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Kendall M.G. — The advanced theory of statistics (vol. 2)
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Название: The advanced theory of statistics (vol. 2)Автор: Kendall M.G. Аннотация: This volume falls into five sections. The first, comprising chapters 17 to 20, deals with Estimation. The second, comprising chapters 21, 23, 24 and 26 to 28, covers the Theory of Statistical Tests, including the Analysis of Variance and Multivariate Analysis. The third, consisting of chapter 22, deals with Regression Analysis and completes the account of statistical relationship begun in chapters 13 to 16 of Volume I. In the fourth, chapter 25, I have tried to give an introductory account of the reaction of theoretical considerations on the Design of Statistical Inquiries. Finally, the fifth, comprising chapters 29 and 30, deals with the Analysis of Time-Series.
Язык: Рубрика: Математика /Вероятность /Статистика и приложения /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 1946Количество страниц: 521Добавлена в каталог: 04.06.2005Операции: Положить на полку |
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Latin squares, Bibl., Yates (1936a) 502 Lattices, distributions on, van Kampen and Wintner (1939b) 496 Lawley, D.N., N.R. 359 Least squares, Bibl., Adcock (1878) 442 Least squares, Bibl., Aitken (1933a, b, c, 1935a) 442—443 Least squares, Bibl., David and Neyman (1938c) 455 Least squares, Bibl., Davis (1933) 455 Least squares, Bibl., Deming (1931, 1934, 1935, 1937) 456 Least squares, Bibl., E. Johnson (1940) 471 Least squares, Bibl., Hendricks (1931, 1934) 468 Least squares, Bibl., Jones (1937a) 472 Least squares, Bibl., Jordan (1932, 1934) 472 Least squares, Bibl., Kerrich (1937) 473 Least squares, Bibl., Sheffer (1935) 491 Least squares, Bibl., Sheppard (1914, 1929) 491 Least squares, Bibl., Sterne (1934) 493 Least squares, Bibl., Wisniewski (1937a) 501 Least squares, Bibl., Wong (1935) 501 Least squares, in estimation 59 Least squares, in regression analysis 145 Least squares, in time-series 371 Lexis theory, Bibl., Geiringer (1942) 465 Lexis theory, Bibl., Rider (1934) 488 Lexis theory, Bibl., Tschuprow (1918, 1919a) 495 Lexis theory, Bibl., von Bortkiewicz (1931) 497 Lexis, W., N.R. 216 Lexis, W., ratio 119 Life, expectation of, etc., Bibl., Brownlee and Morison (1911) 449 Life, expectation of, etc., Bibl., Dublin and others (1935) 458 Life, expectation of, etc., Bibl., Greenwood (1922) 466 Life, expectation of, etc., Bibl., Gumbel (1924, 1925, 1932) 466 Life, expectation of, etc., Bibl., Seal (1940) 490 Life, expectation of, etc., Bibl., Wilson (1938) 500 Likelihood, Bibl., Fisher (1932, 1934a, b) 462 Likelihood, Bibl., Wilks (1935a) 499 Likelihood, in estimation see "Maximum Likelihood" Likelihood, in testing hypotheses 277—280 295—302 323—326 Likelihood-ratio tests, Bibl. see "L-tests" Likelihood-ratio tests, Bibl., Daly (1940) 454 Likelihood-ratio tests, Bibl., Neyman and Pearson (1933c) 480 Likelihood-ratio tests, Bibl., Wilks (1938a) 499 Likelihood-ratio tests, Bibl., Wilks and Thompson (1937a) 499 Limiting form of significance tests 322 Limiting form of significance