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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
Multivariate analysis, Bibl., Fisher (1936a, b, 1938c, 1939b, 1940d)      462
Multivariate analysis, Bibl., Hotelling (1933, 1936a, b)      469
Multivariate analysis, Bibl., Madow (1937, 1938)      476
Multivariate analysis, Bibl., Mahalanobis (1930, 1936a)      476
Multivariate analysis, Bibl., Mahalanobis and others (1936b)      476
Multivariate analysis, Bibl., Martin (1936)      477
Multivariate analysis, Bibl., P.L. Hsu (1939b, 1941a, c, d)      469
Multivariate analysis, Bibl., Rider (1936)      488
Multivariate analysis, Bibl., Roy (1938, 1939a, b, 1942a, b)      489
Multivariate analysis, Bibl., Simonsen (1937)      491
Multivariate analysis, Bibl., Wald and Brookner (1941b)      498
Multivariate analysis, canonical correlations      348—358
Multivariate analysis, discriminatory analysis      341—348
Multivariate analysis, Hotelling's distribution      335—338
Multivariate analysis, significance of set of means      338—341
Multivariate analysis, Wishart's distribution      330—334
Multivariate distributions      see also "Multiple Correlation"
Multivariate distributions, Bibl., Leser (1942)      475
Multivariate distributions, estimation in      33—37
Multivariate distributions, Lukomski (1939)      476
Multivariate distributions, Mahlmann (1935)      477
Multivariate distributions, normal      see "Normal"
Myers, R.J., N.R.      45
Nair, K.R., confidence intervals for median      81
Nair, K.R., N.R.      83
Nayer, K.R., N.R.      304
Nayer, P.N., testing hypotheses      299
Negative binomial      see "Polya Distribution"
Negative binomial, Bibl., Fisher (1941b)      462
Negative binomial, Bibl., Greenwood and Yule (1920)      466
Neyman, J., (Exercise 21.12)      140
Neyman, J., (Exercise 27.3)      327
Neyman, J., (Exercises 19.2, 19.3)      83
Neyman, J., (Exercises 26.2, 26.3)      304
Neyman, J., (Exercises 26.4, 26.5)      305
Neyman, J., Behrens' test      93
Neyman, J., confidence intervals      75—76
Neyman, J., N.R.      45 83 94 136 172 266 303 304 326
Neyman, J., randomised blocks      214
Neyman, J., theory of tests      270 299 308 311 323
Nisbet, S.D., (Example 25.1)      258—259
Non-central confidence intervals      66
Non-central t, Bibl., N.L. Johnson and Welch (1940a)      471
Non-normal data, in variance-analysis      205—215
Non-normal populations, Bibl., A.N.K. Nair (1942)      479
Non-normal populations, Bibl., Baker (1934)      444
Non-normal populations, Bibl., Bartlett (1935a)      445
Non-normal populations, Bibl., C.C. Craig (1941a)      454
Non-normal populations, Bibl., E.S. Pearson (1931b)      482
Non-normal populations, Bibl., Geary (1936b)      464
Non-normal populations, Bibl., Laderman (1939)      474
Non-normal populations, Bibl., Pearson and Adyanthaya (1928, 1929)      482
Non-normal populations, Bibl., Rider (1931a)      487
Non-normal populations, Bibl., Rietz (1932, 1939)      488
Non-normal populations, Bibl., Thorndike (1937)      494
Non-orthogonal data, Bibl., K.R. Nair (1942)      479
Non-orthogonal data, Bibl., Wilks (1938e)      500
Non-orthogonal data, Bibl., Yates (1934a)      501
Non-parametric tests      322
Non-parametric tests, Bibl., Scheffe (1943)      490
Non-random samples, Bibl., "Student" (1909)      493
Nonsense correlations, Bibl., Yule (1926)      503
Normal equations, solution of, Bibl., Hoel (1941)      468
Normal population, (Example 17.18)      37—38
Normal population, (Example 17.6)      11
Normal population, (Example 17.7)      19—20
Normal population, (Example 18.1)      51
Normal population, (Example 18.4)      54—55
Normal population, (Example 19.3)      70
Normal population, Bibl., Baker (1931)      444
Normal population, Bibl., Bergstroem (1918)      446
Normal population, Bibl., C.T. Hsu (1940, 1941)      469
Normal population, Bibl., Cramer (1923, 1936)      454
Normal population, Bibl., Erdoes and Kac (1939)      459
Normal population, Bibl., Haldane (1942a, b)      467
Normal population, Bibl., Isserlis (1918b)      470
Normal population, Bibl., K. Pearson (1924c)      485
Normal population, Bibl., Kac (1939)      472
Normal population, Bibl., Khintchine (1935)      473
