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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
Frequency theory of probability, Bibl., Doerge (1934, 1936)      458
Frequency theory of probability, Bibl., von Mises (1931)      497
Frequency-distributions      see "Distributions"
Friedman, M., (Example 23.9)      214—215
Frisch, R., N.R.      358
Galton's problem      see "Rank Correlation"
Galton's problem, Bibl., Galton (1902)      464
Galton's problem, Bibl., Irwin (1925a)      470
Galton's problem, Bibl., K. Pearson (1902c)      484
Gamma distribution      see "Type III"
Gamma distribution, Bibl., Kibble (1941)      473
Garwood, F., confidence intervals for Poisson distribution      81
Gauss, K.F., N.R.      45
Gauss, K.F., standard errors      153
Gauss, K.F., variance of residuals      60—61
Gaussian distribution      see "Normal Population"
Geary's ratio, Bibl., Geary (1935a, b, 1936a)      464
Geary's ratio, Bibl., Tricomi (1937)      495
Geary, R.C., (Exercises 21.1, 21.2)      137—138
Geary, R.C., distribution of t      102—104
Geary, R.C., N.R.      45 136
Geary, R.C., test of normality      106
Geary, R.C., theorem on independence      118
General factor (intelligence)      see "Factor Analysis"
Generalised distance, of Mahalanobis, N.R.      359
Generating functions      see "Characteristic Functions"
Generating functions, Bibl., Aitken (1931)      442
Geometric Mean, Bibl., Camp (1938a)      450
Geometric Mean, Bibl., Norris (1938, 1940)      481
Germination of wheat-seeds, (Example 23.7)      207—209
Gini's mean difference      108
Girshik, M.R., (Exercise 28.11)      362
Girshik, M.R., N.R.      359
Glass, seed in, (Example 23.6)      202—204
Goodness of fit      see "Chi-squared"
Goodness of fit, Bibl., David (1939)      455
Goodness of fit, Bibl., K. Pearson (1934)      486
Goodness of fit, Bibl., Neyman (1937a)      480
Goodness of fit, Bibl., Thomson (1919a)      494
Goodness of fit, tests of      106—109
Gosset, W.S. ("Student")      80 266
Gosset, W.S., N.R.      394
Gould, C.E., (Example 23.6)      202—204
Goulden, C.H., N.R.      216 266
Grades      see "Rank Correlation" "Galton's
Graduation      see "Interpolation" "Least "Orthogonal "Trend"
Graduation, Bibl., Aitken (1933a, b, c)      442
Graduation, Bibl., Keyfitz (1938)      473
Graeco-Latin square      261—262
Graeco-Latin square, Bibl., R.C. Bose (1938b)      448
Gram — Charlier series, Bibl., Aitken (1932)      442
Gram — Charlier series, Bibl., Aitken and Oppenheim (1931)      442
Gram — Charlier series, Bibl., Aroian (1937)      444
Gram — Charlier series, Bibl., Baker (1930d, 1935)      444
Gram — Charlier series, Bibl., C.C. Craig (1931b)      454
Gram — Charlier series, Bibl., Charlier (1906, 1912, 1928, 1931)      451
Gram — Charlier series, Bibl., Cornish and Fisher (1937)      453
Gram — Charlier series, Bibl., Cramer (1926, 1935b)      454
Gram — Charlier series, Bibl., Doetsch (1934)      457
Gram — Charlier series, Bibl., Edgeworth (1905)      458
Gram — Charlier series, Bibl., Gram (1879)      465
Gram — Charlier series, Bibl., Hildebrandt (1931)      468
Gram — Charlier series, Bibl., Jacob (1933, 1935, 1937)      471
Gram — Charlier series, Bibl., Meisener (1938)      477
Gram — Charlier series, Bibl., Quensel (1938)      487
Gram — Charlier series, Bibl., Samuelson (1943)      490
Gram — Charlier series, Bibl., Schmidt (1934)      490
Gram — Charlier series, Bibl., Steffensen (1930)      492
Gram — Charlier series, Bibl., Wicksell (1917b, 1934a)      499
Gram — Charlier series, estimation in (Exercise 18.1)      61
Gram — Charlier series, for non-normal t      103
