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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
Latin squares, Bibl., Yates (1936a)      502
Lattices, distributions on, van Kampen and Wintner (1939b)      496
Lawley, D.N., N.R.      359
Least squares, Bibl., Adcock (1878)      442
Least squares, Bibl., Aitken (1933a, b, c, 1935a)      442—443
Least squares, Bibl., David and Neyman (1938c)      455
Least squares, Bibl., Davis (1933)      455
Least squares, Bibl., Deming (1931, 1934, 1935, 1937)      456
Least squares, Bibl., E. Johnson (1940)      471
Least squares, Bibl., Hendricks (1931, 1934)      468
Least squares, Bibl., Jones (1937a)      472
Least squares, Bibl., Jordan (1932, 1934)      472
Least squares, Bibl., Kerrich (1937)      473
Least squares, Bibl., Sheffer (1935)      491
Least squares, Bibl., Sheppard (1914, 1929)      491
Least squares, Bibl., Sterne (1934)      493
Least squares, Bibl., Wisniewski (1937a)      501
Least squares, Bibl., Wong (1935)      501
Least squares, in estimation      59
Least squares, in regression analysis      145
Least squares, in time-series      371
Lexis theory, Bibl., Geiringer (1942)      465
Lexis theory, Bibl., Rider (1934)      488
Lexis theory, Bibl., Tschuprow (1918, 1919a)      495
Lexis theory, Bibl., von Bortkiewicz (1931)      497
Lexis, W., N.R.      216
Lexis, W., ratio      119
Life, expectation of, etc., Bibl., Brownlee and Morison (1911)      449
Life, expectation of, etc., Bibl., Dublin and others (1935)      458
Life, expectation of, etc., Bibl., Greenwood (1922)      466
Life, expectation of, etc., Bibl., Gumbel (1924, 1925, 1932)      466
Life, expectation of, etc., Bibl., Seal (1940)      490
Life, expectation of, etc., Bibl., Wilson (1938)      500
Likelihood, Bibl., Fisher (1932, 1934a, b)      462
Likelihood, Bibl., Wilks (1935a)      499
Likelihood, in estimation      see "Maximum Likelihood"
Likelihood, in testing hypotheses      277—280 295—302 323—326
Likelihood-ratio tests, Bibl.      see "L-tests"
Likelihood-ratio tests, Bibl., Daly (1940)      454
Likelihood-ratio tests, Bibl., Neyman and Pearson (1933c)      480
Likelihood-ratio tests, Bibl., Wilks (1938a)      499
Likelihood-ratio tests, Bibl., Wilks and Thompson (1937a)      499
Limiting form of significance tests      322
Limiting form of significance tests, Bibl., Peiser (1943)      486
Linear equations subject to error, Bibl., Lonseth (1942)      476
Linear hypotheses      292—295 300—302
Linear hypotheses, Bibl., Johnson and Neyman (1936)      472
Linear hypotheses, Bibl., Kolodzieczyk (1935)      474
Linearity of regression      see "Regression"
Link-relatives      see "Index Numbers"
Link-relatives, Bibl., Robb (1930)      489
Linkage, Bibl., Finney (1940, 1941, 1942)      460
Linkage, Bibl., N.L. Johnson (1940b)      472
Live births, proportion of males among, (Example 21.8)      120
Location, Bibl., Pitman (1939a, b)      486
Location, centre of      41
Location, estimation of parameters of      40—42
Location, Pitman s tests of      323—326
Logarithmic variate, Bibl., Finney (1941b)      460
Logarithmic variate, Bibl., Jenkins (1932)      471
Logarithmic variate, Bibl., Nydell (1919)      481
Logarithmic variate, Bibl., Pae-Tsi Yuan (1933)      481
Logarithmic variate, Bibl., Quensel (1936)      487
Logarithmic variate, Bibl., Wicksell (1917a)      499
Logarithmic variate, Bibl., Williams (1937)      500
Loss of information, in estimation      30—32
Loss of weight in soil, (Example 22.3)      149—152
Loss of weight in soil, (Example 22.6)      158
m rankings, Bibl., Friedman (1937, 1940)      463
m rankings, Bibl., Kendall and Babington Smith (1939b)      472
m rankings, problem of, (Example 23.9)      214—215
Macaulay, F.R., (Exercise 29.4)      395
Macaulay, F.R., N.R.      394
Macaulay, F.R., Stevens (1939a)      493
MacStewart, W., N.R.      304
Madow, W.G., N.R.      359
Magnetic declination, Bibl., Schuster (1899)      490
Magnitude, random division of, Bibl., Fisher (1940a)      462
Mahalanobis, P.C., N.R.      303 304 359
Males, marriages of, (Example 21.9)      121—122
Males, proportion in births, (Example 21.8)      120
Markoff process (Markoff chains), Bibl., Doeblin (1936, 1937)      457
Markoff process (Markoff chains), Bibl., Elfving (1937, 1938)      459
Markoff process (Markoff chains), Bibl., Feldheim (1936b)      460
Markoff process (Markoff chains), Bibl., Fortet (1935-8)      463
Markoff process (Markoff chains), Bibl., Frechet (1935, 1936b, 1937a)      463
Markoff process (Markoff chains), Bibl., Geiringer (1938)      464
