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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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Davis, H.T., N.R. 394 437 Davis, H.T., time-series 433 434 Day, E.E., N.R. 245 De Lury, D., N.R. 137 Death rates, Bibl., Farr (1919, 1920) 460 Death rates, Bibl., Pearson and Tocher (1916c) 485 Decomposition of series see also "Time-series" Decomposition of series, Bibl., Anderson (1927) 443 Decomposition of series, Bibl., Smirnoff (1935) 491 Decreasing functions, Bibl., C.D. Smith (1939) 491 Degrees of freedom, of "Student's " t 102 Degrees of freedom, of hypotheses 270 Denumerable probabilities, Bibl., Steinhaus (1923) 492 Dependence see "Independence" "Correlation" Derkson, J.B.D., on stochastic convergence 440 Design see also "Blocks" "Factorial "Latin Design of sampling inquiries 247—268 Design, Bibl., "Student" (1938) 493 Design, Bibl., Bhattacharya (1943) 446 Design, Bibl., Christidis (1931) 451 Design, Bibl., Fisher (1935c) 462 Design, Bibl., Jeffreys (1939e) 471 Design, Bibl., Wold (1943) 498 Design, Bibl., Yates (1939e) 502 Design, confounding 262 Design, design and randomisation 263—266 Design, design of experiments 252—254 Design, Latin squares 257—262 Design, orthogonality 254 Design, preliminary points 248—249 Design, randomisation 255—256 design, replication 255 Design, sensitivity of a test 256—257 Design, stratified sampling 249—252 Determinantal equations see also "Matrix" Determinantal equations, Bibl., Girshik (1939) 465 Deviance, footnote 178 Difference, equations see also "Auto-regression Equations" Difference, equations, Bibl., Frisch (1932) 463 Difference, equations, Bibl., Marples (1932) 477 Difference, of two means see also "Behrens' Test" "Two Difference, of two means, test of (equal variances) 109—111 Difference, of two means, test of (unequal variances) 111—114 Difference, of two variances 115—116 Differences of variates, Bibl., Irwin (1937a) 470 Dilution method, Bibl., Matuzewski and others (1935) 477 Dilution method, Bibl., R.D. Gordon (1939) 465 Dirichlet integrals 298 Discontinuous variates, Bibl., dell' Agnola (1937) 456 Discontinuous variates, Bibl., Guldberg (1934) 466 Discontinuous variates, Bibl., H.W. Norton (1937) 481 Discontinuous variates, Bibl., Muench (1938) 478 Discontinuous variates, Bibl., Ottestad (1937, 1938) 481 Discordant samples 128 Discriminatory analysis see also "Multivariate Analysis" Discriminatory analysis, Bibl., Barnard (1935) 444 Discriminatory analysis, Bibl., Bartlett (1939c) 445 Discriminatory analysis, Bibl., Dwyer (1942) 458 Discriminatory analysis, Bibl., Fisher (1936a, 1938c, 1939b, 1940d) 462 Discriminatory analysis, Bibl., H.F. Smith (1936) 492 Discriminatory analysis, Bibl., P.L. Hsu (1939b, 1941a, 1941c) 469 Discriminatory analysis, Bibl., Travers (1939) 495 Discriminatory analysis, Bibl., Wallace and Travers (1938) 498 Discriminatory analysis, Bibl., Welch (1939b) 498 Discriminatory analysis, Bibl., Wilks (1938d) 500 Discriminatory analysis, discriminant function 341—348 dispersion see "Variance" Dispersion matrix 330 341 Dispersion, Bibl., Norris (1938) 481 Dispersion, N.R. 358 Dissection of frequency-distributions, Bibl., Burrau (1934) 450 Distributed lags see "Lags" Distributions, generally, Bibl., Ambarzumian (1937) 443 Distributions, generally, Bibl., Baten (1933a) 445 Distributions, generally, Bibl., Baten (1934) 446 Distributions, generally, Bibl., Bispham (1922) 447 Distributions, generally, Bibl., Bochner (1937) 447 Distributions, generally, Bibl., Bochner and Jessen (1934) 447 Distributions, generally, Bibl., Bowley (1933) 448 Distributions, generally, Bibl., Burr (1942) 450 Distributions, generally, Bibl., Camp (1937) 450 Distributions, generally, Bibl., Cannon and Wintner (1935) 450 Distributions, generally, Bibl., Chapelin (1932) 451 Distributions, generally, Bibl., Cramer and Wold (1936) 454 Distributions, generally, Bibl., Edgett (1931) 458 Distributions, generally, Bibl., Eyraud (1938a) 459 Distributions, generally, Bibl., Glivenko (1933) 465 Distributions, generally, Bibl., Guldberg (1935) 466 Distributions, generally, Bibl., Hansmann (1934) 467 Distributions, generally, Bibl., Hartman and others (1937) 467 Distributions, generally, Bibl., Hartman and others (1939) 468 Distributions, generally, Bibl., Haviland (1934a, b, 1935, 1939) 468 Distributions, generally, Bibl., Jessen and Wintner (1935) 471 Distributions, generally, Bibl., K. Pearson (1923c, 1924a) 485 Distributions, generally, Bibl., Khintchine (1937a) 473 Distributions, generally, Bibl., Kullback (1936b) 474 Distributions, generally, Bibl., Mazzoni (1934) 477 Distributions, generally, Bibl., R. Henderson (1907) 468 Distributions, generally, Bibl., R. Schmidt (1934) 490 Distributions, generally, Bibl., von Mises (1939a) 497 Dodd, E.L., N.R. 394 Dodd, E.L., period generated by moving average 384 Doob, J., N.R. 45 Dosage-mortality, Bibl., Garwood (1941) 464 Dosage-response, Bibl., Irwin and Cheeseman (1939) 470 Dugue, D., N.R. 45 Duration of play, Bibl., de Finetti (1939b) 456 Duration of play, Bibl., Fieller (1931a) 460 Eden, T., (Example 23.8) 214 Eden, T., N.R. 216 Eden, T., on Fisher's distribution 206 Edgeworth, F.Y., N.R. 45 Edwards, J., Integral Calculus, footnotes 44 50 Efficiency, of estimators 5—7 Efficiency, of estimators, of moments in fitting Pearson curves 43—44 Efficiency, of estimators, of sampling, Bibl., Yates and Zacopanay (1935c) 502 Efficiency, of maximum likelihood estimators 18—19 Egg-production, in laying hens, (Table 29.5, Figure 29.5) 368 Egyptian skulls, (Example 28.3) 345—348 Elasticity of demand, Bibl., Mosak (1939) 478 Elasticity of demand, Bibl., Schultz (1933) 490 Elderton, E.M., (Example 21.14) 133 Elderton, E.M., N.R. 266 Elderton, Sir William P., N.R. 45. Electric lamps, testing of, (Example 23.1) 179—180 Elimination of variates, in regression analysis 167—170 Enumeration in sampling, Bibl., Cochran (1939b) 452 Equidetectability, curves of 318 Equimodal distributions, Bibl., Mouzon (1930) 478 Error, in variance-analysis 187 Errors, (Exercise 26.5) 305 Errors, general theory of see also "Least Squares" Errors, general theory of, Bibl., Brelot (1936, 1937) 449 Errors, general theory of, Bibl., Campbell (1935) 450 Errors, general theory of, Bibl., Cramer (1928) 454 Errors, general theory of, Bibl., Deming and Birge (1934) 456 Errors, general theory of, Bibl., Edgeworth (1905, 1906) 458 Errors, general theory of, Bibl., Jeffreys (1933, 1937c, 1938c, 1939d) 471 Errors, general theory of, Bibl., Mahalanobis (1922) 476 Errors, general theory of, Bibl., Wertheimor (1932) 499 Errors, of first and second kind 270 Estimation, generally 1—49 50—62 Estimation, in analysis of variance 181 218—219 Estimator see also "Maximum Likelihood" "Minimum Estimator, accuracy of 28—29 Estimator, ancillary 32—33 Estimator, approximation to 4 Estimator, bias of 3—4 Estimator, Bibl., Aitken and Silverstone (1942) 443 Estimator, Bibl., Beall (1939) 446 Estimator, Bibl., Darmois (1935, 1936) 455 Estimator, Bibl., Doob (1936) 457 Estimator, Bibl., Dugue (1936a, b, 1937b) 458 Estimator, Bibl., E.S. Pearson (1937a, 1939) 483 Estimator, Bibl., Fisher (1925b) 461 Estimator, Bibl., Fisher (1934d, 1938b, d) 462 Estimator, Bibl., Geary (1942, 1944) 464 Estimator, Bibl., Halphen (1939) 467 Estimator, Bibl., Neyman (1937b) 480 Estimator, Bibl., O.L. Davies and Pearson (1934) 455 Estimator, Bibl., Pitman (1937b, 1939a) 486 Estimator, Bibl., S.S. Bose and Mahalanobis (1938b) 448 Estimator, Bibl., Wald (1939a) 497 Estimator, by inverse probability 58—59 Estimator, by least squares 59—60 Estimator, by minimum 55—58 Estimator, by minimum variance 50—55 Estimator, consistence of 3 Estimator, definition 2 Estimator, efficiency of 5—10 Estimator, in multivariate case 33—42 Estimator, location and scale 40—42 Estimator, most general sufficient form 24—25 Estimator, sufficiency of 7—12 Expectation of life see "Life" Expected case, in sociological data, Bibl., Stouffer and Tibbits (1933) 493 Expected values see "Mean Values" Expenditure of families, (Example 23.9) 214—215 Exponential distribution, (Exercise 26.8) 305—306 Exponential distribution, Bibl., Paulson (1941) 482 Exponential distribution, Bibl., Sukhatme (1936b) 493 Extra-sensory perception, Bibl., Greenwood and Stuart (1937) 465 Extra-sensory perception, Bibl., Stevens (1939b) 493 Extremes, distribution of see also "mth Values" Extremes, distribution of, Bibl., Daniels (1941) 455 Extremes, distribution of, Bibl., de Finetti (1932) 455 Extremes, distribution of, Bibl., Dodd (1923) 456 Extremes, distribution of, Bibl., Fisher and Tippett (1928a) 461 Extremes, distribution of, Bibl., Gumbel (1934, 1935a) 466 Extremes, distribution of, Bibl., McKay (1935) 477 Extremes, distribution of, Bibl., Olds (1935) 481 Extremes, distribution of, Bibl., Tippett (1925) 495 F-distribution (variance ratio) see "Fisher's Distribution" F-distribution (variance ratio), Bibl., Merrington and Thompson (1943) 478 Factor analysis (psychology), Bibl., Bartlett (1937e) 445 Factor analysis (psychology), Bibl., Burt (1937a, 1938a, b) 450 Factor analysis (psychology), Bibl., Camp (1932, 1934) 450 Factor analysis (psychology), Bibl., Darmois (1934) 455 Factor analysis (psychology), Bibl., Emmett (1936) 459 Factor analysis (psychology), Bibl., Hoel (1937, 1939) 468 Factor analysis (psychology), Bibl., Irwin (1933) 470 Factor analysis (psychology), Bibl., Ledermann (1938) 475 Factor analysis (psychology), Bibl., Roff (1937) 489 Factor analysis (psychology), Bibl., Thomson (1916, 19196, 1939) 494 Factor analysis (psychology), Bibl., Thurstone (1935, 1938) 495 Factor analysis (psychology), Bibl., W. Brown (1935) 449 Factorial experiments 199—202 Factorial experiments, Bibl., Barnard (1936) 444 Factorial experiments, Bibl., Cornish (1936, 1940b, c) 453 Factorial experiments, Bibl., Goulden (1937, 1938) 465 Factorial experiments, Bibl., Kishen (1940) 473 Factorial experiments, Bibl., P.L. Hsu (1943) 470 Factorial experiments, Bibl., R.C. Bose and Kishen (1941) 448 Factorial experiments, Bibl., Wishart (1938) 501 Factorial experiments, Bibl., Yates (1937b) 502 Factorial moments, Bibl., Gonin (1936) 465 Factorial moments, Bibl., Ottestad (1939) 481 Factorial sums, in fitting regressions, (Example 22.8) 164—165 Factorisation of variables, Bibl., S.C. Dodd (1927) 457 Families of alternatives 275—276 Feller, W., N.R. 303 Fiducial inference 85—95 see Fiducial inference, Bibl., Bartlett (1939a) 445 Fiducial inference, Bibl., Fisher (1933, 1935a, 1935b, 1936c, 1937b, 1939a, 1940c, 1941a) 462 Fiducial inference, Bibl., Garwood (1936) 464 Fiducial inference, Bibl., Ricker (1937) 488 Fiducial inference, Bibl., Segal (1938) 491 Fiducial inference, Bibl., Wilks (1938b, c) 499 Fiducial inference, Bibl., Wilks (1939a, b) 500 Field experiments see "Design" Field experiments, Bibl., Wishart and Saunders (1935) 501 Fifteen-constant surface, Bibl., K. Pearson (1925a) 485 