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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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Предметный указатель
"Student" (W.S. Gosset) see "Gosset"
"Student's" distribution, (Example 26.9) 291
"Student's" distribution, Bibl., "Student" (1908a, 1931a) 493
"Student's" distribution, Bibl., A.N.K. Nair (1942) 479
"Student's" distribution, Bibl., Bartlett (1935a) 445
"Student's" distribution, Bibl., C.C. Craig (1941a) 454
"Student's" distribution, Bibl., Daniels (1938a) 454
"Student's" distribution, Bibl., Fisher (1926a) 461
"Student's" distribution, Bibl., Geary (1936b) 464
"Student's" distribution, Bibl., Hendricks (1936) 468
"Student's" distribution, Bibl., Kerrich (1937) 473
"Student's" distribution, Bibl., Kolodzieczyk (1933) 474
"Student's" distribution, Bibl., Ladermann (1939) 474
"Student's" distribution, Bibl., McKay and others (1932) 477
"Student's" distribution, Bibl., Merrington (1942) 478
"Student's" distribution, Bibl., N.L. Johnson and Welch (1940a) 471
"Student's" distribution, Bibl., P.L. Hsu (1938a) 469
"Student's" distribution, Bibl., Perlo (1933) 486
"Student's" distribution, Bibl., Rider (1929) 488
"Student's" distribution, Bibl., Rietz (1939) 488
"Student's" distribution, Bibl., Steffensen (1936) 492
"Student's" distribution, Bibl., Treloar and Wilder (1934) 495
"Student's" distribution, confidence intervals based on 79—80
"Student's" distribution, fiducial inference based on 88
"Student's" distribution, in analysis of covariance 244
"Student's" distribution, in non-normal case 102—104
"Student's" distribution, in Pitman's tests 131 132
"Student's" distribution, in testing mean 98—100
"Student's" distribution, in testing regressions 156 158 172
"Student's" distribution, in testing Spearman's 124
"Student's" distribution, in testing two means 109—110 113—114
"Student's" distribution, other uses 104
"Student's" distribution, properties of 100—102
"Student's" hypothesis 285—287
"Student's" hypothesis, Bibl., Neyman and Tokarska (1936b) 480
"Student's" hypothesis, Bibl., Przyborowski and Wilenski (1935a) 487
-statistic see also "Discriminatory Analysis" "Multivariate
-statistic, Bibl., Bhattacharya and Narayan (1942) 446
-statistic, Bibl., R.C. Bose (1936a, b) 447
-statistic, Bibl., R.C. Bose and Roy (1938c, 1940) 448
-statistic, Bibl., Roy (1939a) 489
-statistic, Bibl., S.N. Bose (1935, 1937) 448
-statistic, N.R. 359
test see "Combination of Tests"
Acceptance, region of 63 76
Accidents see "Industrial Accidents"
Accuracy, loss of 30—32
Accuracy, of an estimator 28—29
Accuracy, of calculation, Bibl., Walker and Sanford (1934) 498
Addition of variate, in regression analysis 167—170
Additive functions, Bibl. : Erdoes and Kac (1939), Erdoes (1939), Erdoes and Wintner (1939) 459
Admissible functions see "Random Sequence"
Adyanthaya, A.K., distribution of t in non-normal case 103
Age and audible pitch, (Example 22.4) 152—153
Age and audible pitch, (Example 22.5) 155—156
Agricultural statistics, bibliography of, Bibl., Wishart (1934a, b) 501
Aitken, A.C., minimum variance 51
Aitken, A.C., minimum variance, (Exercises 18.1 and 18.2) 61
Aitken, A.C., N.R. 61 173
Allan, F.E., N.R. 173 245
Allan, F.E., orthogonal polynomials 161
Allan, F.E., orthogonal polynomials, (Exercise 22.4) 173
Almost periodic functions, Bibl., Besicovitch (1932) 446
Almost periodic functions, Bibl., Bohr (1925) 447
Almost periodic functions, Bibl., Hartman and others (1938) 467
Almost periodic functions, Bibl., Kerchner and Wintner (1936) 473
Almost periodic functions, Bibl., van Kampen (1939a) 496
Almost periodic functions, Bibl., Wintner (1934b) 500