tests, Bibl., Peiser (1943) 486 Linear equations subject to error, Bibl., Lonseth (1942) 476 Linear hypotheses 292—295 300—302 Linear hypotheses, Bibl., Johnson and Neyman (1936) 472 Linear hypotheses, Bibl., Kolodzieczyk (1935) 474 Linearity of regression see "Regression" Link-relatives see "Index Numbers" Link-relatives, Bibl., Robb (1930) 489 Linkage, Bibl., Finney (1940, 1941, 1942) 460 Linkage, Bibl., N.L. Johnson (1940b) 472 Live births, proportion of males among, (Example 21.8) 120 Location, Bibl., Pitman (1939a, b) 486 Location, centre of 41 Location, estimation of parameters of 40—42 Location, Pitman s tests of 323—326 Logarithmic variate, Bibl., Finney (1941b) 460 Logarithmic variate, Bibl., Jenkins (1932) 471 Logarithmic variate, Bibl., Nydell (1919) 481 Logarithmic variate, Bibl., Pae-Tsi Yuan (1933) 481 Logarithmic variate, Bibl., Quensel (1936) 487 Logarithmic variate, Bibl., Wicksell (1917a) 499 Logarithmic variate, Bibl., Williams (1937) 500 Loss of information, in estimation 30—32 Loss of weight in soil, (Example 22.3) 149—152 Loss of weight in soil, (Example 22.6) 158 m rankings, Bibl., Friedman (1937, 1940) 463 m rankings, Bibl., Kendall and Babington Smith (1939b) 472 m rankings, problem of, (Example 23.9) 214—215 Macaulay, F.R., (Exercise 29.4) 395 Macaulay, F.R., N.R. 394 Macaulay, F.R., Stevens (1939a) 493 MacStewart, W., N.R. 304 Madow, W.G., N.R. 359 Magnetic declination, Bibl., Schuster (1899) 490 Magnitude, random division of, Bibl., Fisher (1940a) 462 Mahalanobis, P.C., N.R. 303 304 359 Males, marriages of, (Example 21.9) 121—122 Males, proportion in births, (Example 21.8) 120 Markoff process (Markoff chains), Bibl., Doeblin (1936, 1937) 457 Markoff process (Markoff chains), Bibl., Elfving (1937, 1938) 459 Markoff process (Markoff chains), Bibl., Feldheim (1936b) 460 Markoff process (Markoff chains), Bibl., Fortet (1935-8) 463 Markoff process (Markoff chains), Bibl., Frechet (1935, 1936b, 1937a) 463 Markoff process (Markoff chains), Bibl., Geiringer (1938) 464 Markoff process (Markoff chains), Bibl., Hadamard and Frechet (1933) 467 Markoff process (Markoff chains), Bibl., Hostinsky (1937) 469 Markoff process (Markoff chains), Bibl., Kolmogoroff (1937b) 473 Markoff process (Markoff chains), Bibl., Levy (1935b, 1936c) 475 Markoff process (Markoff chains), Bibl., Markoff (1912) 477 Markoff process (Markoff chains), Bibl., Mihoc (1934) 478 Markoff process (Markoff chains), Bibl., Onicescu and Mihoc (1935—9) 481 Markoff process (Markoff chains), Bibl., Romanovsky (1936a) 489 Markoff process (Markoff chains), Bibl., Scukarev (1932) 490 Markoff, A.A., theorem on least squares, (Exercise 25.5) 267 Marriage rate in England and Wales, (Example 30.3, Table 30.5, Figure 30.4) 408—409 Marriage rate in England and Wales, (Table 30.2) 397 Marriage, males according to age at, (Example. 