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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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Probability, Bibl., Doeblin (1938) 457
Probability, Bibl., Doob (1934b, 1941) 457
Probability, Bibl., Eggenberger (1924) 459
Probability, Bibl., Erdelyi (1937) 459
Probability, Bibl., Khintchine (1937b) 473
Probability, Bibl., Kolmogoroff (1931, 1933a) 473
Probability, Bibl., Levy (1931a, 1931c, 1936a, 1937a, 1938a) 475
Probability, Bibl., Lomnicki (1923) 476
Probability, Bibl., Marchand (1937) 477
Probability, Bibl., McKinsey (1939) 477
Probability, Bibl., Moisseiev (1937) 478
Probability, Bibl., Nagel (1936) 479
Probability, Bibl., Reichenbach (1937) 488
Probability, Bibl., Rice (1938) 488
Probability, Bibl., Romanovsky (1931a) 489
Probability, Bibl., Tornier (1929, 1930, 1936, 1937) 495
Probability, Bibl., Urban (1918) 496
Probability, Bibl., Uspensky (1937) 496
Probability, Bibl., von Mises (1919a, b, 1928, 1931, 1936a, b, 1939c, 1941) 497
Probits, Bibl., Bliss (1935, 1937) 447
Product, distribution of, Bibl., C.C. Craig (1936a) 454
Product-moment correlation see "Correlation"
Proficiency test of recruits, (Example 24.7) 240—242
Proportionate frequencies, in variate-analysis 228
Proportions, tests of, Bibl., Swaroop (1938) 494
Quadratic forms see "Independence of Quadratic Forms"
Quality control, Bibl., Becker and others (1930) 446
Quality control, Bibl., E.S. Pearson (1933a, 1934) 482
Quality control, Bibl., Jennett and Welch (1939) 471
Quality control, Bibl., Shewhart (1931) 491
Quality control, Bibl., Simon (1941) 491
Quality control, Bibl., Welch (1936b) 498
Quality control, Bibl., Wilks (1941) 500
Quality control, Bibl., Wolfowitz (1943) 501
Quartiles, Bibl., Hojo (1931, 1933) 469
Quasi-Latin squares, Bibl., Yates (1937a) 502
Quasi-sufficiency see "Conditional Statistics"
Quasi-sufficiency, Bibl., Bartlett (1940) 445
Racial likeness see "Multivariate Analysis"
Racial likeness, Bibl., K. Pearson (1926b) 485
Racial likeness, Bibl., Morant (1939) 478
Racial likeness, N.B. 358
Rainfall in London, (Table 29.4, Figure 29.4) 367
Random component in time-series 369
Random component in time-series, effect of trend-elimination on 378—387
Random component in time-series, tests for 399
Random migration, Bibl., Brownlee (1911) 449
Random occurrences, Bibl., Morant (1921) 478
Random order, Bibl., (runs, etc.) Andre (1884) 444
Random order, Bibl., Besson (1920) 446
Random order, Bibl., Borel (1933) 447
Random order, Bibl., Denk (1936) 456
Random order, Bibl., Fisher (1926b) 461
Random order, Bibl., Gumbel (1943a) 466
Random order, Bibl., Jones (1937c) 472
Random order, Bibl., Kaucky (1936) 472
Random order, Bibl., Mood (1940) 478
Random order, Bibl., von Bortkiewicz (1915a, 1917) 496
Random order, Bibl., von Mises (1921) 497
Random order, Bibl., Wolfowitz (1943) 501
Random order, tests of 122—127
Random paths, Bibl., McCrea (1936) 477
Random paths, Bibl., Polya (1938b) 487
Random samples, tables of, Bibl., Mahalanobis and others (1934) 476
Random sampling numbers, Bibl., K.R. Nair (1938a) 479
Random sampling numbers, Bibl., Kendall and Babington Smith (1939a) 472
Random sampling numbers, Bibl., Yule (1938a) 503
Random sequence, Bibl., Copeland (1928, 1929, 1932, 1936, 1937) 453
Random sequence, Bibl., Doerge (1934, 1936) 458
Random sequence, Bibl., Greville (1939) 466
Random sequence, Bibl., Regan (1936, 1938) 487
Random sequence, Bibl., Rice (1939) 488
Random sequence, Bibl., Swed and Eisenhart (1943) 494