Alter, D., N.R. 437
Amount of information, in estimation 29—30
Analysis of variance, arithmetic of 198—199
Analysis of variance, Bibl., Bartlett (1936d, e) 445
Analysis of variance, Bibl., Beall (1942) 446
Analysis of variance, Bibl., Bliss (1938) 447
Analysis of variance, Bibl., Brandt (1933) 449
Analysis of variance, Bibl., Clark and Leonard (1939) 452
Analysis of variance, Bibl., Cochran (1935, 1937b, 1939b, 1940b) 452
Analysis of variance, Bibl., Comrie and others (1937) 452
Analysis of variance, Bibl., Curtiss (1943) 454
Analysis of variance, Bibl., Daniels (1938b) 455
Analysis of variance, Bibl., E.S. Pearson (1931b) 482
Analysis of variance, Bibl., Fieller (1940) 460
Analysis of variance, Bibl., Hendricks (1935) 468
Analysis of variance, Bibl., Irwin (1931, 1934, 1942) 470
Analysis of variance, Bibl., P.C. Tang (1938) 494
Analysis of variance, Bibl., P.L. Hsu (1940, 1941b) 469
Analysis of variance, Bibl., Roy (1939b, 1942a, b) 489
Analysis of variance, Bibl., Schultz and Snedecor (1933) 490
Analysis of variance, Bibl., Snedecor (1934b) 492
Analysis of variance, Bibl., Snedecor and Cox (1934a) 492
Analysis of variance, Bibl., Wald (1940b) 497
Analysis of variance, Bibl., Wald (1941) 498
Analysis of variance, Bibl., Wilks (1932e, 1937b) 499
Analysis of variance, Bibl., Wilks (1938e) 500
Analysis of variance, Bibl., Yates (1938c) 502
Analysis of variance, covariance analysis 237—245
Analysis of variance, different numbers in sub-classes 220—228
Analysis of variance, estimation of class-differences 218—219
Analysis of variance, factorial classifications 228—229
Analysis of variance, factorial experiments 199—202
Analysis of variance, generally 175—246 see "Replication" "Blocks" "Design"
Analysis of variance, in non-normal data 205—216
Analysis of variance, interactions 188—189
Analysis of variance, missing plot technique 229—233
Analysis of variance, n-way classifications 189—198
Analysis of variance, one-way classifications 175—176
Analysis of variance, randomisation 209—213
Analysis of variance, randomised blocks 213—214
Analysis of variance, ranking tests 214—215
Analysis of variance, relation with regression analysis 233—237
Analysis of variance, three-way classifications 187—188
Analysis of variance, two-way classifications 181—187
Analysis of variance, variate transformations 206—209
Analysis of variance, z-test in 199
Analysis situs, Bibl., Hotelling (1927) 469
Ancillary estimators 32—33
Anderson, O., N.R. 394
Anderson, O., variate-difference method 391 393
Andersson, W., (Exercise 22.5) 174
Andersson, W., N.R. 172
Andre, D., N.R. 136
Animal experiments, Bibl., Wishart (1939) 501
Association, Bibl., K. Pearson (1913d) 484
Association, Bibl., K. Pearson and Heron (1913c) 484
Association, Bibl., M. Greenwood and Yule (1915) 466
Association, Bibl., S.S. Bose and Mahalanobis (1938a) 448
Association, Bibl., Yule (1900, 1912) 502
Asymmetrical frequency-distributions see also "Gram — Charlier Series" "Pearson
Asymmetrical frequency-distributions, Bibl., Hansmann (1934) 467
Asymptotic distributions see also "Convergence in Probability"
Asymptotic distributions, Bibl., Hartman and others (1939) 468
Asymptotic distributions, Bibl., Haviland (1939) 468
Attributes, significance in k samples 119—120
Attributes, sub-sampling for, Bibl., Bartlett (1937a) 445
Autocorrelation see "Serial Correlation" "Correlogram"
Autocorrelation function 421—423
Autoregression equations 399 see "Correlogram"
Autoregression equations, (Table 30.4) 401 406—408
Autoregression equations, period of 414—421
Average, accuracy of see also "Moan" "Modian" "Mode"
Average, accuracy of, Bibl., Bowley (1912) 448