Normal population, Bibl., Kullback (1935a)      474
Normal population, Bibl., Ledermann (1939)      475
Normal population, Bibl., Lehmann (1939)      475
Normal population, Bibl., Lengyel (1939)      475
Normal population, Bibl., Polya (1923)      487
Normal population, Bibl., Raikov (1938)      487
Normal population, Bibl., Rhodes (1928)      488
Normal population, Bibl., Tricomi (1935, 1936a, 1936b)      495
Normal population, Bibl., Yule (1938b)      503
Normal population, bivariate, (Example 17.17)      33—34
Normal population, centre of location of, (Example 17.22)      42
Normal population, confidence intervals for mean, (Example 19.1)      63—64
Normal population, estimation of mean      2
Normal population, estimation of variance, (Example 17.6)      11
Normal population, fiducial distribution      85
Normal population, regressions of, (Example 22.1)      144
Normalisation of frequency functions, Bibl., Cornish and Fisher (1937)      453
Normalisation of frequency functions, Bibl., Haldane (1938)      467
Normalisation of frequency functions, Bibl., Mahalanobis and others (1936b)      476
Normalisation of frequency functions, Bibl., Paulson (1942)      482
Normality, tests of      105—106
Normality, tests of, Bibl., E.S. Pearson (1930, 1935c)      482
Normality, tests of, Bibl., Fisher (1930b)      461
Normality, tests of, Bibl., Geary (1935a, b, 1936a)      464
Normality, tests of, Bibl., Geary and Pearson (1938)      464
Normality, tests of, Bibl., Yasukawa (1934)      501
Nuisance parameters      134
Nuisance parameters, Bibl., Hotelling (1940)      469
Olds, E.G., N.R.      266.
Omega, for testing goodness of fit      107—109
Omega, for testing goodness of fit, Bibl., Smirnoff (1936)      491
One-sided confidence intervals      76
Oppenheim, S., N.R.      437
Order, in random series      122—124 see
Orthogonal data, in variance-analysis      219 254
Orthogonal polynomials      146—154 159—167
Orthogonal polynomials, Bibl., Aitken (1932, 1933a, b, c)      442
Orthogonal polynomials, Bibl., Allan (1930)      443
Orthogonal polynomials, Bibl., C.D. Smith (1939)      491
Orthogonal polynomials, Bibl., Dieulefait (1934b)      456
Orthogonal polynomials, Bibl., Fisher (19216, 1924b)      461
Orthogonal polynomials, Bibl., Greenleaf (1932)      465
Orthogonal polynomials, Bibl., Jackson (1934, 1937, 1938)      471
Orthogonal polynomials, Bibl., Jordan (1932)      472
Orthogonal polynomials, Bibl., Lidstone (1933)      476
Orthogonal polynomials, Bibl., Romanovsky (1927)      489
Orthogonal polynomials, Bibl., Sansone (1933)      490
Orthogonal polynomials, Bibl., Shohat (1935)      491
Orthogonal polynomials, Bibl., Tartler (1935)      494
Orthogonal polynomials, Bibl., Tchebycheff (1907)      494
Orthogonal polynomials, Bibl., Webster (1938)      498
Orthogonal polynomials, Bibl., Wishart (1933a)      500
Orthogonal polynomials, Bibl., Wong (1935)      501
Orthogonal transformations, Bibl., Landahl (1938)      474
Orthogonal transformations, Bibl., Ledermann (1938)      475
oscillations      see "Periodicity"
Oscillations, in time-series      369 370 380 397—398
p-statistics      see "Multivariate Analysis"
p-statistics, Bibl., Roy (1939b, 1942a)      489
Paired comparisons, Bibl., Kendall and Babington Smith (1940)      472
Parameters of location and scale      40—42
Parameters, estimation of      see "Estimation"
Partial correlations, Bibl., Isserlis (1914, 1916)      470
Partial correlations, Bibl., Stouffer (1934)      493
Partial correlations, Bibl., Subramanian (1935)      493
Pasteurised milk, in feeding, (Example 21.1.4)      133
Path coefficients, Bibl., Engelhart (1936)      459
Path coefficients, Bibl., Wright (1934)      501
Paulson, E.A., N.R.      136
Paulson, E.A., z-distribution      118
Peaks, in time-series      124
Pearson distributions      see also "Type I"
Pearson distributions, Bibl., Ambarzumian (1937)      443
Pearson distributions, Bibl., Baker (1940)      444
Pearson distributions, Bibl., Beale (1937)      446
Pearson distributions, Bibl., C.C. Craig (1936b)      454
Pearson distributions, Bibl., Dieulefait (1935b)      456
Pearson distributions, Bibl., Fisher (1921a)      461
