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Heronian mean

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2671: 2657: 238: 2695: 2683: 227: 103: 123:, the Heronian mean is symmetric (it does not depend on the order in which its two arguments are given) and idempotent (the mean of any number with itself is the same number). 149: 40: 1792: 2297: 2447: 2071: 712: 261:. The volume is equal to the product of the height of the frustum and the Heronian mean of the areas of the opposing parallel faces. 1845: 2284: 371: 317: 707: 407: 1311: 459: 363: 2094: 1986: 2699: 2272: 2146: 301: 2330: 1991: 1736: 1107: 697: 2381: 1593: 1400: 1289: 1247: 1321: 2624: 1583: 486: 2175: 2124: 2109: 2099: 1968: 1840: 1807: 1633: 1588: 1418: 269: 2687: 2519: 2320: 2244: 1545: 1299: 968: 432: 265: 2404: 2376: 2371: 2119: 1878: 1784: 1764: 1672: 1383: 1201: 684: 556: 2136: 1904: 1625: 1550: 1479: 1408: 1328: 1316: 1186: 1174: 1167: 875: 596: 2619: 2386: 2249: 1934: 1899: 1863: 1648: 1090: 999: 958: 870: 561: 400: 135: 2528: 2141: 2081: 2018: 1656: 1640: 1378: 1240: 1230: 1080: 994: 2566: 2496: 2289: 2226: 1981: 1868: 865: 762: 669: 548: 447: 333: 2591: 2533: 2476: 2302: 2195: 2104: 1830: 1714: 1573: 1565: 1455: 1447: 1262: 1158: 1136: 1095: 1060: 1027: 973: 948: 903: 842: 802: 604: 427: 357: 241:
A square frustum, with volume equal to the height times the Heronian mean of the square areas
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Elements of Geometry, and Plane and Spherical Trigonometry, with Numerous Practical Problems
2514: 2089: 2038: 2014: 1976: 1894: 1873: 1825: 1704: 1682: 1651: 1560: 1437: 1388: 1306: 1279: 1235: 1191: 953: 729: 609: 8: 2661: 2586: 2509: 2190: 1954: 1947: 1909: 1817: 1797: 1769: 1502: 1368: 1363: 1353: 1345: 1163: 1124: 1014: 1004: 913: 692: 648: 566: 491: 393: 222:{\displaystyle H={\frac {2}{3}}\cdot {\frac {A+B}{2}}+{\frac {1}{3}}\cdot {\sqrt {AB}}.} 2675: 2486: 2340: 2236: 2185: 2061: 1958: 1942: 1919: 1696: 1430: 1413: 1373: 1284: 1179: 1141: 1112: 1072: 1032: 978: 895: 581: 576: 108: 337: 2670: 2581: 2551: 2543: 2363: 2354: 2279: 2210: 2066: 2051: 2026: 1914: 1855: 1721: 1709: 1335: 1252: 1196: 1119: 963: 885: 664: 538: 367: 313: 2606: 2561: 2325: 2312: 2205: 2180: 2114: 2046: 1924: 1532: 1425: 1358: 1271: 1218: 1037: 908: 702: 586: 501: 468: 305: 2523: 2267: 2129: 2056: 1731: 1605: 1578: 1555: 1524: 1151: 1146: 1100: 830: 481: 258: 139: 2013: 2721: 2472: 2467: 930: 860: 506: 229:
Therefore, it lies between these two means, and between the two given numbers.