Random sequence, Bibl., Ville (1936a, b) 496
Random sequence, Bibl., von Mises (1931, 1933) 497
Random sequence, Bibl., Wald (1936b, 1937) 497
Random sequence, Bibl., Young (1941) 502
Random variables see "Probability"
Random variables, Bibl., Cramer (1935a) 454
Random variables, Bibl., Cramer and others (1938) 454
Random variables, Bibl., de Finetti (1929) 455
Random variables, Bibl., Eyraud (1938b) 459
Random variables, Bibl., Levy (1934, 1935a, b, 1936c, 1939a, b) 475
Randomisation, and z-test 209—213 255—256
Randomisation, Bibl., E.S. Pearson (1937b, 1938) 483 see
Randomisation, in design 263—266
Randomised blocks 213—214 see
Randomised blocks, Bibl., Cornish (1940a) 453
Randomised blocks, Bibl., McCarthy (1939) 477
Randomised blocks, Bibl., Welch (1937) 498
Randomness, Bibl., Borel (1937) 447
Randomness, Bibl., Dodd (1942) 457
Randomness, Bibl., Kendall (1941) 472
Randomness, Bibl., Kermack and McKendrick (1936, 1937) 473
Randomness, Bibl., Wiener (1938) 499
Range, test of, (Exercise 27.3) 327
Range, test of, Bibl., E.S. Pearson (1926, 1932) 482
Range, test of, Bibl., Geary (1943) 464
Range, test of, Bibl., Hartley (1942) 467
Range, test of, Bibl., McKay and Pearson (1933) 477
Range, test of, Bibl., Newman (1939) 480
Range, test of, Bibl., Olds (1935) 481
Range, test of, Bibl., Pearson and Haines (1935a) 482
Range, test of, Bibl., Pearson and Hartley (1942, 1943) 483
Range, test of, Bibl., Romanovsky (1933b) 489
Range, test of, Bibl., Tippett (1925) 495
Range, test of, Bibl., W.R. Thompson (1938) 494
Rank correlation 123 441
Rank correlation, Bibl., "Student" (1921) 493
Rank correlation, Bibl., Daniels (1944) 455
Rank correlation, Bibl., Dantzig (1939) 455
Rank correlation, Bibl., Dubois (1939) 458
Rank correlation, Bibl., Hotelling and Pabst (1936c) 469
Rank correlation, Bibl., K. Pearson (1914, 1921) 484
Rank correlation, Bibl., Kendall (1938b, 1942a) 472
Rank correlation, Bibl., Kendall and others (1939, 1939b) 472
Rank correlation, Bibl., Olds (1938b) 481
Rank correlation, Bibl., Pearson and Pearson (1931c, 1932) 486
Rank correlation, Bibl., Wallis (1939) 498
Rank correlation, Bibl., Watkins (1933) 498
Rank correlation, Bibl., Woodbury (1940) 501
Ratio, distribution of, Bibl., C.C. Craig (1929b) 453
Ratio, distribution of, Bibl., Curtiss (1941) 454
Ratio, distribution of, Bibl., Fieller (1932b) 460
Ratio, distribution of, Bibl., Geary (1930) 464
Ratio, distribution of, Bibl., Gordon (1941) 465
Ratio, distribution of, Bibl., Hirschfeld (1937) 468
Ratio, distribution of, Bibl., Kullback (1936a) 474
Ratio, distribution of, Bibl., Nicholson (1941) 481
Ratio, distribution of, Bibl., van Uven (1932, 1939) 496
Rectangular distribution, Bibl., Dunlap (1931) 458
Rectangular distribution, Bibl., Hall (1927b) 467
Rectangular distribution, Bibl., O.L. Davies (1932) 455
Rectangular distribution, Bibl., Olds (1935) 481
Rectangular distribution, Bibl., Rietz (1931a) 488
Rectangular distribution, confidence intervals for range, (Exercise 19.1) 83
Rectangular distribution, estimation by sample-centre, (Exercise 17.16) 48
Rectangular distribution, estimation of extremes, (Example 17.15) 28
Rectangular distribution, intrinsic accuracy, (Example 17.11) 47
Region of acceptance 63 76 270
Regression coefficients, exact tests of 156—158
Regression coefficients, standard error of 153—156
Regression, addition of new variates 167—172
Regression, analytical theory 141—145
Regression, Bibl., Andersson (1932) 443
Regression, Bibl., Andersson (1934) 444
Regression, Bibl., Bartlett (1933a, 1938c) 445
