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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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Frequency theory of probability, Bibl., Doerge (1934, 1936) 458 Frequency theory of probability, Bibl., von Mises (1931) 497 Frequency-distributions see "Distributions" Friedman, M., (Example 23.9) 214—215 Frisch, R., N.R. 358 Galton's problem see "Rank Correlation" Galton's problem, Bibl., Galton (1902) 464 Galton's problem, Bibl., Irwin (1925a) 470 Galton's problem, Bibl., K. Pearson (1902c) 484 Gamma distribution see "Type III" Gamma distribution, Bibl., Kibble (1941) 473 Garwood, F., confidence intervals for Poisson distribution 81 Gauss, K.F., N.R. 45 Gauss, K.F., standard errors 153 Gauss, K.F., variance of residuals 60—61 Gaussian distribution see "Normal Population" Geary's ratio, Bibl., Geary (1935a, b, 1936a) 464 Geary's ratio, Bibl., Tricomi (1937) 495 Geary, R.C., (Exercises 21.1, 21.2) 137—138 Geary, R.C., distribution of t 102—104 Geary, R.C., N.R. 45 136 Geary, R.C., test of normality 106 Geary, R.C., theorem on independence 118 General factor (intelligence) see "Factor Analysis" Generalised distance, of Mahalanobis, N.R. 359 Generating functions see "Characteristic Functions" Generating functions, Bibl., Aitken (1931) 442 Geometric Mean, Bibl., Camp (1938a) 450 Geometric Mean, Bibl., Norris (1938, 1940) 481 Germination of wheat-seeds, (Example 23.7) 207—209 Gini's mean difference 108 Girshik, M.R., (Exercise 28.11) 362 Girshik, M.R., N.R. 359 Glass, seed in, (Example 23.6) 202—204 Goodness of fit see "Chi-squared" Goodness of fit, Bibl., David (1939) 455 Goodness of fit, Bibl., K. Pearson (1934) 486 Goodness of fit, Bibl., Neyman (1937a) 480 Goodness of fit, Bibl., Thomson (1919a) 494 Goodness of fit, tests of 106—109 Gosset, W.S. ("Student") 80 266 Gosset, W.S., N.R. 394 Gould, C.E., (Example 23.6) 202—204 Goulden, C.H., N.R. 216 266 Grades see "Rank Correlation" "Galton's Graduation see "Interpolation" "Least "Orthogonal "Trend" Graduation, Bibl., Aitken (1933a, b, c) 442 Graduation, Bibl., Keyfitz (1938) 473 Graeco-Latin square 261—262 Graeco-Latin square, Bibl., R.C. Bose (1938b) 448 Gram — Charlier series, Bibl., Aitken (1932) 442 Gram — Charlier series, Bibl., Aitken and Oppenheim (1931) 442 Gram — Charlier series, Bibl., Aroian (1937) 444 Gram — Charlier series, Bibl., Baker (1930d, 1935) 444 Gram — Charlier series, Bibl., C.C. Craig (1931b) 454 Gram — Charlier series, Bibl., Charlier (1906, 1912, 1928, 1931) 451 Gram — Charlier series, Bibl., Cornish and Fisher (1937) 453 Gram — Charlier series, Bibl., Cramer (1926, 1935b) 454 Gram — Charlier series, Bibl., Doetsch (1934) 457 Gram — Charlier series, Bibl., Edgeworth (1905) 458 Gram — Charlier series, Bibl., Gram (1879) 465 Gram — Charlier series, Bibl., Hildebrandt (1931) 468 Gram — Charlier series, Bibl., Jacob (1933, 1935, 1937) 471 Gram — Charlier series, Bibl., Meisener (1938) 477 Gram — Charlier series, Bibl., Quensel (1938) 487 Gram — Charlier series, Bibl., Samuelson (1943) 490 Gram — Charlier series, Bibl., Schmidt (1934) 490 Gram — Charlier series, Bibl., Steffensen (1930) 492 Gram — Charlier series, Bibl., Wicksell (1917b, 1934a) 499 Gram — Charlier series, estimation in (Exercise 18.1) 61 Gram — Charlier series, for non-normal t 103 Gram — Charlier series, goodness of fit in 109 Gram — Charlier series, in z-distribution 116 Greenstein, B., N.R. 437 Grouping corrections, Bibl., Abernethy (1933) 442 Grouping corrections, Bibl., Alter (1939) 443 Grouping corrections, Bibl., Baton (1931) 445 Grouping corrections, Bibl., Bluemel, (1939) 447 Grouping corrections, Bibl., Burkhardt and Stackelberg (1939) 449 Grouping corrections, Bibl., C.C. Craig (1936c, 1941b) 454 Grouping corrections, Bibl., Carver (1933, 1936) 451 Grouping corrections, Bibl., Elderton (1933, 1938b) 459 Grouping corrections, Bibl., Kendall (1938a) 472 Grouping corrections, Bibl., Lewis (1935) 475 Grouping corrections, Bibl., Sandon (1924) 490 Grouping, effect on correlations, Bibl., Gehlke and Biehl (1934) 464 Grouping, significance of, Bibl., Stevens (1937b) 493 Groups of experiments, Bibl., Yates and Cochran (1938b) 502 Hampton, W.M., (Example 23.6) 202—204 Hansmann, G.H., N.R. 45 Harmonic analysis see "Periodicity" Harmonic analysis, Bibl., Brunt (1928) 449 Harmonic analysis, Bibl., Carslaw (1930) 451 Harmonic analysis, Bibl., Fisher (1929a) 461 Harmonic analysis, Bibl., Fisher (1940a) 462 Harmonic analysis, Bibl., Frisch (1928, 1931, 1933) 463 Harmonic analysis, Bibl., Pollak (1926) 487 Harmonic analysis, Bibl., T.F. Anderson (1935) 443 Harmonic analysis, Bibl., Turner (1913) 496 Harmonic analysis, Bibl., Wiener (1930) 499 Harmonic mean see "Mean Values" Harmonic mean, Bibl., Norris (1939) 481 Hartley, H.O., k samples 299 Hartley, H.O., N.R. 137 216 304 Hartley, H.O., on z-test 199 Heads and tails see "Duration of Play" Heads and tails, Bibl., Fieller (1931c) 460 Hendricks, W.A., (Exercise 21.9) 139 Hendricks, W.A., N.R. 136 Hermite polynomials see "Tchebycheff — Hermite Polynomials" Heterogeneous populations see also "Lexis Theory" "Stratified Heterogeneous populations, Bibl., Baker (1930c, 1932) 444 Hierarchies in correlation see "Factor Analysis" Hierarchies in correlation, Bibl., Thomson (1916, 1919b, 1935) 494 Hierarchies in correlation, Bibl., Wilson (1928) 500 Higham, J.A., (Exercise 29.7) 395 Highest audible pitch, (Example 22.4) 152—153 Highest audible pitch, (Example 22.5) 155—156 Hirschfeld, H.O. see "Hartley H.O." Homogeneity see "k samples" Homogeneity, Bibl., Baker (1941) 444 Homogeneity, Bibl., Hartley (1940) 467 Homogeneity, Bibl., Welch (1938a) 498 Horse population and wheat prices 436 Hotelling's T 323 335—338 Hotelling's T, Bibl., Hotelling (1931) 469 Hotelling's T, Bibl., P.L. Hsu (1938c) 469 Hotelling's T, N.R. 359 Hotelling, H., (Exercises 28.7—28.10) 360—362 Hotelling, H., canonical correlations 348—358 Hotelling, H., N.R. 45 136 359 Hsu P.L., canonical correlations 357 Hsu P.L., linear hypothesis 301 Hsu P.L., N.R. 304 359 Hsu P.L., Wishart's distribution 333 Hypergeometric series, Bibl., Ayyangar (1934) 444 Hypergeometric series, Bibl., Camp (1925a) 450 Hypergeometric series, Bibl., Gonin (1936) 465 Hypergeometric series, Bibl., K. Pearson (1899b) 483 Hypergeometric series, Bibl., K. Pearson (1924b, c) 485 Hypergeometric series, Bibl., O.L. Davies (1933, 1934) 455 Hypergeometric series, Bibl., Romanovsky (1925b) 489 Hypotheses, testing of see "Statistical Hypotheses" Imaginary random variables, Bibl., Eyraud (1938b) 459 