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Bullen, P.S. (2003), "2.1.4 Heronian, centroidal and neo-Pythagorean means",
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A version of this formula, for square frusta, appears in the
476: 120: 342:, New York: Ivison, Phinney & Co., pp. 210–211 300:, Mathematics and Its Applications, Berlin, New York: 152: 43: 2298:
Autoregressive conditional heteroskedasticity (ARCH)
331: 1760: 221: 97: 2713: 232: 1846:Multivariate adaptive regression splines (MARS) 401: 245:The Heronian mean may be used in finding the 446: 408: 394: 359:Great Moments in Mathematics (Before 1650) 272:, whose content dates to roughly 1850 BC. 1059: 298:Handbook of Means and Their Inequalities 291: 289: 287: 285: 236: 2714: 2372:Kaplan–Meier estimator (product limit) 295: 2445: 2012: 1759: 1058: 828: 445: 389: 282: 2682: 2382:Accelerated failure time (AFT) model 352: 2694: 1977:Analysis of variance (ANOVA, anova) 829: 364:Mathematical Association of America 346: 13: 2072:Cochran–Mantel–Haenszel statistics 698:Pearson product-moment correlation 325: 14: 2733: 126:The Heronian mean of the numbers 2693: 2681: 2669: 2656: 2655: 2446: 16:Number between two given numbers 2331:Least-squares spectral analysis 302:Springer Science+Business Media 1312:Mean-unbiased minimum-variance 415: 1: 2625:Geographic information system 1841:Simultaneous equations models 275: 233:Application in solid geometry 114: 1808:Coefficient of determination 1419:Uniformly most powerful test 332:Horatio N. Robinson (1860), 270:Ancient Egyptian mathematics 7: 2377:Proportional hazards models 2321:Spectral density estimation 2303:Vector autoregression (VAR) 1737:Maximum posterior estimator 969:Randomized controlled trial 266:Moscow Mathematical Papyrus 10: 2738: 2137:Multivariate distributions 557:Average absolute deviation 2651: 2605: 2542: 2495: 2458: 2454: 2441: 2413: 2395: 2362: 2353: 2311: 2258: 2219: 2168: 2159: 2125:Structural equation model 2080: 2037: 2033: 2008: 1967: 1933: 1887: 1854: 1816: 1783: 1779: 1755: 1695: 1604: 1523: 1487: 1478: 1461:Score/Lagrange multiplier 1446: 1399: 1344: 1270: 1261: 1071: 1067: 1054: 1013: 987: 939: 894: 876:Sample size determination 841: 837: 824: 728: 683: 657: 639: 595: 547: 467: 458: 454: 441: 423: 310:10.1007/978-94-017-0399-4 2620:Environmental statistics 2142:Elliptical distributions 1935:Generalized linear model 1864:Simple linear regression 1634:Hodges–Lehmann estimator 1091:Probability distribution 1000:Stochastic approximation 562:Coefficient of variation 37:is given by the formula 2280:Cross-correlation (XCF) 1888:Non-standard predictors 1322:Lehmann–ScheffĂ© theorem 995:Adaptive clinical trial 2676:Mathematics portal 2497:Engineering statistics 2405:Nelson–Aalen estimator 1982:Analysis of covariance 1869:Ordinary least squares 1793:Pearson product-moment 1197:Statistical