Pearson distributions, Bibl., Hildebrandt (1931)      468
Pearson distributions, Bibl., Irwin (1930)      470
Pearson distributions, Bibl., K. Pearson (1894, 1895, 1901b)      483
Pearson distributions, Bibl., K. Pearson (1916a)      484
Pearson distributions, Bibl., K. Pearson (1924a)      485
Pearson distributions, Bibl., Romanovsky (1924)      489
Pearson distributions, Bibl., Wishart (1926)      500
Pearson distributions, moments in fitting      43—44
Pearson distributions, sufficient estimators in (Exercise 17.18)      49
Pearson, E.S., (Exercise 23.4)      216—217
Pearson, E.S., (Exercises 26.2, 26.3, 26.4, 26.6)      304—305
Pearson, E.S., analysis of covariance      238
Pearson, E.S., confidence intervals for binomial      81
Pearson, E.S., N.R.      45 83 136 137 245 266 303 304 359
Pearson, E.S., t in non-normal case      103
Pearson, E.S., test of normality      106
Pearson, E.S., z in non-normal case      205
Pearson, K., (Example 21.14)      133
Pearson, K., N.R.      45 137 172 173 394
Peas, yields of, (Example 23.5)      200—202
Periodicity and periodogram analysis      423—425 432—433 433—435
Periodicity and periodogram analysis, Bibl      see also "Harmonic Analysis" "Time-series"
Periodicity and periodogram analysis, Bibl., Alter (1924, 1925, 1926a, b, 1933, 1937)      443
Periodicity and periodogram analysis, Bibl., Beveridge (1921, 1922)      446
Periodicity and periodogram analysis, Bibl., Bradley and Crum, (1939)      449
Periodicity and periodogram analysis, Bibl., Brans (1921)      449
Periodicity and periodogram analysis, Bibl., Brownlee (1924b)      449
Periodicity and periodogram analysis, Bibl., Brunt (1925, 1928)      449
Periodicity and periodogram analysis, Bibl., Buys-Ballot (1847)      450
Periodicity and periodogram analysis, Bibl., Crum (1923, 1925)      454
Periodicity and periodogram analysis, Bibl., Dodd (1930)      456
Periodicity and periodogram analysis, Bibl., Dodd (1939a, b, 1941a, b)      457
Periodicity and periodogram analysis, Bibl., Frisch (1928, 1931, 1933)      463
Periodicity and periodogram analysis, Bibl., Greenstein (1935)      465
Periodicity and periodogram analysis, Bibl., Hersch (1934)      468
Periodicity and periodogram analysis, Bibl., J.I. Craig (1916)      454
Periodicity and periodogram analysis, Bibl., Kalecki (1935)      472
Periodicity and periodogram analysis, Bibl., Koopmans (1940)      474
Periodicity and periodogram analysis, Bibl., Kuznets (1929, 1933)      474
Periodicity and periodogram analysis, Bibl., Larmor and Yamaga (1917)      475
Periodicity and periodogram analysis, Bibl., Mitchell (1913)      478
Periodicity and periodogram analysis, Bibl., Mitchell and Burns (1935)      478
Periodicity and periodogram analysis, Bibl., Moore (1914, 1923)      478
Periodicity and periodogram analysis, Bibl., Moulton (1938)      478
Periodicity and periodogram analysis, Bibl., Oppenheim (1909)      481
Periodicity and periodogram analysis, Bibl., Pietra (1925)      486
Periodicity and periodogram analysis, Bibl., Pollak (1927)      487
Periodicity and periodogram analysis, Bibl., Pollak and Kaiser (1935)      487
Periodicity and periodogram analysis, Bibl., Powell (1930)      487
Periodicity and periodogram analysis, Bibl., Savur (1941)      490
Periodicity and periodogram analysis, Bibl., Schuster (1898, 1899, 1906)      490
Periodicity and periodogram analysis, Bibl., Soper (1929b)      492
Periodicity and periodogram analysis, Bibl., Starkey (1939)      492
Periodicity and periodogram analysis, Bibl., Stumpff (1926, 1937)      493
Periodicity and periodogram analysis, Bibl., Tinbergen (1937, 1938)      495
Periodicity and periodogram analysis, Bibl., Tintner (1935)      495
Periodicity and periodogram analysis, Bibl., Trachtenberg (1921)      495
Periodicity and periodogram analysis, Bibl., Vinci (1934)      496
Periodicity and periodogram analysis, Bibl., Walker (1914, 1925, 1927, 1931)      498
Periodicity and periodogram analysis, Bibl., Wallis and Moore (1941)      498
Periodicity and periodogram analysis, Bibl., Yule (1927a)      503
Phases, in time-series      124 125—126
Pilot sampling      252
Pilot sampling, N.R.      266
Pitman, E.J.G., (Exercise 21.15)      140
Pitman, E.J.G., (Exercise 21.3)      138