Average, accuracy of, Bibl., Keynes (1911) 473
Balance, in design 263—265
Balance, in design, Bibl., "Student" (1938) 493
Balance, in design, Bibl., Cox (1940) 453
Balance, in design, Bibl., E.S. Pearson (1937b, 1938) 483
Balance, in design, Bibl., K.R. Nair and Rao (1942) 479
Balance, in design, Bibl., Neyman and Pearson (1938d) 480
Balance, in design, Bibl., R.C. Bose (1939) 448
Balance, in design, Bibl., R.C. Bose (1942a) 448
Balance, in design, Bibl., R.C. Bose and Nair (1939) 448
Balance, in design, Bibl., Weiss and Cox (1939) 498
Balance, in design, Bibl., Yates (1938a, 1940) 502
Barbacki, S., N.R. 266
Barley yields, (Table 29.1, Figure 29.1) 364
Barnard, M.M., (Example 28.3) 345—348
Barnard, M.M., N.R. 359
Bartels, J., N.R. 437
Bartlett, M.S., (Exercises 21.10) 139
Bartlett, M.S., (Exercises 21.11, 21.13, 21.14) 140
Bartlett, M.S., (Exercises 21.7) 139
Bartlett, M.S., (Exercises 27.2) 326
Bartlett, M.S., (Exercises 28.12) 362
Bartlett, M.S., (Exercises 28.2) 360
Bartlett, M.S., conditional tests 127
Bartlett, M.S., distribution of t 103
Bartlett, M.S., k samples 299 323
Bartlett, M.S., N.R. 45 83 94 136 245 304 359 437
Bartlett, M.S., stabilising variance 207—208
Bartlett, M.S., Wishart's distribution 333
Bayes' theorem and postulate, Bibl., Bayes (1763) 446
Bayes' theorem and postulate, Bibl., Berkson (1930) 446
Bayes' theorem and postulate, Bibl., Burnside (1924) 450
Bayes' theorem and postulate, Bibl., E.S. Pearson (1925) 482
Bayes' theorem and postulate, Bibl., K. Pearson (1920a) 485
Bayes' theorem and postulate, Bibl., Molina (1931) 478
Bayes' theorem and postulate, Bibl., von Mises (1938) 497
Bayes' theorem and postulate, Bibl., Wishart (1927) 500
Bayes' theorem and postulate, in estimation 58—59
Bayes' theorem and postulate, in relation to fiducial inference 90—91 93—94
Beall, G., N.R. 216
Behrens' test 82 91—94 111—112 see
Belonging coefficient, Bibl., Kullback (1935c) 474
Bessel function distribution, (Exercise 28.2) 359—360
Bessel function distribution, Bibl., Fieller (1932a) 460
Bessel function distribution, Bibl., K. Pearson (1933a) 486
Bessel function distribution, Bibl., K. Pearson and others (1932a) 486
Bessel function distribution, Bibl., McKay (1932) 477
Bessel function distribution, Bibl., R.C. Bose (1938a) 448
Bessel function distribution, Bibl., S.S. Bose (1938a) 448
Best critical regions 272 275—278
Beta (measure of skewness and kurtosis), Bibl., McKay (1933) 477
Beta-function, Bibl., Mueller (1931) 479
Beta-function, Bibl., Thompson and others (1941a) 494
Beveridge, Sir William see "Wheat-price Index"
Beveridge, Sir William, (Table 30.1) 396
Beveridge, Sir William, N.R. 437
Bias, Bibl., Daly (1940) 454
Bias, Bibl., Neyman (1935b) 480
Bias, Bibl., Neyman and Pearson (1936, 1938) 480
Bias, Bibl., Yates (1935a) 502
Bias, in estimation 3—4
Bias, in statistical tests 307—327
Bimodal distributions, transformations of, Bibl., Baker (1930a) 444
Binomial, confidence intervals for, (Example 19.2) 66—69
Binomial, confidence intervals for, tables of 81
Binomial, generally, Bibl., Ayyangar (1934) 444
Binomial, generally, Bibl., Camp (1924) 450
Binomial, generally, Bibl., Clopper and Pearson (1934) 452
Binomial, generally, Bibl., Cochran (1936a, 1937a, 1940b) 452
Binomial, generally, Bibl., Fisher (1941b) 462
Binomial, generally, Bibl., Greenwood and Yule (1920) 466
Binomial, generally, Bibl., K. Pearson (1915b) 484
Binomial, generally, Bibl., Kullback (1935b) 474
Binomial, generally, Bibl., Lurquin (1937) 476
Binomial, generally, Bibl., Romanovsky (1923) 489
Biological assays, Bibl., Irwin (1937b) 470
Births, proportion of males in, (Example 21.8) 120
Biserial coefficients, Bibl., K. Pearson (1909, 1910) 484