21.9) 121—122 Martin, E.S., N.R. 359 Mass production see "Quality Control" Matching problems, Bibl., Battin (1942) 446 Matching problems, Bibl., D.W. Chapman (1935) 451 Matching problems, Bibl., Greville (1938, 1941) 466 Matching problems, Bibl., J.A. Greenwood (1938) 465 Matching problems, Bibl., J.A. Greenwood (1940) 466 Matching problems, Bibl., Olds (1938a) 481 Matching problems, Bibl., Vernon (1936) 496 Matching problems, Bibl., Wilks (1932c) 499 Mathematical Tripos, distribution of women obtaining firsts in, (Example 18.5) 56—57 Matrix, arithmetic of, Bybl., Aitken (1937a, b, 1938) 443 Matrix, arithmetic of, Bybl., Bingham (1941) 447 Matrix, arithmetic of, Bybl., Dwyer (1941a, b) 458 Matrix, arithmetic of, Bybl., Hotelling (1943) 469 Maximum likelihood estimators 12—49 Maximum likelihood estimators for several parameters 34—49 Maximum likelihood estimators, Bibl., Carlson (1932) 451 Maximum likelihood estimators, Bibl., E.S. Pearson (1937a) 483 Maximum likelihood estimators, Bibl., Fisher (1912, 1921a, 1925b, 1928c) 461 Maximum likelihood estimators, Bibl., Fisher (1932, 1934a) 462 Maximum likelihood estimators, Bibl., Hotelling (1930) 469 Maximum likelihood estimators, Bibl., Jeffreys (1938b, 1938c) 471 Maximum likelihood estimators, Bibl., K. Pearson (1936) 486 Maximum likelihood estimators, Bibl., Koshal (1933, 1935, 1939) 474 Maximum likelihood estimators, Bibl., Myers (1934) 479 Maximum likelihood estimators, Bibl., Welch (1939c) 499 Maximum likelihood estimators, consistence 13—15 Maximum likelihood estimators, efficiency of 18—19 Maximum likelihood estimators, normality 15—17 Maximum likelihood estimators, relation with minimum variance 53 Maximum likelihood estimators, relation with minimum variance and with confidence intervals 73—74 Maximum likelihood estimators, sufficiency 19—20 Maximum likelihood estimators, variance and covariance of 36—37 Maximum likelihood estimators, variance of 17—18 McKendrick, A.G., N.R. 136 Mean deviation, distribution of m.d., Bibl., Fisher (1920) 461 Mean deviation, distribution of m.d., Bibl., Frechet (1936a) 463 Mean deviation, distribution of m.d., Bibl., Tricomi (1936b, 1937) 495 Mean deviation, in testing normality (Geary's ratio) 106 Mean difference 108 Mean difference, Bibl., Cantelli (1913) 450 Mean difference, Bibl., de Finetti (1931) 455 Mean difference, Bibl., de Finetti and Paciello (1930b) 455 Mean difference, Bibl., U.S. Nair (1936) 479 Mean difference, Bibl., Wold (1935) 501 Mean values, Bibl., A.T. Craig (1936b) 453 Mean values, Bibl., Aumann (1934—5) 444 Mean values, Bibl., Bunak (1936) 449 Mean values, Bibl., Dodd (1934, 1937a, b, c, 1938) 457 Mean values, Bibl., Doodson (1917) 458 Mean values, Bibl., Dressel (1941) 458 Mean values, Bibl., Norris (1935, 1937) 481 Mean values, Bibl., Wertheimer (1937) 499 Mean values, Bibl., Yasukawa (1925) 501 Mean values, Bibl., Zoch (1935, 1937) 503 Mean, arithmetic, (Example 17.6) sufficient estimator for 11 Mean, arithmetic, (Example 17.7) 19—20 Mean, arithmetic, (Examples 27.1, 27.2) 311—312 Mean, arithmetic, estimation of 2 Mean, arithmetic, most general distribution for which it is estimator (Example 17.10) 22 Mean, arithmetic, significance of 98—100 Mean-square contingency see "Contingency" Mean-square successive difference, Bibl., Hart (1942) 467 Mean-square successive difference, Bibl., J.D. Williams (1941) 500 Mean-square successive difference, Bibl., von Neumann and others (1941a, b) 497 Means, distribution of see also "Central Limit Theorem" "Mean Means, distribution