: 1709: 1706: 1705: 1703: 1702: 1697: 1696: 1695: 1687: 1679: 1663: 1660:(Mann–Whitney) 1655: 1654: 1653: 1640: 1639: 1638: 1627: 1625: 1619: 1618: 1616: 1615: 1614: 1613: 1608: 1603: 1593: 1588: 1585:(Shapiro–Wilk) 1580: 1575: 1570: 1565: 1560: 1552: 1546: 1544: 1538: 1537: 1535: 1534: 1526: 1517: 1505: 1499: 1497:Specific tests 1493: 1492: 1489: 1488: 1486: 1485: 1480: 1475: 1469: 1467: 1461: 1460: 1458: 1457: 1452: 1451: 1450: 1440: 1439: 1438: 1428: 1422: 1420: 1414: 1413: 1411: 1410: 1409: 1408: 1403: 1393: 1388: 1383: 1378: 1373: 1367: 1365: 1359: 1358: 1356: 1355: 1350: 1349: 1348: 1343: 1342: 1341: 1336: 1321: 1320: 1319: 1314: 1309: 1304: 1293: 1291: 1282: 1276: 1275: 1273: 1272: 1267: 1262: 1261: 1260: 1250: 1245: 1244: 1243: 1233: 1232: 1231: 1226: 1221: 1211: 1206: 1201: 1200: 1199: 1194: 1189: 1173: 1172: 1171: 1166: 1161: 1151: 1150: 1149: 1144: 1134: 1133: 1132: 1122: 1121: 1120: 1110: 1105: 1100: 1094: 1092: 1082: 1081: 1069: 1068: 1065: 1064: 1061: 1060: 1058: 1057: 1052: 1047: 1042: 1036: 1034: 1028: 1027: 1025: 1024: 1019: 1014: 1008: 1006: 1002: 1001: 999: 998: 993: 988: 983: 978: 973: 968: 962: 960: 954: 953: 951: 950: 948:Standard error 945: 940: 935: 934: 933: 928: 917: 915: 909: 908: 906: 905: 900: 895: 890: 885: 880: 878:Optimal design 875: 870: 864: 862: 852: 851: 839: 838: 835: 834: 831: 830: 828: 827: 822: 817: 812: 807: 802: 797: 792: 787: 782: 777: 772: 767: 762: 757: 751: 749: 743: 742: 740: 739: 734: 733: 732: 727: 717: 712: 706: 704: 698: 697: 695: 694: 689: 684: 678: 676: 675:Summary tables 672: 671: 669: 668: 662: 660: 654: 653: 650: 649: 647: 646: 645: 644: 639: 634: 624: 618: 616: 610: 609: 607: 606: 601: 596: 591: 586: 581: 576: 570: 568: 562: 561: 559: 558: 553: 548: 547: 546: 541: 536: 531: 526: 521: 516: 511: 509:Contraharmonic 506: 501: 490: 488: 479: 469: 468: 456: 455: 453: 452: 447: 441: 438: 437: 430: 429: 422: 415: 407: 400: 399: 358: 342: 315: 313: 310: 309: 308: 303: 298: 291: 288: 287: 286: 281: 276: 271: 266: 261: 256: 235: 234: 229: 224: 219: 214: 209: 204: 199: 194: 189: 184: 179: 174: 169: 164: 159: 154: 149: 144: 139: 129: 126: 85: 82: 53:rate parameter 33:form parameter 15: 9: 6: 4: 3: 2: 2751: 2740: 2737: 2736: 2734: 2719: 2718: 2709: 2707: 2706: 2697: 2695: 2694: 2689: 2683: 2681: 2680: 2671: 2670: 2667: 2653: 2650: 2648: 2647:Geostatistics 2645: 2643: 2640: 2638: 2635: 2633: 2630: 2629: 2627: 2625: 2621: 2615: 2614:Psychometrics 2612: 2610: 2607: 2605: 2602: 2600: 2597: 2595: 2592: 2590: 2587: 2585: 2582: 2580: 2577: 2575: 2572: 2570: 2567: 2566: 2564: 2562: 2558: 2552: 2549: 2547: 2544: 2542: 2538: 2535: 2533: 2530: 2528: 2525: 2523: 2520: 2519: 2517: 2515: 2511: 2505: 2502: 2500: 2497: 2495: 2491: 2488: 2486: 2483: 2482: 2480: 2478: 2477:Biostatistics 2474: 