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Kendall M.G. — The advanced theory of statistics (vol. 2)
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: en

Рубрика: Математика/Вероятность/Статистика и приложения/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1946

Количество страниц: 521

Добавлена в каталог: 04.06.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
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 $\chi^{2}$      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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