functional 1108:Empirical distribution 941:Controlled experiments 670:Frequency distribution 448:Descriptive statistics 242: 223: 99: 2592:Population statistics 2534:System identification 2268:Autocorrelation (ACF) 2196:Exponential smoothing 2110:Discriminant analysis 2105:Canonical correlation 1969:Partition of variance 1831:Regression validation 1675:(Jonckheere–Terpstra) 1574:Likelihood-ratio test 1263:Frequentist inference 1175:Location–scale family 1096:Sampling distribution 1061:Statistical inference 1028:Cross-sectional study 1015:Observational studies 974:Randomized experiment 803:Stem-and-leaf display 605:Central limit theorem 240: 224: 100: 2515:Probabilistic design 2100:Principal components 1943:Exponential families 1895:Nonlinear regression 1874:General linear model 1836:Mixed effects models 1826:Errors and residuals 1803:Confounding variable 1705:Bayesian probability 1683:Van der Waerden test 1673:Ordered alternative 1438:Multiple comparisons 1317:Rao–Blackwellization 1280:Estimating equations 1236:Statistical distance 954:Factorial experiment 487:Arithmetic-Geometric 354:Eves, Howard Whitley 304:, pp. 399–401, 150: 41: 26:of two non-negative 19:In mathematics, the 2587:Official statistics 2510:Methods engineering 2191:Seasonal adjustment 1959:Poisson regressions 1879:Bayesian regression 1818:Regression analysis 1798:Partial correlation 1770:Regression analysis 1369:Prediction interval 1364:Likelihood interval 1354:Confidence interval 1346:Interval estimation 1307:Unbiased estimators 1125:Model specification 1005:Up-and-down designs 693:Partial correlation 649:Index of dispersion 567:Interquartile range 2607:Spatial statistics 2487:Medical statistics 2387:First hitting time 2341:Whittle likelihood 1992:Degrees of freedom 1987:Multivariate ANOVA 1920:Heteroscedasticity 1732:Bayesian estimator 1697:Bayesian inference 1546:Kolmogorov–Smirnov 1431:Randomization test 1401:Testing hypotheses 1374:Tolerance interval 1285:Maximum likelihood 1180:Exponential family 1113:Density estimation 1073:Statistical theory 1033:Natural experiment 979:Scientific control 896:Survey methodology 582:Standard deviation 366:, pp. 11–13, 243: 219: 109:Hero of Alexandria 107:It is named after 95: 2709: 2708: 2647: 2646: 2643: 2642: 2582:National accounts 2552:Actuarial science 2544:Social statistics 2437: 2436: 2433: 2432: 2429: 2428: 2364:Survival function 2349: 2348: 2211:Granger causality 2052:Contingency table 2027:Survival analysis 2004: 2003: 2000: 1999: 1856:Linear regression 1751: 1750: 1747: 1746: 1722:Credible interval 1691: 1690: 1474: 1473: 1290:Method of moments 1159:Parametric family 1120:Statistical model 1050: 1049: 1046: 1045: 964:Random assignment 886:Statistical power 820: 819: 816: 815: 665:Contingency table 635: 634: 502:Generalized/power 373:978-0-88385-310-8 319:978-1-4020-1522-9 214: 201: 188: 167: 79: 58: 2729: 