of, Bibl., A.T. Craig (1932) 453 Means, distribution of, Bibl., Baker (1930d, 1931, 1932, 1936, 1940) 444 Means, distribution of, Bibl., Behrens (1929) 446 Means, distribution of, Bibl., Carlson (1932) 451 Means, distribution of, Bibl., Cochran (1937a) 452 Means, distribution of, Bibl., Dodd (1926—7) 456 Means, distribution of, Bibl., Dunlap (1931) 458 Means, distribution of, Bibl., Hail (1927b) 467 Means, distribution of, Bibl., Holzinger and Church (1929) 469 Means, distribution of, Bibl., Immer (1937) 470 Means, distribution of, Bibl., Irwin (1927, 1929, a, 1930) 470 Means, distribution of, Bibl., Isserlis (1918a) 470 Means, distribution of, Bibl., Jeffreys (1940) 471 Means, distribution of, Bibl., Kolmogoroff (1929) 473 Means, distribution of, Bibl., Pizzetti (1939) 487 Means, distribution of, Bibl., Pollard (1934) 487 Means, distribution of, Bibl., R.C. Bose (1938a) 448 Means, distribution of, Bibl., Rhodes (1927) 488 Means, distribution of, Bibl., Romanovsky (1929) 489 Means, distribution of, Bibl., Simon (1943) 491 Means, distribution of, Bibl., Truksa (1940) 495 Means, test of difference see "Difference" Means, test of difference, in multivariate analysis 338—341 Median, as estimator 5 Median, Bibl., Cisbani (1938) 452 Median, Bibl., Doodson (1917) 458 Median, Bibl., Gini (1938) 465 Median, Bibl., Gini and Galvani (1929) 465 Median, Bibl., Gini and Zappa (1938) 465 Median, Bibl., Gulotta (1938) 466 Median, Bibl., Haldane (1942b) 467 Median, Bibl., Hojo (1931, 1933) 469 Median, Bibl., Jackson (1921) 471 Median, Bibl., K. Pearson (1931b) 486 Median, Bibl., K.R. Nair (1940b) 479 Median, Bibl., Pollard (1934) 487 Median, Bibl., Savur (1937a) 490 Median, Bibl., Ville (1936c) 496 Median, Bibl., W.R. Thompson (1936) 494 Median, confidence intervals for, (Exercise 19.5) 84 Migration see "Random Migration" Minimum 55—58 Minimum variance, in estimation 50—55 Minimum variance, of maximum likelihood estimators 18—19 Missing plot technique 229—233 Missing plot technique, Bibl., Allan and Wishart (1930) 443 Missing plot technique, Bibl., Cornish (1940a, b) 453 Missing plot technique, Bibl., K.R. Nair (1940a) 479 Missing plot technique, Bibl., Yates (1933b) 501 Missing plot technique, Bibl., Yates and Hale (1939b) 502 Mode, Bibl., Doodson (1917) 458 Mode, Bibl., Haldane (1942b) 467 Mode, Bibl., K. Pearson (1902b) 484 Mode, Bibl., Yasukawa (1926) 501 Moment-function see "Characteristic Functions" "Generating Moment-function, Bibl., U.S. Nair (1939) 479 Moments of distributions (specification) see "Curve Fitting" Moments of distributions (specification), Bibl., Cornish and Fisher (1937) 453 Moments of distributions (specification), Bibl., Fisher (1937a) 462 Moments of distributions (specification), Bibl., K. Pearson (1936) 486 Moments of distributions (specification), Bibl., O'Toole (1933) 481 Moments of distributions (specification), Bibl., Pearl (1937) 482 Moments of distributions (specification), Bibl., R. Henderson (1907) 468 Moments of distributions (specification), Bibl., Romanovsky (1936b) 489 Moments of distributions (specification), Bibl., von Mises (1937) 497 Moments, efficiency of 43—44 Moments, problem of, Bibl., Boedewadt (1936) 447 Moments, problem