2470: 2466: 2461: 2457: 2439: 2438:Log-rank test 2436: 2435: 2433: 2429: 2423: 2420: 2419: 2417: 2415: 2411: 2405: 2402: 2400: 2397: 2395: 2392: 2390: 2387: 2386: 2384: 2382: 2378: 2375: 2373: 2369: 2359: 2356: 2354: 2351: 2349: 2346: 2344: 2341: 2339: 2336: 2335: 2333: 2331: 2327: 2321: 2318: 2316: 2313: 2311: 2309:(Box–Jenkins) 2305: 2303: 2300: 2298: 2295: 2291: 2288: 2287: 2286: 2283: 2282: 2280: 2278: 2274: 2268: 2265: 2263: 2262:Durbin–Watson 2260: 2258: 2252: 2250: 2247: 2245: 2244:Dickey–Fuller 2242: 2241: 2239: 2235: 2229: 2226: 2224: 2221: 2219: 2218:Cointegration 2216: 2214: 2211: 2209: 2206: 2204: 2201: 2199: 2196: 2194: 2193:Decomposition 2191: 2190: 2188: 2184: 2181: 2179: 2175: 2165: 2162: 2161: 2160: 2157: 2156: 2155: 2152: 2148: 2145: 2144: 2143: 2140: 2138: 2135: 2133: 2130: 2128: 2125: 2123: 2120: 2118: 2115: 2113: 2110: 2108: 2105: 2104: 2102: 2100: 2096: 2090: 2087: 2085: 2082: 2080: 2077: 2075: 2072: 2070: 2067: 2065: 2064:Cohen's kappa 2062: 2061: 2059: 2057: 2053: 2049: 2045: 2041: 2037: 2033: 2028: 2024: 2010: 2007: 2005: 2002: 2000: 1997: 1995: 1992: 1991: 1989: 1987: 1983: 1977: 1973: 1969: 1963: 1961: 1958: 1957: 1955: 1953: 1949: 1943: 1940: 1938: 1935: 1933: 1930: 1928: 1925: 1923: 1920: 1918: 1917:Nonparametric 1915: 1913: 1910: 1909: 1907: 1903: 1897: 1894: 1892: 1889: 1887: 1884: 1882: 1879: 1878: 1876: 1874: 1870: 1864: 1861: 1859: 1856: 1854: 1851: 1849: 1846: 1844: 1841: 1840: 1838: 1836: 1832: 1826: 1823: 1821: 1818: 1816: 1813: 1811: 1808: 1807: 1805: 1803: 1799: 1795: 1788: 1785: 1783: 1780: 1779: 1775: 1771: 1755: 1752: 1751: 1750: 1747: 1745: 1742: 1740: 1737: 1733: 1730: 1728: 1725: 1724: 1723: 1720: 1719: 1717: 1715: 1711: 1701: 1698: 1694: 1688: 1686: 1680: 1678: 1672: 1671: 1670: 1667: 1666:Nonparametric 1664: 1662: 1656: 1652: 1649: 1648: 1647: 1641: 1637: 1636:Sample median 1634: 1633: 1632: 1629: 1628: 1626: 1624: 1620: 1612: 1609: 1607: 1604: 1602: 1599: 1598: 1597: 1594: 1592: 1589: 1587: 1581: 1579: 1576: 1574: 1571: 1569: 1566: 1564: 1561: 1559: 1557: 1553: 1551: 1548: 1547: 1545: 1543: 1539: 1533: 1531: 1527: 1525: 1523: 1518: 1516: 1511: 1507: 1506: 1503: 1500: 1498: 1494: 1484: 1481: 1479: 1476: 1474: 1471: 1470: 1468: 1466: 1462: 1456: 1453: 1449: 1446: 1445: 1444: 1441: 1437: 1434: 1433: 1432: 1429: 1427: 1424: 1423: 1421: 1419: 1415: 1407: 1404: 1402: 1399: 1398: 1397: 1394: 1392: 1389: 1387: 1384: 1382: 1379: 1377: 1374: 1372: 1369: 1368: 1366: 1364: 1360: 1354: 1351: 1347: 1344: 1340: 1337: 1335: 1332: 1331: 1330: 1327: 1326: 1325: 1322: 1318: 1315: 1313: 1310: 1308: 1305: 1303: 1300: 1299: 1298: 1295: 1294: 1292: 1290: 1286: 1283: 1281: 1277: 1271: 1268: 1266: 1263: 1259: 1256: 1255: 1254: 1251: 1249: 1246: 1242: 1241:loss function 1239: 1238: 1237: 1234: 1230: 