2697: 2696: 2685: 2684: 2674: 2673: 2659: 2658: 2562:Crime statistics 2456: 2455: 2443: 2442: 2360: 2359: 2326:Fourier analysis 2313:Frequency domain 2293: 2240: 2206:Structural break 2166: 2165: 2115:Cluster analysis 2062:Log-linear model 2035: 2034: 2010: 2009: 1951: 1925:Homoscedasticity 1781: 1780: 1757: 1756: 1676: 1668: 1660: 1659:(Kruskal–Wallis) 1644: 1629: 1584:Cross validation 1569: 1551:Anderson–Darling 1498: 1485: 1484: 1456:Likelihood-ratio 1448:Parametric tests 1426:Permutation test 1409:1- & 2-tails 1300:Minimum distance 1272:Point estimation 1268: 1267: 1219:Optimal decision 1170: 1069: 1068: 1056: 1055: 1038:Quasi-experiment 988:Adaptive designs 839: 838: 826: 825: 703:Rank correlation 465: 464: 456: 455: 443: 442: 410: 403: 396: 387: 386: 377: 376: 350: 344: 343: 329: 323: 322: 293: 228: 226: 225: 220: 215: 207: 202: 194: 189: 184: 173: 168: 160: 104: 102: 101: 96: 91: 87: 80: 72: 59: 51: 2737: 2736: 2732: 2731: 2730: 2728: 2727: 2726: 2712: 2711: 2710: 2705: 2668: 2639: 2601: 2538: 2524:quality control 2491: 2473:Clinical trials 2450: 2425: 2409: 2397:Hazard function 2391: 2345: 2307: 2291: 2254: 2250:Breusch–Godfrey 2238: 2215: 2155: 2130:Factor analysis 2076: 2057:Graphical model 2029: 1996: 1963: 1949: 1929: 1883: 1850: 1812: 1775: 1774: 1743: 1687: 1674: 1666: 1658: 1642: 1627: 1606:Rank statistics 1600: 1579:Model selection 1567: 1525:Goodness of fit 1519: 1496: 1470: 1442: 1395: 1340: 1329:Median unbiased 1257: 1168: 1101:Order statistic 1063: 1042: 1009: 983: 935: 890: 833: 831:Data collection 812: 724: 679: 653: 631: 591: 543: 460:Continuous data 450: 437: 419: 414: 383: 381: 380: 374: 351: 347: 330: 326: 320: 294: 283: 278: 235: 206: 193: 174: 172: 159: 151: 148: 147: 144:geometric means 117: 71: 64: 60: 50: 42: 39: 38: 17: 12: 11: 5: 2735: 2725: 2724: 2707: 2706: 2704: 2703: 2691: 2679: 2665: 2652: 2649: 2648: 2645: 2644: 2641: 2640: 2638: 2637: 2632: 2627: 2622: 2617: 2611: 2609: 2603: 2602: 2600: 2599: 2594: 2589: 2584: 2579: 2574: 2569: 2564: 2559: 2554: 2548: 2546: 2540: 2539: 2537: 2536: 2531: 2526: 2517: 2512: 2507: 2501: 2499: 2493: 2492: 2490: 2489: 2484: 2479: 2470: 2468:Bioinformatics 2464: 2462: 2452: 2451: 2439: 2438: 2435: 2434: 2431: 2430: 2427: 2426: 2424: 2423: 2417: 2415: 2411: 2410: 2408: 2407: 2401: 2399: 2393: 2392: 2390: 2389: 2384: 2379: 2374: 2368: 2366: 2357: 2351: 2350: 2347: 2346: 2344: 2343: 2338: 2333: 2328: 2323: 2317: 2315: 2309: 2308: 2306: 2305: 2300: 2295: 2287: 2282: 2277: 2276: 2275: 2273:partial (PACF) 2264: 2262: 2256: 2255: 2253: 2252: 2247: 2242: 2234: 2229: 2223: 2221: 2220:Specific tests 2217: 2216: 2214: 2213: 2208: 2203: 2198: 2193: 2188: 2183: 2178: 2172: 2170: 2163: 2157: 2156: 2154: 2153: 2152: 2151: 2150: 2149: 2134: 2133: 2132: 2122: 2120:Classification 2117: 2112: 2107: 2102: 2097: 2092: 2086: 2084: 2078: 2077: 2075: 2074: 2069: 2067:McNemar's