Immunity, Bibl., Brownlee (1905) 449 Incomes, distribution of, Bibl., Cantelli (1929) 450 Incomes, distribution of, Bibl., Darmois (1933) 455 Incomplete blocks see "Blocks" Independence, of quadratic forms, Bibl., A.T. Craig (1936a, 1943) 453 Independence, of quadratic forms, Bibl., Cochran (1934) 452 Independence, of quadratic forms, Bibl., Madow (1940) 476 Independence, statistical see also "Correlation" "Contingency" Independence, statistical, Bibl., del Vecchio (1933) 456 Independence, statistical, Bibl., Kac and van Kampen (1939) 472 Independence, statistical, Bibl., Marcinkiewicz and Zygmund (1937) 477 Independence, statistical, Bibl., Tschuprow (1934) 496 Index numbers, Bibl., Bowley (1926) 448 Index numbers, Bibl., Claremont (1916) 452 Index numbers, Bibl., Crowther (1934) 454 Index numbers, Bibl., Dodd (1937c) 457 Index numbers, Bibl., Edgeworth (1925a, b, c) 459 Index numbers, Bibl., Flux (1921, 1933) 463 Index numbers, Bibl., Frickey (1937) 463 Index numbers, Bibl., Frisch (1930) 463 Index numbers, Bibl., Haberler (1927) 467 Index numbers, Bibl., I. Fisher (1922) 460 Index numbers, Bibl., Konoes (1939) 474 Index numbers, Bibl., Persons (1928) 486 Index numbers, Bibl., Rhodes (1936) 488 Index numbers, Bibl., Schultz (1939) 490 Index numbers, Bibl., Yates (1939c) 502 Index, distribution of see "Ratio" Indices, correlation of, Bibl., Baker (1937) 444 Indices, correlation of, Bibl., Claremont (1916) 452 Indices, correlation of, Bibl., J.W. Brown and others (1914) 449 Industrial accidents, Bibl., Newbold (1927) 479 Industrial processes see "Quality Control" Inequalities, Bibl., C.D. Smith (1930) 491 Inequalities, Bibl., Mortara (1934) 478 Inequalities, Bibl., Narurni (1923b) 479 Inequalities, Bibl., Norris (1935, 1937) 481 Inequalities, Bibl., Romanovsky (1938) 489 Inequalities, Bibl., Shohat (1929) 491 Inequalities, Bibl., von Mises (1939b) 497 Inequalities, Bibl., Wald (1938) 497 Infantile mortality, Bibl., Fold (1924) 460 Infection in potatoes, (Example 24.5) 230—232 Infection in potatoes, (Example 24.6) 232—233 Inference see "Statistical Hypotheses" Information, amount of 29—30 Information, Bibl., Bartlett (1936a, b) 445 Information, Bibl., Fisher (1934b, 1935a) 462 Information, in minimum 57—58 Information, loss of 30—32 Intensity, of a periodogram 425 Interaction, in variance-analysis 187 188—189 Interference, analysis of, Bibl., Stevens (1936) 493 Interpolation see also "Graduation" "Least "Orthogonal Interpolation, Bibl., Comrio (1936) 452 Interpolation, Bibl., Erdoes and Turan (1937, 1938) 459 Interpolation, Bibl., Feldheim (1936a) 460 Interpolation, Bibl., Fisher and Wishart (1927) 461 Interpolation, Bibl., Gini (1921) 465 Interpolation, Bibl., Lidstone (1937) 476 Interpolation, Bibl., Pietra (1932b) 486 Interpolation, Bibl., Salvemini (1934) 490 Interpolation, Bibl., Simaika (1942) 491 Interpolation, Bibl., Tchebycheff (1907) 494 Intra-class correlation 181 Intra-class correlation, Bibl., Harris (1914) 467 Intra-class correlation, Bibl., Harris and Gunstad (1931) 467 Intrinsic accuracy, in estimation 28—29 Invariants of frequency curves, Bibl., Zoch (1934) 503 Inverse probability, Bibl., Bayes (1763) 446 Inverse probability, Bibl., Fisher (1926c, 1930a) 461 Inverse probability, Bibl., Fisher (1932, 1935a) 462 Inverse