Gram — Charlier series, goodness of fit in      109
Gram — Charlier series, in z-distribution      116
Greenstein, B., N.R.      437
Grouping corrections, Bibl., Abernethy (1933)      442
Grouping corrections, Bibl., Alter (1939)      443
Grouping corrections, Bibl., Baton (1931)      445
Grouping corrections, Bibl., Bluemel, (1939)      447
Grouping corrections, Bibl., Burkhardt and Stackelberg (1939)      449
Grouping corrections, Bibl., C.C. Craig (1936c, 1941b)      454
Grouping corrections, Bibl., Carver (1933, 1936)      451
Grouping corrections, Bibl., Elderton (1933, 1938b)      459
Grouping corrections, Bibl., Kendall (1938a)      472
Grouping corrections, Bibl., Lewis (1935)      475
Grouping corrections, Bibl., Sandon (1924)      490
Grouping, effect on correlations, Bibl., Gehlke and Biehl (1934)      464
Grouping, significance of, Bibl., Stevens (1937b)      493
Groups of experiments, Bibl., Yates and Cochran (1938b)      502
Hampton, W.M., (Example 23.6)      202—204
Hansmann, G.H., N.R.      45
Harmonic analysis      see "Periodicity"
Harmonic analysis, Bibl., Brunt (1928)      449
Harmonic analysis, Bibl., Carslaw (1930)      451
Harmonic analysis, Bibl., Fisher (1929a)      461
Harmonic analysis, Bibl., Fisher (1940a)      462
Harmonic analysis, Bibl., Frisch (1928, 1931, 1933)      463
Harmonic analysis, Bibl., Pollak (1926)      487
Harmonic analysis, Bibl., T.F. Anderson (1935)      443
Harmonic analysis, Bibl., Turner (1913)      496
Harmonic analysis, Bibl., Wiener (1930)      499
Harmonic mean      see "Mean Values"
Harmonic mean, Bibl., Norris (1939)      481
Hartley, H.O., k samples      299
Hartley, H.O., N.R.      137 216 304
Hartley, H.O., on z-test      199
Heads and tails      see "Duration of Play"
Heads and tails, Bibl., Fieller (1931c)      460
Hendricks, W.A., (Exercise 21.9)      139
Hendricks, W.A., N.R.      136
Hermite polynomials      see "Tchebycheff — Hermite Polynomials"
Heterogeneous populations      see also "Lexis Theory" "Stratified
Heterogeneous populations, Bibl., Baker (1930c, 1932)      444
Hierarchies in correlation      see "Factor Analysis"
Hierarchies in correlation, Bibl., Thomson (1916, 1919b, 1935)      494
Hierarchies in correlation, Bibl., Wilson (1928)      500
Higham, J.A., (Exercise 29.7)      395
Highest audible pitch, (Example 22.4)      152—153
Highest audible pitch, (Example 22.5)      155—156
Hirschfeld, H.O.      see "Hartley H.O."
Homogeneity      see "k samples"
Homogeneity, Bibl., Baker (1941)      444
Homogeneity, Bibl., Hartley (1940)      467
Homogeneity, Bibl., Welch (1938a)      498
Horse population and wheat prices      436
Hotelling's T      323 335—338
Hotelling's T, Bibl., Hotelling (1931)      469
Hotelling's T, Bibl., P.L. Hsu (1938c)      469
Hotelling's T, N.R.      359
Hotelling, H., (Exercises 28.7—28.10)      360—362
Hotelling, H., canonical correlations      348—358
Hotelling, H., N.R.      45 136 359
Hsu P.L., canonical correlations      357
Hsu P.L., linear hypothesis      301
Hsu P.L., N.R.      304 359
Hsu P.L., Wishart's distribution      333
Hypergeometric series, Bibl., Ayyangar (1934)      444
Hypergeometric series, Bibl., Camp (1925a)      450
Hypergeometric series, Bibl., Gonin (1936)      465
Hypergeometric series, Bibl., K. Pearson (1899b)      483
Hypergeometric series, Bibl., K. Pearson (1924b, c)      485
Hypergeometric series, Bibl., O.L. Davies (1933, 1934)      455
Hypergeometric series, Bibl., Romanovsky (1925b)      489
Hypotheses, testing of      see "Statistical Hypotheses"
Imaginary random variables, Bibl., Eyraud (1938b)      459
Immunity, Bibl., Brownlee (1905)      449
Incomes, distribution of, Bibl., Cantelli (1929)      450