test 2064: 2059: 2054: 2049: 2043: 2041: 2031: 2030: 2006: 2005: 2002: 2001: 1998: 1997: 1995: 1994: 1989: 1984: 1979: 1973: 1971: 1965: 1964: 1962: 1961: 1945: 1939: 1937: 1931: 1930: 1928: 1927: 1922: 1917: 1912: 1907: 1905:Semiparametric 1902: 1897: 1891: 1889: 1885: 1884: 1882: 1881: 1876: 1871: 1866: 1860: 1858: 1852: 1851: 1849: 1848: 1843: 1838: 1833: 1828: 1822: 1820: 1814: 1813: 1811: 1810: 1805: 1800: 1795: 1789: 1787: 1777: 1776: 1773: 1772: 1767: 1761: 1753: 1752: 1749: 1748: 1745: 1744: 1742: 1741: 1740: 1739: 1729: 1724: 1719: 1718: 1717: 1712: 1701: 1699: 1693: 1692: 1689: 1688: 1686: 1685: 1680: 1679: 1678: 1670: 1662: 1646: 1643:(Mann–Whitney) 1638: 1637: 1636: 1623: 1622: 1621: 1610: 1608: 1602: 1601: 1599: 1598: 1597: 1596: 1591: 1586: 1576: 1571: 1568:(Shapiro–Wilk) 1563: 1558: 1553: 1548: 1543: 1535: 1529: 1527: 1521: 1520: 1518: 1517: 1509: 1500: 1488: 1482: 1480:Specific tests 1476: 1475: 1472: 1471: 1469: 1468: 1463: 1458: 1452: 1450: 1444: 1443: 1441: 1440: 1435: 1434: 1433: 1423: 1422: 1421: 1411: 1405: 1403: 1397: 1396: 1394: 1393: 1392: 1391: 1386: 1376: 1371: 1366: 1361: 1356: 1350: 1348: 1342: 1341: 1339: 1338: 1333: 1332: 1331: 1326: 1325: 1324: 1319: 1304: 1303: 1302: 1297: 1292: 1287: 1276: 1274: 1265: 1259: 1258: 1256: 1255: 1250: 1245: 1244: 1243: 1233: 1228: 1227: 1226: 1216: 1215: 1214: 1209: 1204: 1194: 1189: 1184: 1183: 1182: 1177: 1172: 1156: 1155: 1154: 1149: 1144: 1134: 1133: 1132: 1127: 1117: 1116: 1115: 1105: 1104: 1103: 1093: 1088: 1083: 1077: 1075: 1065: 1064: 1052: 1051: 1048: 1047: 1044: 1043: 1041: 1040: 1035: 1030: 1025: 1019: 1017: 1011: 1010: 1008: 1007: 1002: 997: 991: 989: 985: 984: 982: 981: 976: 971: 966: 961: 956: 951: 945: 943: 937: 936: 934: 933: 931:Standard error 928: 923: 918: 917: 916: 911: 900: 898: 892: 891: 889: 888: 883: 878: 873: 868: 863: 861:Optimal design 858: 853: 847: 845: 835: 834: 822: 821: 818: 817: 814: 813: 811: 810: 805: 800: 795: 790: 785: 780: 775: 770: 765: 760: 755: 750: 745: 740: 734: 732: 726: 725: 723: 722: 717: 716: 715: 710: 700: 695: 689: 687: 681: 680: 678: 677: 672: 667: 661: 659: 658:Summary tables 655: 654: 652: 651: 645: 643: 637: 636: 633: 632: 630: 629: 628: 627: 622: 617: 607: 601: 599: 593: 592: 590: 589: 584: 579: 574: 569: 564: 559: 553: 551: 545: 544: 542: 541: 536: 531: 530: 529: 524: 519: 514: 509: 504: 499: 494: 492:Contraharmonic 489: 484: 473: 471: 462: 452: 451: 439: 438: 436: 435: 430: 424: 421: 420: 413: 412: 405: 398: 390: 379: 378: 372: 345: 324: 318: 280: 279: 277: 274: 234: 231: 218: 213: 210: 205: 200: 197: 192: 187: 183: 180: 177: 171: 166: 163: 158: 155: 119:Just like all 116: 113: 94: 90: 86: 83: 78: 75: 70: 67: 63: 57: 54: 49: 46: 15: 9: 6: 4: 3: 2: 2734: 2723: 2720: 2719: 2717: 2702: 2701: 2692: 2690: 2689: 2680: 2678: 2677: 2672: 2666: 2664: 2663: 2654: 2653: 2650: 2636: 2633: 2631: 2630:Geostatistics 