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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.
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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
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Chi-squared , in testing hypotheses 299 302
Chi-squared , minimum 55 58
Chi-squared, generally, Bibl., Aroian (1943) 444
Chi-squared, generally, Bibl., Berkson (1938) 446
Chi-squared, generally, Bibl., Brownlee (1924a) 449
Chi-squared, generally, Bibl., C.M. Thompson (1941b) 494
Chi-squared, generally, Bibl., Camp (1938b) 450
Chi-squared, generally, Bibl., Cochran (1936a, 1942a) 452
Chi-squared, generally, Bibl., Deming (1934, 1938) 456
Chi-squared, generally, Bibl., Eisenhart (1938) 459
Chi-squared, generally, Bibl., El Shanawany (1936) 459
Chi-squared, generally, Bibl., Fisher (1922a, 1928c, 1924d) 461
Chi-squared, generally, Bibl., Fry (1938) 464
Chi-squared, generally, Bibl., Grueneberg and Haldane (1937) 466
Chi-squared, generally, Bibl., Gumbel (1943b) 466
Chi-squared, generally, Bibl., Haldane (1937, 1938, 1939, 1940) 467
Chi-squared, generally, Bibl., Hoel (1938) 468
Chi-squared, generally, Bibl., Irwin (1929b) 470
Chi-squared, generally, Bibl., Jeffreys (1938b, 1939b) 471
Chi-squared, generally, Bibl., Johnson and Welch (1939) 471
Chi-squared, generally, Bibl., K. Pearson (1900c) 483
Chi-squared, generally, Bibl., K. Pearson (1916e, f, 1922a, 1923) 485
Chi-squared, generally, Bibl., K. Pearson (1932b) 486
Chi-squared, generally, Bibl., K. Smith (1916) 492
Chi-squared, generally, Bibl., Koshal (1939) 474
Chi-squared, generally, Bibl., Mann and Wald (1942) 477
Chi-squared, generally, Bibl., Merrington (1941) 478
Chi-squared, generally, Bibl., Neyman and Pearson (1931a) 480
Chi-squared, generally, Bibl., Robinson (1933) 489
Chi-squared, generally, Bibl., Seal (1940) 490
Chi-squared, generally, Bibl., Snedecor and Irwin (1933) 492
Chi-squared, generally, Bibl., Sukhatme (1937a, 1938a) 494
Chi-squared, generally, Bibl., Wilson and Hilferty (1931a) 500
Chi-squared, generally, Bibl., Wilson and others (1931b) 500
Chi-squared, generally, Bibl., Yates (1934b) 502
Chi-squared, generally, Bibl., Yule (1922) 503
Clitic curve 142
Clopper, C.J., confidence limits for a binomial 81
Closeness, in estimation, Bibl., Geary (1944) 464
Closure, Bibl., Stekloff (1914) 492
Cochran, W.G., elimination of variates 170
Cochran, W.G., elimination of variates, (Example 22.10) 171
Cochran, W.G., N.R. 136 216
Cochran, W.G., on Fisher's distribution 117 199
Cochran, W.G., theorem on sum of squares 177—178
Cograduation, Bibl., Gini (1939) 465
Cograduation, Bibl., Salvemini(1939) 490
Combination of observations see "Errors general
Combination of observations, Bibl., Bruen (1938) 449
Combination of observations, Bibl., Brunt (1931) 449
Combination of observations, Bibl., Mather (1935) 477
Combination of tests 132—133
Combination of tests, Bibl., David (1934) 455
Combination of tests, Bibl., E.S. Pearson (1938) 483
Combination of tests, Bibl., K. Pearson (1933b) 486
Combination of tests, Bibl., Wallis (1942) 498
Compatible events, Bibl., Gumbel (1938b) 466
Complete sufficiency, in estimation 40
Complex experiments see "Design"
Complex experiments, Bibl., Yates (1935b) 502
Composite hypothesis 269 282—283 287—292 316—317
Compound frequency-distributions see "Bimodal"
Compound frequency-distributions, Bibl., Helguero (1906) 468
Compound frequency-distributions, Bibl., K. Pearson (1915b) 484