probability, Bibl., Isserlis (1936) 471 Inverse probability, Bibl., Jeffreys (1937b) 471 Inverse probability, Bibl., Tornier (1937) 495 Inverse probability, Bibl., Wisniewski (1937b) 501 Inverse probability, in estimation 58—59 Inverse probability, relationship with fiducial inference 90—91 93—94 Iris (flower), (Example 28.2) 342—344 Irregular Kollektiv 123 see Irwin, J.O., (Exercise 23.1) 216—217 Irwin, J.O., N.R. 216 Irwin, J.O., sampling moments 440 Item analysis, Bibl., Merril (1937) 478 iterations see "Runs" J-shaped distributions, Bibl., Elderton (1933) 459 J-shaped distributions, Bibl., Solomon (1939) 492 Jackson, W.R., N.R. 304 Jeffreys, H., (Example 18.5) 56—57 Jeffreys, H., fiducial inference 90—91 93—94 Jeffreys, H., N.R. 61 94 266 Jensen, A., N.R. 266 Joint sufficiency 39 Judgments, validity of, Bibl., Eysenck (1939) 459 k samples see "L-tests" k samples, (Exercise 27.2) 326 k samples, bias in 323 k samples, Bibl., Bartlett (1934a) 445 k samples, Bibl., Bishop (1939) 447 k samples, Bibl., Bishop and Nair (1939) 447 k samples, Bibl., G.W. Brown (1939) 449 k samples, Bibl., Keyman and Pearson (1931b) 480 k samples, Bibl., Pearson and Wilks (1933b) 482 k samples, Bibl., R.C. Bose and Roy (1940) 448 k samples, Bibl., Sukhatme (1936b) 493 k samples, Bibl., Sukhatme (1937b) 494 k samples, Bibl., Welch (1935) 498 k samples, Bibl., Wilks (1935b) 499 k samples, problem of 119—122 295—299 k-statistics see also "Moments sampling" k-statistics, Bibl., C.T. Hsu and Lawley (1939) 469 k-statistics, Bibl., Fisher (1929b) 461 k-statistics, Bibl., Fisher and Wishart (1931) 462 k-statistics, Bibl., Kendall (1940) 472 k-statistics, Bibl., Kendall (1942b) 473 k-statistics, Bibl., Wishart (1929a, b, 1930, 1933b) 500 Kelley, T.L., (Example 28.4) 351—352 Kermack, W.O., N.R. 136 Keynes, Lord, (Exercise 17.7) 47 Kolmogoroff, A., confidence intervals for terminals 83 Kolodzieczyk, St., linear hypothesis 293 Kolodzieczyk, St., N.R. 304 Koopman, B.O., (Exercises 17.13, 17.14) 48 Koopman, B.O., N.R. 45 Koshal, R., N.R. 45 Kronecker delta 329 Kurtic curve 142 Kurtosis, Bibl., Frisch (1934a) 464 L-tests see "k samples" L-tests, Bibl., Mahalanobis (1933) 476 L-tests, Bibl., Mood (1939) 478 L-tests, Bibl., Nayer (1936) 479 L-tests, Bibl., Paulson (1941) 482 L-tests, Bibl., Welch (1936a) 498 L-tests, Bibl., Wilks and Thompson (1937a) 499 Lag correlation 435—436 Lags, distributed, Bibl., Alt (1942) 443 Lags, distributed, Bibl., K.R. Nair (1936) 479 Lags, distributed, Bibl., Koopmans (1941) 474 Lags, distributed, Bibl., Zrzavy (1933) 503 Lanarkshire milk investigation, N.R. 266 Large numbers, law of see "Convergence in Probability" Largest member of a sample see "Extremes" Largest member of a set of variances see "Variance ratio" Latent roots of a matrix see "Matrix" Latin squares 257—262 266 Latin squares, Bibl., Euler (1782) 459 Latin squares, Bibl., Fisher (1942d, e) 462 Latin squares, Bibl., Fisher and Yates (1934c) 462 Latin squares, Bibl., H. Norton (1939) 481 Latin squares, Bibl., Mann (1943) 477 Latin squares, Bibl., R.C. Bose (1938b) 448 Latin squares, Bibl., R.C. Bose and Nair (1942b) 448 Latin squares, Bibl., Stevens (1938b) 493 Latin squares, Bibl., Welch (1937) 498 Latin squares, Bibl., Yates (1933c) 501
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