2628: 2626: 2623: 2621: 2618: 2616: 2613: 2612: 2610: 2608: 2604: 2598: 2597:Psychometrics 2595: 2593: 2590: 2588: 2585: 2583: 2580: 2578: 2575: 2573: 2570: 2568: 2565: 2563: 2560: 2558: 2555: 2553: 2550: 2549: 2547: 2545: 2541: 2535: 2532: 2530: 2527: 2525: 2521: 2518: 2516: 2513: 2511: 2508: 2506: 2503: 2502: 2500: 2498: 2494: 2488: 2485: 2483: 2480: 2478: 2474: 2471: 2469: 2466: 2465: 2463: 2461: 2460:Biostatistics 2457: 2453: 2449: 2444: 2440: 2422: 2421:Log-rank test 2419: 2418: 2416: 2412: 2406: 2403: 2402: 2400: 2398: 2394: 2388: 2385: 2383: 2380: 2378: 2375: 2373: 2370: 2369: 2367: 2365: 2361: 2358: 2356: 2352: 2342: 2339: 2337: 2334: 2332: 2329: 2327: 2324: 2322: 2319: 2318: 2316: 2314: 2310: 2304: 2301: 2299: 2296: 2294: 2292:(Box–Jenkins) 2288: 2286: 2283: 2281: 2278: 2274: 2271: 2270: 2269: 2266: 2265: 2263: 2261: 2257: 2251: 2248: 2246: 2245:Durbin–Watson 2243: 2241: 2235: 2233: 2230: 2228: 2227:Dickey–Fuller 2225: 2224: 2222: 2218: 2212: 2209: 2207: 2204: 2202: 2201:Cointegration 2199: 2197: 2194: 2192: 2189: 2187: 2184: 2182: 2179: 2177: 2176:Decomposition 2174: 2173: 2171: 2167: 2164: 2162: 2158: 2148: 2145: 2144: 2143: 2140: 2139: 2138: 2135: 2131: 2128: 2127: 2126: 2123: 2121: 2118: 2116: 2113: 2111: 2108: 2106: 2103: 2101: 2098: 2096: 2093: 2091: 2088: 2087: 2085: 2083: 2079: 2073: 2070: 2068: 2065: 2063: 2060: 2058: 2055: 2053: 2050: 2048: 2047:Cohen's kappa 2045: 2044: 2042: 2040: 2036: 2032: 2028: 2024: 2020: 2016: 2011: 2007: 1993: 1990: 1988: 1985: 1983: 1980: 1978: 1975: 1974: 1972: 1970: 1966: 1960: 1956: 1952: 1946: 1944: 1941: 1940: 1938: 1936: 1932: 1926: 1923: 1921: 1918: 1916: 1913: 1911: 1908: 1906: 1903: 1901: 1900:Nonparametric 1898: 1896: 1893: 1892: 1890: 1886: 1880: 1877: 1875: 1872: 1870: 1867: 1865: 1862: 1861: 1859: 1857: 1853: 1847: 1844: 1842: 1839: 1837: 1834: 1832: 1829: 1827: 1824: 1823: 1821: 1819: 1815: 1809: 1806: 1804: 1801: 1799: 1796: 1794: 1791: 1790: 1788: 1786: 1782: 1778: 1771: 1768: 1766: 1763: 1762: 1758: 1754: 1738: 1735: 1734: 1733: 1730: 1728: 1725: 1723: 1720: 1716: 1713: 1711: 1708: 1707: 1706: 1703: 1702: 1700: 1698: 1694: 1684: 1681: 1677: 1671: 1669: 1663: 1661: 1655: 1654: 1653: 1650: 1649:Nonparametric 1647: 1645: 1639: 1635: 1632: 1631: 1630: 1624: 1620: 1619:Sample median 1617: 1616: 1615: 1612: 1611: 1609: 1607: 1603: 1595: 1592: 1590: 1587: 1585: 1582: 1581: 1580: 1577: 1575: 1572: 1570: 1564: 1562: 1559: 1557: 1554: 1552: 1549: 1547: 1544: 1542: 1540: 1536: 1534: 1531: 1530: 1528: 1526: 1522: 1516: 1514: 1510: 1508: 1506: 1501: 1499: 1494: 1490: 1489: 1486: 1483: 1481: 1477: 1467: 1464: 1462: 1459: 1457: 1454: 1453: 1451: 1449: 1445: 1439: 1436: 1432: 1429: 1428: 1427: 1424: 1420: 1417: 1416: 1415: 1412: 1410: 1407: 1406: 1404: 1402: 1398: 1390: 1387: 1385: 1382: 1381: 1380: 1377: 1375: 1372: 1370: 1367: 1365: 1362: 1360: 1357: 1355: 1352: 1351: 