Biserial coefficients, Bibl., K. Pearson (1917) 485
Biserial coefficients, Bibl., Newbold (1925) 479
Biserial coefficients, Bibl., Soper (1914) 492
Bishop, D.J., N.R. 304 359
Bivariato surfaces, Bibl., Narumi (1923a) 479
Bivariato surfaces, Bibl., Nicholson (1943) 481
Bivariato surfaces, Bibl., Pretorius (1930) 487
Bivariato surfaces, Bibl., Rhodes (1923, 1925) 488
Bivariato surfaces, Bibl., Ritchie — Scott (1921) 489
Bivariato surfaces, Bibl., Villars and Anderson (1943) 496
Blocks, randomised 213—214
Blocks, randomised, Bibl., Cornish (1940a, b, c) 453
Blocks, randomised, Bibl., Cox (1940) 453
Blocks, randomised, Bibl., Fisher (1940b, 1942a) 462
Blocks, randomised, Bibl., Goulden (1937) 465
Blocks, randomised, Bibl., Kishen (1942) 473
Blocks, randomised, Bibl., Nair (1943) 479
Blocks, randomised, Bibl., Nair and Rao (1942) 479
Blocks, randomised, Bibl., R.C. Bose (1939) 448
Blocks, randomised, Bibl., R.C. Bose (1942a) 448
Blocks, randomised, Bibl., R.C. Bose and Nair (1939) 448
Blocks, randomised, Bibl., Savur (1939) 490
Blocks, randomised, Bibl., Yates (1936b, 1939a, 1940) 502
Bose, C., N.R. 266
Bose, R.C., N.R. 359
Bowley, A.L., N.R. 266
Brady, J., N.R. 245
Brandt, A.E., (Example 24.1) 221—225
Brandt, A.E., N.R. 245
Breeds of pig, (Example 24.1) 221—225
Breeds of pig, (Example 24.2) 225
Breeds of pig, (Example 24.3) 226—227
Breeds of pig, (Example 24.4) 229
Brookner, R.J., N.R. 304
Brown — Spearman formula, Bibl., Wherry (1935) 499
Brown, G.W., bias in tests 323
Brown, G.W., N.R. 304
Bruns, H., N.R. 437
Brunt, D., N.R. 437
Brunt, D., rainfall data, (Table 29.4) 367
Burr, I.W., distribution functions 440
Buys — Ballot table 430
Calculating machines, Bibl., Comrie (1936) 452
Calculating machines, Bibl., Hey (1938) 468
Calculating machines, Bibl., Mallock (1933) 477
Canonical correlations 348—358 see
Canonical correlations, Bibl., Bartlett (1941) 445
Canonical correlations, Bibl., Hotelling (1936b) 469
Canonical correlations, Bibl., P.L. Hsu (1941a) 469
Carleman criterion 440
Cauchy population, (Example 18.2) 5
Cauchy population, approximation to estimator for, (Example 17.11) 23—24
Cauchy population, estimation of location 2
Cauchy population, loss of information, (Example 17.16) 32
Cauchy population, median in, (Example 17.4) 6
Cave, B.M., N.R. 394
Cement, specification of, Bibl., Wilsdon (1934) 500
Central confidence intervals 66
Central limit theorem see "Convergence in Probability"
Central limit theorem, Bibl., Bernstein (1927, 1936) 446
Central limit theorem, Bibl., Bochner (1936) 447
Central limit theorem, Bibl., Feller (1936b, 1937) 460
Central limit theorem, Bibl., Gnedenko (1938) 465
Central limit theorem, Bibl., Liapounoff (1900, 1901) 476
Central limit theorem, Bibl., Lindeberg (1922) 476
Central limit theorem, Bibl., Madow (1939) 476
Central limit theorem, Bibl., Polya (1920) 487
Centre of location 41
Chains, in probability see "Markoff Process"
Characteristic equation, Bibl., Horst (1935) 469
Characteristic equation, Bibl., Samuelson (1942) 490
Characteristic functions, Bibl., Boas and Smithies (1937) 447
Characteristic functions, Bibl., Dugue (1939) 458
Characteristic functions, Bibl., Glivenko (1936) 465
Characteristic functions, Bibl., Haviland (1934b, 1935) 468
Characteristic functions, Bibl., Kullback (1934, 1936b) 474
Characteristic functions, Bibl., Kunetz (1936) 474
Characteristic functions, Bibl., Wintner (1936) 500
Charlier's series see "Gram — Charlier Series"
Chi-squared , generalisation in multivariate analysis see "Wishart's Distribution"
Chi-squared , in testing goodness of lit 106—107
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