Concentration, Bibl., Castellano (1933a, b, 1937) 451
Concentration, Bibl., Galvani (1932) 464
Concentration, Bibl., Gini (1932) 465
Concentration, Bibl., Pietra (1932a) 486
Concentration, Bibl., von Schelling (1934) 497
Concentration, Bibl., Wold (1935) 501
Concordance, Bibl., Gini (1916) 465
Concordant samples 128
Conditional statistics, (Exercise 21.10) 139
Conditional statistics, Bibl., Bartlett (1938b) 445
Conditional statistics, N.R. 45
conditional tests 127—128 134
Confidence, belt 63
Confidence, Bibl., Clopper and Pearson (1934) 452
Confidence, Bibl., David (1937, 1938a) 455
Confidence, Bibl., E.S. Pearson (1932) 482
Confidence, Bibl., Frankel and Kullback (1940) 463
Confidence, Bibl., K.R. Nair (1940b) 479
Confidence, Bibl., Kolmogoroff (1941) 474
Confidence, Bibl., Neyman (1937b, 1941a) 480
Confidence, Bibl., Pearson and Sukhatme (1935b) 482
Confidence, Bibl., Ricker (1937) 488
Confidence, Bibl., W.R. Thompson (1936) 494
Confidence, Bibl., Wald (1942a) 498
Confidence, Bibl., Wald and Wolfowitz (1939b) 497
Confidence, Bibl., Wald and Wolfowitz (1941c) 498
Confidence, Bibl., Welch (1939a) 498
Confidence, Bibl., Wilks (1938b, c) 499
Confidence, Bibl., Wilks (1939a) 500
Confidence, Bibl., Wilks and Daly (1939b) 500
Confidence, central and non-central 66—69
Confidence, coefficient 63
Confidence, for large samples 69—71
Confidence, for one parameter 62—65
Confidence, for several parameters 76—79 81—82
Confidence, intervals 62—84
Confidence, limits 63
Confidence, shortest sets 71—74
Confidence, studentisation in determining 79—81
Confidence, sufficient estimators 74—75
Confidence, tables of 81
Configuration of sample 127
Confluence analysis, Bibl., Cobb (1939) 452
Confluence analysis, Bibl., Frisch (1934b) 464
Confluence analysis, Bibl., Mendershausen (1939) 478
Confluence analysis, Bibl., Reiersoel (1940, 1941) 488
Conformity, index of, Bibl., Solomon (1939) 492
Confounding 262—263 see
Confounding, Bibl., Barnard (1936) 444
Confounding, Fisher (1942c) 462
Confounding, K.R. Nair (1938b, 1941) 479
Confounding, R.C. Bose and Kishen (1941) 448
Confounding, Yates (1933a) 501
Consistence, of estimators 3 12—15
Contagious distributions, Bibl., Feller (1943) 460
Contagious distributions, Bibl., Neyman (1939a) 480
Contingency, Bibl., Bartlett (1935b) 445
Contingency, Bibl., Blakeman and Pearson (1906) 447
Contingency, Bibl., Harris and Treloar (1927) 467
Contingency, Bibl., Hirschfeld (1935) 468
Contingency, Bibl., K. Pearson (1900a, b) 483
Contingency, Bibl., K. Pearson (1904) 484
Contingency, Bibl., K. Pearson (1916b) 485
Contingency, Bibl., K. Pearson and Blakeman (1906) 484
Contingency, Bibl., Kondo (1929) 474
Contingency, Bibl., Stevens (1938a) 493
Contingency, Bibl., Weida (1934) 498
Contingency, Bibl., Wilks (1935a) 499
Contingency, Bibl., Yates (1934b) 502
Contingency, Bibl., Young and Pearson (1916) 502
Continuous spectrum, in periodogram 433
Convergence in probability see also "Central Limit Theorem"
Convergence in probability, Bibl., Cantolli (1916, 1917, 1923, 1933a, 1935) 450
Convergence in probability, Bibl., Cramer (1934) 454
Convergence in probability, Bibl., Dodd (1926, 1927) 456
Convergence in probability, Bibl., Doeblin (1938, 1939) 457
Convergence in probability, Bibl., Dugue (1937a) 458
Convergence in probability, Bibl., Feller (1937) 460
Convergence in probability, Bibl., Frechet (1930) 463
Convergence in probability, Bibl., Jordan (1933) 472