1349: 1347: 1343: 1337: 1334: 1330: 1327: 1323: 1320: 1318: 1315: 1314: 1313: 1310: 1309: 1308: 1305: 1301: 1298: 1296: 1293: 1291: 1288: 1286: 1283: 1282: 1281: 1278: 1277: 1275: 1273: 1269: 1266: 1264: 1260: 1254: 1251: 1249: 1246: 1242: 1239: 1238: 1237: 1234: 1232: 1229: 1225: 1224:loss function 1222: 1221: 1220: 1217: 1213: 1210: 1208: 1205: 1203: 1200: 1199: 1198: 1195: 1193: 1190: 1188: 1185: 1181: 1178: 1176: 1173: 1171: 1165: 1162: 1161: 1160: 1157: 1153: 1150: 1148: 1145: 1143: 1140: 1139: 1138: 1135: 1131: 1128: 1126: 1123: 1122: 1121: 1118: 1114: 1111: 1110: 1109: 1106: 1102: 1099: 1098: 1097: 1094: 1092: 1089: 1087: 1084: 1082: 1079: 1078: 1076: 1074: 1070: 1066: 1062: 1057: 1053: 1039: 1036: 1034: 1031: 1029: 1026: 1024: 1021: 1020: 1018: 1016: 1012: 1006: 1003: 1001: 998: 996: 993: 992: 990: 986: 980: 977: 975: 972: 970: 967: 965: 962: 960: 957: 955: 952: 950: 947: 946: 944: 942: 938: 932: 929: 927: 926:Questionnaire 924: 922: 919: 915: 912: 910: 907: 906: 905: 902: 901: 899: 897: 893: 887: 884: 882: 879: 877: 874: 872: 869: 867: 864: 862: 859: 857: 854: 852: 849: 848: 846: 844: 840: 836: 832: 827: 823: 809: 806: 804: 801: 799: 796: 794: 791: 789: 786: 784: 781: 779: 776: 774: 771: 769: 766: 764: 761: 759: 756: 754: 753:Control chart 751: 749: 746: 744: 741: 739: 736: 735: 733: 731: 727: 721: 718: 714: 711: 709: 706: 705: 704: 701: 699: 696: 694: 691: 690: 688: 686: 682: 676: 673: 671: 668: 666: 663: 662: 660: 656: 650: 647: 646: 644: 642: 638: 626: 623: 621: 618: 616: 613: 612: 611: 608: 606: 603: 602: 600: 598: 594: 588: 585: 583: 580: 578: 575: 573: 570: 568: 565: 563: 560: 558: 555: 554: 552: 550: 546: 540: 537: 535: 532: 528: 525: 523: 520: 518: 515: 513: 510: 508: 505: 503: 500: 498: 495: 493: 490: 488: 485: 483: 480: 479: 478: 475: 474: 472: 470: 466: 463: 461: 457: 453: 449: 444: 440: 434: 431: 429: 426: 425: 422: 418: 411: 406: 404: 399: 397: 392: 391: 388: 384: 375: 369: 365: 361: 360: 355: 349: 341: 340: 335: 328: 321: 315: 311: 307: 303: 299: 292: 290: 288: 286: 281: 273: 271: 267: 262: 260: 256: 252: 248: 239: 230: 216: 211: 208: 203: 198: 195: 190: 185: 181: 178: 175: 169: 164: 161: 156: 153: 145: 141: 137: 136:weighted mean 133: 129: 124: 122: 112: 110: 105: 92: 88: 84: 81: 76: 73: 68: 65: 61: 55: 52: 47: 44: 36: 32: 29: 25: 22: 21:Heronian mean 2698: 2686: 2667: 2660: 2572:Econometrics 2522: / 2505:Chemometrics 2482:Epidemiology 2475: / 2448:Applications 2290:ARIMA model 2237:Q-statistic 2186:Stationarity 2082:Multivariate 2025: / 2021: / 2019:Multivariate 2017: / 1957: / 1953: / 1727:Bayes factor 1626:Signed rank 1538: 1512: 1504: 1492: 1187:Completeness 1023:Cohort study 921:Opinion poll 856:Missing data 843:Study design 798:Scatter plot 720:Scatter plot 713:Spearman's ρ 675:Grouped data 516: 382: 358: 348: 338: 334:"Theorem 22" 327: 297: 263: 244: 131: 127: 125: 118: 106: 34: 30: 