Regression, Bibl., Blakeman (1905) 447
Regression, Bibl., Camp (1925b) 450
Regression, Bibl., Cochran (1938a) 452
Regression, Bibl., Dodd (1937b, c) 457
Regression, Bibl., Dwyer (1937b, 1941c) 458
Regression, Bibl., Eisenhart (1939) 459
Regression, Bibl., Ezekiel (1930b) 460
Regression, Bibl., F. Bernstein (1937) 446
Regression, Bibl., Fisher (1922b) 461
Regression, Bibl., Galton (1886) 464
Regression, Bibl., H.V. Allen (1938) 443
Regression, Bibl., Jones (1937b) 472
Regression, Bibl., K. Pearson (1896) 483
Regression, Bibl., K. Pearson (1921, 1926a) 485
Regression, Bibl., K. Smith (1918) 492
Regression, Bibl., Koopmans (1937) 474
Regression, Bibl., Mendershausen (1937a) 477
Regression, Bibl., Neyman (1926) 480
Regression, Bibl., Quensel (1936) 487
Regression, Bibl., R.G.D. Allen (1939) 443
Regression, Bibl., Richards (1931) 488
Regression, Bibl., Romanovsky (1926, 1931b) 489
Regression, Bibl., S.S. Bose (1934a, b, 1938b) 448
Regression, Bibl., Slutzky (1914) 491
Regression, Bibl., T.V. Moore (1937) 478
Regression, Bibl., Waugh (1942) 498
Regression, Bibl., Welch (1935) 498
Regression, Bibl., Wicksell (1934b) 499
Regression, Bibl., Yates (1939d) 502
Regression, Bibl., Yule (1936) 503
Regression, equal steps of variate 159—167
Regression, fitting of curvilinear regressions 145—153
Regression, Gauss' theorem on residuals 60—61
Regression, generally 141—174
Regression, in analysis of variance 233—236
Regression, in discriminatory analysis 344—345
Regression, multiple curvilinear 167
Regression, relation with Hotelling's T 336—337
Regression, standard errors and tests of significance 153—158
Regular unbiassed critical regions 318—319
Rejection of observations, Bibl., Irwin (1925b) 470
Rejection of observations, Bibl., Pearson and Chandra Sekhar (1930) 483
Rejection of observations, Bibl., Rider (1933) 488
Rejection of observations, Bibl., W.R. Thompson (1935) 494
Relaxed oscillations, Bibl., Le Corbeiller (1933) 475
Relaxed oscillations, Bibl., van der Pol (1930) 496
Reliability coefficients, Bibl., Stouffer (1936b) 493
Replication 255 see
Replication, Bibl., Bartlett (1938a) 445
Replication, Bibl., Cochran (1937b, 1938b, 1939a) 452
Replication, Bibl., Yates (1933a, b) 500
Replication, Bibl., Yates (1936d) 501
Representative method of sampling, Bibl., A.T. Craig (1939) 453
Representative method of sampling, Bibl., Jensen (1925) 471
Representative method of sampling, Bibl., Neyman (1933b, 1934) 480
Representative method of sampling, Bibl., Sukhatme (1935) 493
Residual, in variance-analysis 178 185—187
Ricker, W.E., confidence intervals for Poisson distribution 81
Riemann zeta-function, Bibl., Jessen and Wintner (1935) 471
Risk, theory of, Bibl., Cramer (1923) 454
Risk, theory of, Bibl., Esscher (1932) 459
Robinson, G., N.R. 394 437
Roots of equations, distribution of, Bibl., Girshik (1939, 1942) 465
Routine analysis, Bibl., "Student" (1927) 493
Routine analysis, Bibl., Neyman (1939b, 1941b) 480
Routine analysis, Bibl., Przyborowski and Wilenski (1935b) 487
Roy, S.N., distribution of canonical correlations 357
Roy, S.N., N.R. 359
Runs, in time-series see "Random Order"
Sampling distributions, moments of see "k-statistics" "Moments"
Sampling inquiries see "Design"
Sampling surveys see "Sampling miscellaneous"
Sampling surveys, Bibl., A.N. Bose (1941) 447
Sampling surveys, Bibl., C. Bose (1943) 447
Sampling, miscellaneous, Bibl., "Sophister" (1928) 492
Sampling, miscellaneous, Bibl., A.T. Craig (1933a, b) 453
Sampling, miscellaneous, Bibl., Bartky (1943) 445
Sampling, miscellaneous, Bibl., Bartlett (1937b) 445