Convergence in probability, Bibl., Kolmogoroff (1937a) 473
Convergence in probability, Bibl., Kozakiewiez (1937, 1938) 474
Convergence in probability, Bibl., Levy (1935b, 1936c, 1939a) 475
Convergence in probability, Bibl., Messina (1933) 478
Convergence in probability, Bibl., Romanovsky (1932b) 489
Convergence in probability, Bibl., Slutzky (1925, 1937a) 491
Convolutions, Bibl., van Kampen (1937a) 496
Convolutions, Bibl., van Kampen and Wintner (1937b, c) 496
Cornish, E.A., N.R. 136
Cornish, E.A., on Fisher's distribution 116
Corrections, for grouping see "Grouping Corrections"
Corrections, for grouping, to correlations, Bibl., Roff (1937) 489
Correlated observations, sampling from see also "Time-series"
Correlated observations, sampling from, Bibl., A.T. Craig (1933b) 453
Correlated observations, sampling from, Bibl., C.C. Craig (1931a) 453
Correlated observations, sampling from, Bibl., C.C. Craig (1932) 454
Correlated observations, sampling from, Bibl., Rhodes (1927) 488
Correlation see also "Multiple Correlation" "Regression"
Correlation ratio, Bibl., "Student" (1913) 493
Correlation ratio, Bibl., E.S. Pearson (1927) 482
Correlation ratio, Bibl., Hotelling (1925) 469
Correlation ratio, Bibl., Isserlis (1914, 1916) 470
Correlation ratio, Bibl., K. Pearson (1905, 1910, 1911a, b, 1915a) 484
Correlation ratio, Bibl., K. Pearson (1917, 1923b) 485
Correlation ratio, Bibl., Kelley (1935) 472
Correlation ratio, Bibl., Musselman (1920) 479
Correlation ratio, Bibl., Wallis (1939) 498
Correlation ratio, Bibl., Wishart (1932a) 500
Correlation, Bibl., "Student" (1908b) 493
Correlation, Bibl., A.N.K. Nair (1942) 479
Correlation, Bibl., Baker (1930b) 444
Correlation, Bibl., Bilham (1926) 447
Correlation, Bibl., Bispham (1920, 1923) 447
Correlation, Bibl., Bonferroni (1939) 447
Correlation, Bibl., Brander (1933) 449
Correlation, Bibl., Brownlee (1910, 1925) 449
Correlation, Bibl., Cheshire and others (1932) 451
Correlation, Bibl., Cochran (1937a) 452
Correlation, Bibl., Coleman (1932) 452
Correlation, Bibl., Cowles and Chapman (1935) 453
Correlation, Bibl., David (1937, 1938) 455
Correlation, Bibl., Day and Fisher (1937) 455
Correlation, Bibl., de Lury (1938) 456
Correlation, Bibl., Deming (1937) 456
Correlation, Bibl., Dieulefait (1934a, 1935a) 456
Correlation, Bibl., Dunlap (1931) 458
Correlation, Bibl., E.S. Pearson (1923, 1924, 1931a, 1932) 482
Correlation, Bibl., Eells (1929) 459
Correlation, Bibl., Ezekiel (1930a) 459
Correlation, Bibl., Fischer (1933a, b) 460
Correlation, Bibl., Fisher (1915, 1918, 1921c, 1924a) 461
Correlation, Bibl., Frechet (1933) 463
Correlation, Bibl., Frisch (1929) 463
Correlation, Bibl., Frisch and Mudgett (1931) 463
Correlation, Bibl., G.R. Davies (1930) 455
Correlation, Bibl., Garwood (1933) 464
Correlation, Bibl., Geary (1927) 464
Correlation, Bibl., Gehlke and Biehl (1934) 464
Correlation, Bibl., Geiringer (1933) 464
Correlation, Bibl., Jeffreys (1939c) 471
Correlation, Bibl., K. Pearson (1897b, 1900a, b, 1902a) 483
Correlation, Bibl., K. Pearson (1904, 1905, 1907a, 1909, 1910, 1913a, b, 1914, 1921) 484
Correlation, Bibl., K. Pearson (1920b, 1925b) 485
Correlation, Bibl., Khintchine (1928) 473
Correlation, Bibl., Kuzmin (1939) 474
Correlation, Bibl., Lindblad (1937) 476
Correlation, Bibl., Merzrath (1933) 478
Correlation, Bibl., Nowbold (1925) 479
Correlation, Bibl., Pitman (1939c) 486
Correlation, Bibl., Prokopovic (1935) 487
Correlation, Bibl., Quensel (1938) 487
Correlation, Bibl., Rider (1932) 488