28:real numbers 23: 20: 18: 2700:WikiProject 2615:Cartography 2577:Jurimetrics 2529:Reliability 2260:Time domain 2239:(Ljung–Box) 2161:Time-series 2039:Categorical 2023:Time-series 2015:Categorical 1950:(Bernoulli) 1785:Correlation 1765:Correlation 1561:Jarque–Bera 1533:Chi-squared 1295:M-estimator 1248:Asymptotics 1192:Sufficiency 959:Interaction 871:Replication 851:Effect size 808:Violin plot 788:Radar chart 768:Forest plot 758:Correlogram 708:Kendall's τ 2567:Demography 2285:ARMA model 2090:Regression 1667:(Friedman) 1628:(Wilcoxon) 1566:Normality 1556:Lilliefors 1503:Student's 1379:Resampling 1253:Robustness 1241:divergence 1231:Efficiency 1169:(monotone) 1164:Likelihood 1081:Population 914:Stratified 866:Population 685:Dependence 641:Count data 572:Percentile 549:Dispersion 482:Arithmetic 417:Statistics 276:References 140:arithmetic 115:Properties 1948:Logistic 1715:posterior 1641:Rank sum 1389:Jackknife 1384:Bootstrap 1202:Bootstrap 1137:Parameter 1086:Statistic 881:Statistic 793:Run chart 778:Pie chart 773:Histogram 763:Fan chart 738:Bar chart 620:L-moments 507:Geometric 204:⋅ 170:⋅ 138:of their 2716:Category 2662:Category 2355:Survival 2232:Johansen 1955:Binomial 1910:Isotonic 1497:(normal) 1142:location 949:Blocking 904:Sampling 783:Q–Q plot 748:Box plot 730:Graphics 625:Skewness 615:Kurtosis 587:Variance 517:Heronian 512:Harmonic 356:(1980), 2688:Commons 2635:Kriging 2520:Process 2477:studies 2336:Wavelet 2169:General 1336:Plug-in 1130:L space 909:Cluster 610:Moments 428:Outline 255:pyramid 251:frustum 2557:Census 2147:Normal 2095:Manova 1915:Robust 1665:2-way 1657:1-way 1495:-test 1166:  743:Biplot 534:Median 527:Lehmer 469:Center 370:  316:  247:volume 2722:Means 2181:Trend 1710:prior 1652:anova 1541:-test 1515:-test 1507:-test 1414:Power 1359:Pivot 1152:shape 1147:scale 597:Shape 577:Range 522:Heinz 497:Cubic 433:Index 268:from 253:of a 249:of a 134:is a 121:means 2414:Test 1614:Sign 1466:Wald 539:Mode 477:Mean 368:ISBN 314:ISBN 259:cone 142:and 130:and 33:and 1594:BIC 1589:AIC 306:doi 257:or 2718:: 362:, 336:, 312:, 284:^ 146:: 111:. 1539:G 1513:F 1505:t 1493:Z 1212:V 1207:U 409:e 402:t 395:v 308:: 217:. 212:B 209:A 199:3 196:1 191:+ 186:2 182:B 179:+ 176:A 165:3 162:2 157:= 154:H 132:B 128:A 93:. 89:) 85:B 82:+ 77:B 74:A 69:+ 66:A 62:( 56:3 53:1 48:= 45:H 35:B 31:A 24:H

Index

real numbers
Hero of Alexandria
means
weighted mean
arithmetic
geometric means

volume
frustum
pyramid
cone
Moscow Mathematical Papyrus
Ancient Egyptian mathematics




Springer Science+Business Media
doi
10.1007/978-94-017-0399-4
ISBN
978-1-4020-1522-9
"Theorem 22"
Elements of Geometry, and Plane and Spherical Trigonometry, with Numerous Practical Problems
Eves, Howard Whitley
Great Moments in Mathematics (Before 1650)
Mathematical Association of America
ISBN
978-0-88385-310-8
v

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