Incomes, distribution of, Bibl., Darmois (1933)      455
Incomplete blocks      see "Blocks"
Independence, of quadratic forms, Bibl., A.T. Craig (1936a, 1943)      453
Independence, of quadratic forms, Bibl., Cochran (1934)      452
Independence, of quadratic forms, Bibl., Madow (1940)      476
Independence, statistical      see also "Correlation" "Contingency"
Independence, statistical, Bibl., del Vecchio (1933)      456
Independence, statistical, Bibl., Kac and van Kampen (1939)      472
Independence, statistical, Bibl., Marcinkiewicz and Zygmund (1937)      477
Independence, statistical, Bibl., Tschuprow (1934)      496
Index numbers, Bibl., Bowley (1926)      448
Index numbers, Bibl., Claremont (1916)      452
Index numbers, Bibl., Crowther (1934)      454
Index numbers, Bibl., Dodd (1937c)      457
Index numbers, Bibl., Edgeworth (1925a, b, c)      459
Index numbers, Bibl., Flux (1921, 1933)      463
Index numbers, Bibl., Frickey (1937)      463
Index numbers, Bibl., Frisch (1930)      463
Index numbers, Bibl., Haberler (1927)      467
Index numbers, Bibl., I. Fisher (1922)      460
Index numbers, Bibl., Konoes (1939)      474
Index numbers, Bibl., Persons (1928)      486
Index numbers, Bibl., Rhodes (1936)      488
Index numbers, Bibl., Schultz (1939)      490
Index numbers, Bibl., Yates (1939c)      502
Index, distribution of      see "Ratio"
Indices, correlation of, Bibl., Baker (1937)      444
Indices, correlation of, Bibl., Claremont (1916)      452
Indices, correlation of, Bibl., J.W. Brown and others (1914)      449
Industrial accidents, Bibl., Newbold (1927)      479
Industrial processes      see "Quality Control"
Inequalities, Bibl., C.D. Smith (1930)      491
Inequalities, Bibl., Mortara (1934)      478
Inequalities, Bibl., Narurni (1923b)      479
Inequalities, Bibl., Norris (1935, 1937)      481
Inequalities, Bibl., Romanovsky (1938)      489
Inequalities, Bibl., Shohat (1929)      491
Inequalities, Bibl., von Mises (1939b)      497
Inequalities, Bibl., Wald (1938)      497
Infantile mortality, Bibl., Fold (1924)      460
Infection in potatoes, (Example 24.5)      230—232
Infection in potatoes, (Example 24.6)      232—233
Inference      see "Statistical Hypotheses"
Information, amount of      29—30
Information, Bibl., Bartlett (1936a, b)      445
Information, Bibl., Fisher (1934b, 1935a)      462
Information, in minimum $\chi^{2}$      57—58
Information, loss of      30—32
Intensity, of a periodogram      425
Interaction, in variance-analysis      187 188—189
Interference, analysis of, Bibl., Stevens (1936)      493
Interpolation      see also "Graduation" "Least "Orthogonal
Interpolation, Bibl., Comrio (1936)      452
Interpolation, Bibl., Erdoes and Turan (1937, 1938)      459
Interpolation, Bibl., Feldheim (1936a)      460
Interpolation, Bibl., Fisher and Wishart (1927)      461
Interpolation, Bibl., Gini (1921)      465
Interpolation, Bibl., Lidstone (1937)      476
Interpolation, Bibl., Pietra (1932b)      486
Interpolation, Bibl., Salvemini (1934)      490
Interpolation, Bibl., Simaika (1942)      491
Interpolation, Bibl., Tchebycheff (1907)      494
Intra-class correlation      181
Intra-class correlation, Bibl., Harris (1914)      467
Intra-class correlation, Bibl., Harris and Gunstad (1931)      467
Intrinsic accuracy, in estimation      28—29
Invariants of frequency curves, Bibl., Zoch (1934)      503
Inverse probability, Bibl., Bayes (1763)      446
Inverse probability, Bibl., Fisher (1926c, 1930a)      461
Inverse probability, Bibl., Fisher (1932, 1935a)      462
Inverse probability, Bibl., Isserlis (1936)      471