Filon, L.N.G., N.R. 45 Finite populations, sampling from, Bibl., Church (1926) 452 Finite populations, sampling from, Bibl., Hansen and Hurwitz (1940) 467 Finite populations, sampling from, Bibl., Irwin and Kendall (1944) 470 Finite populations, sampling from, Bibl., Isserlis (1918c, 1931) 470 Finite populations, sampling from, Bibl., Neyman (1925) 480 Finite populations, sampling from, Bibl., O'Toole (1934) 481 Finite populations, sampling from, Bibl., Sukhatme (1944) 494 Finite populations, sampling from, Bibl., Tschuprow (1918b, 1921, 1923) 495 Finney, D.J., z-test 199 Finney, D.J., z-test, N.R. 137 216 Finney, D.J., z-test, test of significance in periodogram analysis 434 Fisher's distribution (z-distribution), (Example 26.8) 289—291 Fisher's distribution (z-distribution), Bibl., Aroian (1941) 444 Fisher's distribution (z-distribution), Bibl., Cochran (1940a) 452 Fisher's distribution (z-distribution), Bibl., Daniels (1938a) 454 Fisher's distribution (z-distribution), Bibl., Eden and Yates (1933) 458 Fisher's distribution (z-distribution), Bibl., Fisher (1924c) 461 Fisher's distribution (z-distribution), Bibl., Lawley (1938) 475 Fisher's distribution (z-distribution), Bibl., McCarthy (1939) 477 Fisher's distribution (z-distribution), Bibl., P.L. Hsu (1941c) 469 Fisher's distribution (z-distribution), Bibl., Paulson (1942) 482 Fisher's distribution (z-distribution), Bibl., R.A. Chapman (1938) 451 Fisher's distribution (z-distribution), Bibl., Welch (1937) 498 Fisher's distribution (z-distribution), hi non-normal case 205—206 234—236 Fisher's distribution (z-distribution), in discriminatory analysis 345 Fisher's distribution (z-distribution), in linear hypothesis 301 Fisher's distribution (z-distribution), in variance analysis 179 199 Fisher's distribution (z-distribution), properties of 116—118 Fisher, R.A., (Exercise 17.1) 45 Fisher, R.A., (Exercise 17.12, 17.15, 17.16) 48 Fisher, R.A., (Exercise 17.19) 49 Fisher, R.A., (Exercise 18.3) 61 Fisher, R.A., (Exercises 17.4, 17.5, 17.6) 46 Fisher, R.A., (Exercises 20.1, 20.2) 94—95 Fisher, R.A., configuration of a sample 127 Fisher, R.A., design of experiments 263 Fisher, R.A., difference of two means 110 Fisher, R.A., discriminatory analysis (Example 28.2) 342—344 Fisher, R.A., distribution of canonical correlations 357 Fisher, R.A., expansion of "Student's" integral 101 Fisher, R.A., fiducial probability 90 Fisher, R.A., fitting by moments 43 Fisher, R.A., fitting regressions 165 Fisher, R.A., N.R. 45 61 83 94 136 173 216 245 266 359 Fisher, R.A., significance of a periodogram 434 Fisher, R.A., tables for Behrens' test 92 93 111 Fisher, R.A., tables of t 102 Fisher, R.A., theorem on sum of squares 176—177 Fisher, R.A., z-distribution 116 117 Fitting see "Curve Fitting" "Least Flood flows, Bibl., Gumbol (1938a, 1941) 466 Fluctuations in time-series see "Time-series" Fluctuations in time-series, Bibl., R.A. Gordon (1937) 465 Forecasting, Bibl., Cowles (1933) 453 Forecasting, Bibl., Cowles and Jones (1937) 453 Forecasting, Bibl., de Finetti (1937) 456 Forecasting, Bibl., Schultz (1930) 490 Forecasting, Bibl., Yates (1936c) 502 Forsyth, A.R., Calculus of Variations, footnote 50 Fourier analysis see "Harmonic Analysis" "Periodicity" Fragmentary samples, Bibl., Wilks (1932a) 499 Frankel, L.R., N.R. 136 266 Freedom, degrees of see "Degrees of Freedom" Frequency theory of probability see "Probability" "Random Frequency theory of probability, Bibl., Campbell (1939) 450 Frequency theory of probability, Bibl., Cantelli (1923, 1932, 1933b) 450 Frequency theory of probability, Bibl., Cantelli (1936) 451
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