1227: 1225: 1222: 1220: 1217: 1216: 1215: 1212: 1210: 1207: 1205: 1202: 1198: 1195: 1193: 1190: 1188: 1182: 1179: 1178: 1177: 1174: 1170: 1167: 1165: 1162: 1160: 1157: 1156: 1155: 1152: 1148: 1145: 1143: 1140: 1139: 1138: 1135: 1131: 1128: 1127: 1126: 1123: 1119: 1116: 1115: 1114: 1111: 1109: 1106: 1104: 1101: 1099: 1096: 1095: 1093: 1091: 1087: 1083: 1079: 1074: 1070: 1056: 1053: 1051: 1048: 1046: 1043: 1041: 1038: 1037: 1035: 1033: 1029: 1023: 1020: 1018: 1015: 1013: 1010: 1009: 1007: 1003: 997: 994: 992: 989: 987: 984: 982: 979: 977: 974: 972: 969: 967: 964: 963: 961: 959: 955: 949: 946: 944: 943:Questionnaire 941: 939: 936: 932: 929: 927: 924: 923: 922: 919: 918: 916: 914: 910: 904: 901: 899: 896: 894: 891: 889: 886: 884: 881: 879: 876: 874: 871: 869: 866: 865: 863: 861: 857: 853: 849: 844: 840: 826: 823: 821: 818: 816: 813: 811: 808: 806: 803: 801: 798: 796: 793: 791: 788: 786: 783: 781: 778: 776: 773: 771: 770:Control chart 768: 766: 763: 761: 758: 756: 753: 752: 750: 748: 744: 738: 735: 731: 728: 726: 723: 722: 721: 718: 716: 713: 711: 708: 707: 705: 703: 699: 693: 690: 688: 685: 683: 680: 679: 677: 673: 667: 664: 663: 661: 659: 655: 643: 640: 638: 635: 633: 630: 629: 628: 625: 623: 620: 619: 617: 615: 611: 605: 602: 600: 597: 595: 592: 590: 587: 585: 582: 580: 577: 575: 572: 571: 569: 567: 563: 557: 554: 552: 549: 545: 542: 540: 537: 535: 532: 530: 527: 525: 522: 520: 517: 515: 512: 510: 507: 505: 502: 500: 497: 496: 495: 492: 491: 489: 487: 483: 480: 478: 474: 470: 466: 461: 457: 451: 448: 446: 443: 442: 439: 435: 428: 423: 421: 416: 414: 409: 408: 405: 395: 391: 386: 381: 377: 373: 369: 362: 356: 355:0-521-81099-X 352: 346: 338: 334: 327: 320: 316: 307: 304: 302: 299: 297: 294: 293: 285: 282: 280: 277: 275: 272: 270: 267: 265: 262: 260: 257: 255: 252: 251: 250: 248: 244: 240: 233: 230: 228: 225: 223: 220: 218: 215: 213: 210: 208: 205: 203: 200: 198: 195: 193: 190: 188: 185: 183: 180: 178: 175: 173: 170: 168: 165: 163: 160: 158: 155: 153: 150: 148: 145: 143: 140: 138: 135: 134: 133: 125: 123: 119: 115: 111: 110: 105: 104: 99: 95: 91: 78: 74: 70: 66: 62: 60: 59: 54: 50: 46: 42: 38: 34: 30: 26: 22: 2715: 2703: 2684: 2677: 2589:Econometrics 2539: / 2522:Chemometrics 2499:Epidemiology 2492: / 2465:Applications 2307:ARIMA model 2254:Q-statistic 2203:Stationarity 2099:Multivariate 2042: / 2038: / 2036:Multivariate 2034: / 1974: / 1970: / 1744:Bayes factor 1643:Signed rank 1555: 1529: 1521: 1509: 1204:Completeness 1168: 1040:Cohort study 938:Opinion poll 873:Missing data 860:Study design 815:Scatter plot 737:Scatter plot 730:Spearman's ρ 692:Grouped data 375: 371: 361: 345: 336: 332: 319: 238: 236: 131: 107: 101: 100:, as in the 96:, using the 87: 56: 32: 28: 18: 2717:WikiProject 2632:Cartography 2594:Jurimetrics 