Correlation, Bibl., Romanovsky (1925a) 489
Correlation, Bibl., S.C. Dodd (1937) 457
Correlation, Bibl., Soper (1913, 1914, 1917) 492
Correlation, Bibl., Steffensen (1934) 492
Correlation, Bibl., Stouffer (1934, 1936a, b) 493
Correlation, Bibl., Thorndike (1937) 494
Correlation, Bibl., Thouless (1939) 495
Correlation, Bibl., Tschuprow (1925, 1928) 495
Correlation, Bibl., Tschuprow (1934) 496
Correlation, Bibl., W. Brown (1909) 449
Correlation, Bibl., Wicksell (1917a, b, 1921, 1933) 499
Correlation, Bibl., Yasukawa (1925) 501
Correlation, Bibl., Yule (1897a, b, 1906, 1907, 1910) 502
Correlation, confidence intervals for coefficient 81
Correlation, Pitman's test for 131—132
Correlation, significance of 235
Correlogram 404—412
Correlogram, of general linear series 420—421
Correlogram, relation with periodogram 432—433
Correlogram, significance of 412—413
Cost of living, Bibl., Bennett (1920) 446
Cost of living, Bibl., Bowley (1919) 448
Cost of living, Bibl., Konoes (1939) 474
Cotton yarn, Bibl., Tippett (1935) 495
Counting experiments, Bibl., Peierls (1935) 486
Counting experiments, Bibl., Tippett (1932) 495
Coutts, J.R.H., data from, (Table 22.1) 150
Covariance, analysis of 237—245
Covariance, Bibl., Bailey (1931) 444
Covariance, Bibl., Bartlett (1935d, 1936c) 445
Covariance, Bibl., Brady (1935) 449
Covariance, Bibl., Cochran (1934) 452
Covariance, Bibl., Cornish (1940c) 453
Covariance, Bibl., Cox and Snedecor (1936) 453
Covariance, Bibl., Hirschfeld (1937) 468
Covariance, Bibl., K.R. Nair (1940a) 479
Covariance, Bibl., Snedecor (1935) 492
Covariance, Bibl., Wilks (1936) 499
Covariance, Bibl., Wilks (1938c) 500
Covariance, Bibl., Wishart (1936) 501
Covarianee, distribution of, (Example 28.1) 334—335
Cramer, H., -test 108—109
Cramer, H., Carleman criterion 440
Critical region 270
Critical region, (Example 27.2) 312—313
Crop estimation, Bibl., Yates (1936c) 502
Crum, W.L., N.R. 437
Cumulants see also "k-statistics" "Moments"
Cumulants, Bibl., Ayyangar (1938) 444
Cumulants, Bibl., C.C. Craig (1931c) 454
Cumulants, Bibl., Cornish and Fisher (1937) 453
Cumulants, Bibl., Dressel (1940, 1941) 458
Cumulants, Bibl., Frisch (1926) 463
Cumulants, Bibl., Gotaas (1936) 465
Cumulants, Bibl., Thiele (1931) 494
Curtiss, J.H., N.R. 216
Curve fitting see also "Least Squares" "Regression" "Trend"
Curve fitting, Bibl., Elderton and Hansmarm (1934) 459
Curve fitting, Bibl., Fisher (1912) 461
Curve fitting, Bibl., Jones (1937a) 472
Curve fitting, Bibl., K. Pearson (1901c) 483
Curve fitting, Bibl., K. Smith (1916) 492
Curve fitting, Bibl., Kerrieh (1935) 473
Curve fitting, Bibl., Koshal (1933, 1935, 1939) 474
Curve fitting, Bibl., Myers (1934) 479
Curve fitting, Bibl., Nair and Banerjce (1943) 479
Curve fitting, Bibl., Nair and Shrivastava (1942) 479
Curve fitting, Bibl., Rhodes (1930) 488
Curve fitting, Bibl., Roos (1937) 489
Curve fitting, Bibl., Snow (1911) 492
Curve fitting, Bibl., Wald (1940a) 497
Curvilinear regression 145—174 see
Curvilinear regression, Bibl., Mendershausen (1937a) 477
Curvilinear regression, Bibl., T.V. Moore (1937) 478
CYCLE 397—398 see
Cyclical effects, tests for 124—127 370 see
Daly, J.F., N.R. 304
Daly, J.F., on bias in tests 323
Daly, J.F., on shortest confidence intervals 82
Daniels, H.E., (Example 23.2) 183—185
Daniels, H.E., rank correlations 441
Dantzig, G.B., N.R. 304
David, F.N., confidence intervals for correlations 81
David, F.N., N.R. 304
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