Inverse probability, Bibl., Jeffreys (1937b)      471
Inverse probability, Bibl., Tornier (1937)      495
Inverse probability, Bibl., Wisniewski (1937b)      501
Inverse probability, in estimation      58—59
Inverse probability, relationship with fiducial inference      90—91 93—94
Iris (flower), (Example 28.2)      342—344
Irregular Kollektiv      123 see
Irwin, J.O., (Exercise 23.1)      216—217
Irwin, J.O., N.R.      216
Irwin, J.O., sampling moments      440
Item analysis, Bibl., Merril (1937)      478
iterations      see "Runs"
J-shaped distributions, Bibl., Elderton (1933)      459
J-shaped distributions, Bibl., Solomon (1939)      492
Jackson, W.R., N.R.      304
Jeffreys, H., (Example 18.5)      56—57
Jeffreys, H., fiducial inference      90—91 93—94
Jeffreys, H., N.R.      61 94 266
Jensen, A., N.R.      266
Joint sufficiency      39
Judgments, validity of, Bibl., Eysenck (1939)      459
k samples      see "L-tests"
k samples, (Exercise 27.2)      326
k samples, bias in      323
k samples, Bibl., Bartlett (1934a)      445
k samples, Bibl., Bishop (1939)      447
k samples, Bibl., Bishop and Nair (1939)      447
k samples, Bibl., G.W. Brown (1939)      449
k samples, Bibl., Keyman and Pearson (1931b)      480
k samples, Bibl., Pearson and Wilks (1933b)      482
k samples, Bibl., R.C. Bose and Roy (1940)      448
k samples, Bibl., Sukhatme (1936b)      493
k samples, Bibl., Sukhatme (1937b)      494
k samples, Bibl., Welch (1935)      498
k samples, Bibl., Wilks (1935b)      499
k samples, problem of      119—122 295—299
k-statistics      see also "Moments sampling"
k-statistics, Bibl., C.T. Hsu and Lawley (1939)      469
k-statistics, Bibl., Fisher (1929b)      461
k-statistics, Bibl., Fisher and Wishart (1931)      462
k-statistics, Bibl., Kendall (1940)      472
k-statistics, Bibl., Kendall (1942b)      473
k-statistics, Bibl., Wishart (1929a, b, 1930, 1933b)      500
Kelley, T.L., (Example 28.4)      351—352
Kermack, W.O., N.R.      136
Keynes, Lord, (Exercise 17.7)      47
Kolmogoroff, A., confidence intervals for terminals      83
Kolodzieczyk, St., linear hypothesis      293
Kolodzieczyk, St., N.R.      304
Koopman, B.O., (Exercises 17.13, 17.14)      48
Koopman, B.O., N.R.      45
Koshal, R., N.R.      45
Kronecker delta      329
Kurtic curve      142
Kurtosis, Bibl., Frisch (1934a)      464
L-tests      see "k samples"
L-tests, Bibl., Mahalanobis (1933)      476
L-tests, Bibl., Mood (1939)      478
L-tests, Bibl., Nayer (1936)      479
L-tests, Bibl., Paulson (1941)      482
L-tests, Bibl., Welch (1936a)      498
L-tests, Bibl., Wilks and Thompson (1937a)      499
Lag correlation      435—436
Lags, distributed, Bibl., Alt (1942)      443
Lags, distributed, Bibl., K.R. Nair (1936)      479
Lags, distributed, Bibl., Koopmans (1941)      474
Lags, distributed, Bibl., Zrzavy (1933)      503
Lanarkshire milk investigation, N.R.      266
Large numbers, law of      see "Convergence in Probability"
Largest member of a sample      see "Extremes"
Largest member of a set of variances      see "Variance ratio"
Latent roots of a matrix      see "Matrix"
Latin squares      257—262 266
Latin squares, Bibl., Euler (1782)      459
Latin squares, Bibl., Fisher (1942d, e)      462
Latin squares, Bibl., Fisher and Yates (1934c)      462
Latin squares, Bibl., H. Norton (1939)      481
Latin squares, Bibl., Mann (1943)      477
Latin squares, Bibl., R.C. Bose (1938b)      448
Latin squares, Bibl., R.C. Bose and Nair (1942b)      448
Latin squares, Bibl., Stevens (1938b)      493
Latin squares, Bibl., Welch (1937)      498
Latin squares, Bibl., Yates (1933c)      501
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