2546:Reliability 2277:Time domain 2256:(Ljung–Box) 2178:Time-series 2056:Categorical 2040:Time-series 2032:Categorical 1967:(Bernoulli) 1802:Correlation 1782:Correlation 1578:Jarque–Bera 1550:Chi-squared 1312:M-estimator 1265:Asymptotics 1209:Sufficiency 976:Interaction 888:Replication 868:Effect size 825:Violin plot 805:Radar chart 785:Forest plot 775:Correlogram 725:Kendall's τ 2584:Demography 2302:ARMA model 2107:Regression 1684:(Friedman) 1645:(Wilcoxon) 1583:Normality 1573:Lilliefors 1520:Student's 1396:Resampling 1270:Robustness 1258:divergence 1248:Efficiency 1186:(monotone) 1181:Likelihood 1098:Population 931:Stratified 883:Population 702:Dependence 658:Count data 589:Percentile 566:Dispersion 499:Arithmetic 434:Statistics 312:References 90:estimators 84:Estimation 25:statistics 1965:Logistic 1732:posterior 1658:Rank sum 1406:Jackknife 1401:Bootstrap 1219:Bootstrap 1154:Parameter 1103:Statistic 898:Statistic 810:Run chart 795:Pie chart 790:Histogram 780:Fan chart 755:Bar chart 637:L-moments 524:Geometric 394:0003-4851 118:L-moments 2733:Category 2679:Category 2372:Survival 2249:Johansen 1972:Binomial 1927:Isotonic 1514:(normal) 1159:location 966:Blocking 921:Sampling 800:Q–Q plot 765:Box plot 747:Graphics 642:Skewness 632:Kurtosis 604:Variance 534:Heronian 529:Harmonic 301:Kurtosis 296:Skewness 290:See also 247:kurtosis 243:skewness 128:Examples 109:kurtosis 103:skewness 77:variance 2705:Commons 2652:Kriging 2537:Process 2494:studies 2353:Wavelet 2186:General 1353:Plug-in 1147:L space 926:Cluster 627:Moments 445:Outline 94:moments 2574:Census 2164:Normal 2112:Manova 1932:Robust 1682:2-way 1674:1-way 1512:-test 1183:  760:Biplot 551:Median 544:Lehmer 486:Center 392:  353:  75:0 and 47:nor a 2198:Trend 1727:prior 1669:anova 1558:-test 1532:-test 1524:-test 1431:Power 1376:Pivot 1169:shape 1164:scale 614:Shape 594:Range 539:Heinz 514:Cubic 450:Index 329:(PDF) 88:Many 58:shape 2431:Test 1631:Sign 1483:Wald 556:Mode 494:Mean 390:ISSN 351:ISBN 245:and 73:mean 27:, a 23:and 1611:BIC 1606:AIC 380:doi 239:not 19:In 2735:: 388:. 376:19 374:. 370:. 337:25 335:. 331:. 120:. 79:1. 1556:G 1530:F 1522:t 1510:Z 1229:V 1224:U 426:e 419:t 412:v 396:. 382:: 339:.

Index

probability theory
statistics
numerical parameter
probability distributions
location parameter
scale parameter
rate parameter
shape

Probability density functions
mean
variance
estimators
moments
method of moments
skewness
kurtosis
higher-order statistics
L-moments
Maximum likelihood
Beta distribution
Burr distribution
Dagum distribution
Erlang distribution
ExGaussian distribution
Exponential power distribution
Fréchet distribution
Gamma distribution
Generalized extreme value distribution
Log-logistic distribution

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