Sampling, miscellaneous, Bibl., Baton (1933b) 446
Sampling, miscellaneous, Bibl., Bowley (1925) 448
Sampling, miscellaneous, Bibl., Burks (1933) 450
Sampling, miscellaneous, Bibl., C.C. Craig (1931a) 453
Sampling, miscellaneous, Bibl., Clapham (1931, 1936) 452
Sampling, miscellaneous, Bibl., Cochran (1936b, 1939b, 1942b) 452
Sampling, miscellaneous, Bibl., Crum (1933) 454
Sampling, miscellaneous, Bibl., David (1938b) 455
Sampling, miscellaneous, Bibl., E.S. Pearson (1933a, 1934) 482
Sampling, miscellaneous, Bibl., Hey (1938) 468
Sampling, miscellaneous, Bibl., Hilton (1924, 1928) 468
Sampling, miscellaneous, Bibl., Kiser (1934) 473
Sampling, miscellaneous, Bibl., McKay (1934) 477
Sampling, miscellaneous, Bibl., Neyman (1933a, 1934, 1938a) 480
Sampling, miscellaneous, Bibl., Olds (1939, 1940) 481
Sampling, miscellaneous, Bibl., Panse (1939) 482
Sampling, miscellaneous, Bibl., Pepper (1929) 486
Sampling, miscellaneous, Bibl., Rhodes (1925) 488
Sampling, miscellaneous, Bibl., Rider (1931b) 488
Sampling, miscellaneous, Bibl., Rietz (1937) 488
Sampling, miscellaneous, Bibl., Shewhart and Winters (1928) 491
Sasuly, M., N.B. 394
Savur, S.R., N.B. 83
Scale, Bibl., Pitman (1939a, b) 486
Scale, elimination of parameters of 79—80
Scale, estimation of parameters of 40—42
Scale, Pitman's tests of 323—326
Scale, reading, Bibl., Yule (1927b) 503
Scales of measurement, Bibl., Cochran (1943) 452
Scatterance, N.R. 358
Scedastic curve 142
Scheffe, H., N.R. 304 326
Scheffe, H., non-parametric tests 322
Schoolchildren, tests of, (Example 25.1) 258—259
Schoolchildren, tests of, (Example 28.4) 351—352
Schultz, H., N.R. 394
Schuster, Sir Arthur, N.R. 437
Schuster, Sir Arthur, significance of periodogram 434
Seasonal effect, Bibl., Bowley and Smith (1924) 448
Seasonal effect, Bibl., Carmichael (1931) 451
Seasonal effect, Bibl., Carver (1932) 451
Seasonal effect, Bibl., Crum (1925) 454
Seasonal effect, Bibl., Detroit Edison Co. (1930) 456
Seasonal effect, Bibl., Donner (1928) 457
Seasonal effect, Bibl., Falkner (1924) 460
Seasonal effect, Bibl., Gressens (1925) 466
Seasonal effect, Bibl., Mendershausen (1937b) 478
Seasonal effect, Bibl., Robb (1929, 1930) 489
Seasonal effect, Bibl., Wald (1936a) 497
Seasonal effect, Bibl., Wisniewski (1934) 501
Seasonal effect, Bibl., Zrzavy (1933) 503
Seasonal effect, in time-series 369
Second Limit Theorem, Bibl., Frechet and Shohat (1931) 463
Second moment see "Variance"
Seed in optical glass, (Example 23.6) 202—205
Seeds of wheat, germination of, (Example 23.7) 207—209
Selective confidence intervals 75—76
Semi-normal distribution, Bibl., Steffensen (1937) 492
Seminvariants see "Cumulants" "k-statistics"
Sensitivity, of tests of significance 256
Serial correlation 402—404 see
Serial correlation, Bibl., Bartlett (1935c) 445
Serial correlation, Bibl., Dixon (1944) 456
Serial correlation, Bibl., Kendall (1944a, b) 473
Serial correlation, Bibl., Koopmans (1942) 474
Serial correlation, Bibl., Marples (1932) 477
Serial correlation, Bibl., R.L. Anderson (1942) 443
Serial correlation, Bibl., Schumann and Hofmeyer (1942) 490
Serial correlation, Bibl., Yule (1921) 502
Serial correlation, Bibl., Yule (1926, 1927a) 503
Sheep population of England and Wales, (Example 29.5) 385—386
Sheep population of England and Wales, (Example 30.5) 411
Sheep population of England and Wales, (Example 30.8) 416—418
Sheep population of England and Wales, (Table 29.3, Figure 29.3) 366
Sheppard's corrections see "Grouping Corrections"
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