of, Bibl., Broggi (1934) 449 Moments, problem of, Bibl., Chlodovsky (1938) 451 Moments, problem of, Bibl., Hamburger (1920, 1921) 467 Moments, problem of, Bibl., Haussdorf (1923) 468 Moments, problem of, Bibl., Haviland (1935, 1936) 468 Moments, problem of, Bibl., Marcinkiewicz (1939) 477 Moments, problem of, Bibl., Polya (1920, 1938a) 487 Moments, problem of, Bibl., Stekloff (1914) 492 Moments, problem of, Bibl., Stieltjes (1918) 493 Moments, problem of, Bibl., Widder (1934) 499 Moments, sampling see also "k-statistics" Moments, sampling, Bibl., Bernstein (1932) 446 Moments, sampling, Bibl., C.C. Craig (1928) 453 Moments, sampling, Bibl., C.C. Craig (1940) 454 Moments, sampling, Bibl., Dwyer (1937a, 1938, 1940) 458 Moments, sampling, Bibl., Fisher (1929b) 461 Moments, sampling, Bibl., Fisher and Wishart (1931) 462 Moments, sampling, Bibl., Geary (1933) 464 Moments, sampling, Bibl., Irwin and Kendall (1944) 470 Moments, sampling, Bibl., Isserlis (1918b, c, 1931) 470 Moments, sampling, Bibl., St. Georgescu (1932) 493 Moments, sampling, Bibl., Sukhatme (1938c, 1944) 494 Moments, sampling, Bibl., Tschuprow (1918b, 1921, 1923) 495 Moments, sampling, Bibl., Wilks (1934, 1936) 499 Moments, sampling, Bibl., Wishart (1929a, b, 1930, 1931a, b, 1933b) 500 Moments, sampling, Bibl., Wishart and Bartlett (1932b) 500 Moments, sampling, Bibl., Ziaud-din (1938) 503 Monotonic functions, in distribution theory, Bibl., Bochner (1937) 447 Mood, A.M., N.R. 304 Moore, G., N.R. 136 Moore, G., phases in time-series 126 Morant, G., N.R. 394 Morgan, W.A., N.E. 137 Mortality see "Life" Most-efficient estimator 6 10 18—19 Most-selective confidence intervals 75 82 Moths, effect of weather on, (Example 22.10) 171—172 moving averages 372—387 399 Moving averages, Bibl., Dodd (1939a, 1941a, b) 457 Moving averages, Bibl., Frisch (1938) 464 Moving averages, Bibl., Wold (1938b) 501 mth values, Bibl., Gumbel (1934, 1935a, 1939) 466 Multinomial distribution, Bibl., Kullback (1937) 474 Multinomial distribution, Bibl., Lurquin (1937) 476 Multiple correlation, Bibl., Bacon (1938) 444 Multiple correlation, Bibl., Fisher (1928b) 461 Multiple correlation, Bibl., Hall (1927a) 467 Multiple correlation, Bibl., K. Pearson (1916d) 485 Multiple correlation, Bibl., K. Pearson and Lee (1908) 484 Multiple correlation, Bibl., K. Pearson and Young (1918) 485 Multiple correlation, Bibl., Kelley and McNemar (1929) 472 Multiple correlation, Bibl., Kullback (1936c) 474 Multiple correlation, Bibl., R.C. Bose (1934) 447 Multiple correlation, Bibl., Soper (1929a) 492 Multiple correlation, Bibl., Starkey (1939) 492 Multiple correlation, Bibl., Tappan (1927) 494 Multiple correlation, Bibl., Wilks (1932b) 499 Multiple correlation, Bibl., Wishart (1931b) 500 Multiple correlation, Bibl., Wong (1937) 501 Multiple curvilinear regression 167 236 see Multiple happenings see "Poisson Distribution" "Polya Multiple happenings, Bibl., Greenwood and Yule (1920) 466 Multiple happenings, Bibl., K. Pearson (1926b, 1913) 484 Multivariate analysis 328—362 Multivariate analysis, Bibl., Bartlett (1939b, 1941) 445 Multivariate analysis, Bibl., Bishop (1939) 447
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