Pitman, E.J.G., (Exercise 27.2)      326
Pitman, E.J.G., (Exercises 17.9, 17.10, 17.11)      47
Pitman, E.J.G., N.R.      45 137 216
Pitman, E.J.G., tests of hypotheses      323—326
Pitman, E.J.G., tests of significance      128—132 136
Pitman, E.J.G., z-test      211
Plant breeding, Bibl., Y. Tang (1938)      494
Plot arrangements      see "Design"
Plot arrangements, Bibl., Tedin (1931)      494
Poisson distribution, (Example 17.9)      21—22
Poisson distribution, Bibl., "Student" (1907, 1919)      493
Poisson distribution, Bibl., Ackermann (1939)      442
Poisson distribution, Bibl., Cochran (1936a, 1940b)      452
Poisson distribution, Bibl., Copeland and Regan (1936)      453
Poisson distribution, Bibl., Doetsch (1934)      457
Poisson distribution, Bibl., Fisher and others (1922c)      461
Poisson distribution, Bibl., Garwood (1936)      464
Poisson distribution, Bibl., Irwin (1935, 1937a)      470
Poisson distribution, Bibl., Levy (1937a)      475
Poisson distribution, Bibl., Liiders (1934)      476
Poisson distribution, Bibl., Molina (1942)      478
Poisson distribution, Bibl., Poisson (1837)      487
Poisson distribution, Bibl., Przyborowski and Wilenski (1940)      487
Poisson distribution, Bibl., R.A. Chapman (1938)      451
Poisson distribution, Bibl., Raikov (1936)      487
Poisson distribution, Bibl., Ricker (1937)      488
Poisson distribution, Bibl., Satterthwaite (1943)      490
Poisson distribution, Bibl., Sukhatme (1937b, 1938a)      494
Poisson distribution, Bibl., von Bortkiewicz (1898, 1910)      496
Poisson distribution, Bibl., Weida (1935)      498
Poisson distribution, Bibl., Whitaker (1914)      499
Poisson distribution, conditional test for, (Example 21.12)      127
Poisson distribution, confidence intervals for, (Example 19.4)      70—71 81
Poisson distribution, in variance-analysis      206—207
Poisson's theorem in probability      see "Central Limit Theorem"
Poisson's theorem in probability, Bibl., Bochner (1936)      447
Poisson's theorem in probability, Bibl., Bonferroni (1933)      447
Polya distribution      see "Negative Binomial"
Polya distribution, Bibl., del Chiaro (1936)      456
Polya distribution, Bibl., S. Guldberg (1935)      466
Polychoric correlations, Bibl., Pearson and Pearson (1922b)      485
Polychoric correlations, Bibl., Ritchie Scott (1918)      489
Polynomials, expansions in      see "Orthogonal Polynomials" "Curve
Polynomials, expansions in, Bibl., Cacciopolli (1932)      450
Polynomials, expansions in, Bibl., Davis (1933)      455
Population analysis, Bibl., Lotka (1938, 1939)      476
Population analysis, Bibl., Pearl and Reed (1923)      482
Population analysis, Bibl., Volterra (1936)      496
Population of England and Wales, (Example 22.7)      161—163
Population of England and Wales, (Examples 22.8. 22.9)      164—167
Population of England and Wales, (Table 29.2, Figure 29.2)      365
Potato yields, (Example 21.11)      126
Power of a test      272 307—308 see
Power of a test, Bibl., Dantzig (1940)      455
Power of a test, Bibl., Eisenhart (1938)      459
Power of a test, Bibl., G.W. Brown (1939)      449
Power of a test, Bibl., MacStewart (1941)      476
Power of a test, Bibl., P.C. Tang (1938)      494
Power of a test, Bibl., P.L. Hsu (1941b)      469
Power of a test, Bibl., Simaika (1941)      491
Powers of normal variates, Bibl., Haldane (1942a)      467
Prediction      see "Forecasting"
Pretorius, S.J., N.B.      173
Principal components, Bibl., Girshik (1936)      465
Principal components, Bibl., Hotelling (1933, 1936a)      469
Principal components, Bibl., Landahl (1938)      474
Principal components, Bibl., Ledermann (1938)      475
Principal components, Bibl., Thurstone (1935)      495
Probability, Bibl., Bartlett (1933b)      445
Probability, Bibl., Beck (1936)      446
Probability, Bibl., Belardinelli (1934)      446
Probability, Bibl., Borel (1939)      447
Probability, Bibl., Broderick (1937)      449
Probability, Bibl., Cantelli (1932, 1933b)      450
Probability, Bibl., Castelnuovo (1932)      451
Probability, Bibl., Cramer (1937, 1938, 1939)      454
Probability, Bibl., de Finetti (1933a, b, 1939a)      456
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