Markoff process (Markoff chains), Bibl., Hadamard and Frechet (1933)      467
Markoff process (Markoff chains), Bibl., Hostinsky (1937)      469
Markoff process (Markoff chains), Bibl., Kolmogoroff (1937b)      473
Markoff process (Markoff chains), Bibl., Levy (1935b, 1936c)      475
Markoff process (Markoff chains), Bibl., Markoff (1912)      477
Markoff process (Markoff chains), Bibl., Mihoc (1934)      478
Markoff process (Markoff chains), Bibl., Onicescu and Mihoc (1935—9)      481
Markoff process (Markoff chains), Bibl., Romanovsky (1936a)      489
Markoff process (Markoff chains), Bibl., Scukarev (1932)      490
Markoff, A.A., theorem on least squares, (Exercise 25.5)      267
Marriage rate in England and Wales, (Example 30.3, Table 30.5, Figure 30.4)      408—409
Marriage rate in England and Wales, (Table 30.2)      397
Marriage, males according to age at, (Example. 21.9)      121—122
Martin, E.S., N.R.      359
Mass production      see "Quality Control"
Matching problems, Bibl., Battin (1942)      446
Matching problems, Bibl., D.W. Chapman (1935)      451
Matching problems, Bibl., Greville (1938, 1941)      466
Matching problems, Bibl., J.A. Greenwood (1938)      465
Matching problems, Bibl., J.A. Greenwood (1940)      466
Matching problems, Bibl., Olds (1938a)      481
Matching problems, Bibl., Vernon (1936)      496
Matching problems, Bibl., Wilks (1932c)      499
Mathematical Tripos, distribution of women obtaining firsts in, (Example 18.5)      56—57
Matrix, arithmetic of, Bybl., Aitken (1937a, b, 1938)      443
Matrix, arithmetic of, Bybl., Bingham (1941)      447
Matrix, arithmetic of, Bybl., Dwyer (1941a, b)      458
Matrix, arithmetic of, Bybl., Hotelling (1943)      469
Maximum likelihood estimators      12—49
Maximum likelihood estimators for several parameters      34—49
Maximum likelihood estimators, Bibl., Carlson (1932)      451
Maximum likelihood estimators, Bibl., E.S. Pearson (1937a)      483
Maximum likelihood estimators, Bibl., Fisher (1912, 1921a, 1925b, 1928c)      461
Maximum likelihood estimators, Bibl., Fisher (1932, 1934a)      462
Maximum likelihood estimators, Bibl., Hotelling (1930)      469
Maximum likelihood estimators, Bibl., Jeffreys (1938b, 1938c)      471
Maximum likelihood estimators, Bibl., K. Pearson (1936)      486
Maximum likelihood estimators, Bibl., Koshal (1933, 1935, 1939)      474
Maximum likelihood estimators, Bibl., Myers (1934)      479
Maximum likelihood estimators, Bibl., Welch (1939c)      499
Maximum likelihood estimators, consistence      13—15
Maximum likelihood estimators, efficiency of      18—19
Maximum likelihood estimators, normality      15—17
Maximum likelihood estimators, relation with minimum variance      53
Maximum likelihood estimators, relation with minimum variance and with confidence intervals      73—74
Maximum likelihood estimators, sufficiency      19—20
Maximum likelihood estimators, variance and covariance of      36—37
Maximum likelihood estimators, variance of      17—18
McKendrick, A.G., N.R.      136
Mean deviation, distribution of m.d., Bibl., Fisher (1920)      461
Mean deviation, distribution of m.d., Bibl., Frechet (1936a)      463
Mean deviation, distribution of m.d., Bibl., Tricomi (1936b, 1937)      495
Mean deviation, in testing normality (Geary's ratio)      106
Mean difference      108
Mean difference, Bibl., Cantelli (1913)      450
Mean difference, Bibl., de Finetti (1931)      455
Mean difference, Bibl., de Finetti and Paciello (1930b)      455
Mean difference, Bibl., U.S. Nair (1936)      479
Mean difference, Bibl., Wold (1935)      501
Mean values, Bibl., A.T. Craig (1936b)      453
Mean values, Bibl., Aumann (1934—5)      444
Mean values, Bibl., Bunak (1936)      449
Mean values, Bibl., Dodd (1934, 1937a, b, c, 1938)      457
Mean values, Bibl., Doodson (1917)      458
Mean values, Bibl., Dressel (1941)      458
Mean values, Bibl., Norris (1935, 1937)      481
Mean values, Bibl., Wertheimer (1937)      499
Mean values, Bibl., Yasukawa (1925)      501
Mean values, Bibl., Zoch (1935, 1937)      503
Mean, arithmetic, (Example 17.6) sufficient estimator for      11
Mean, arithmetic, (Example 17.7)      19—20
Mean, arithmetic, (Examples 27.1, 27.2)      311—312
Mean, arithmetic, estimation of      2
Mean, arithmetic, most general distribution for which it is estimator (Example 17.10)      22
Mean, arithmetic, significance of      98—100
Mean-square contingency      see "Contingency"
Mean-square successive difference, Bibl., Hart (1942)      467
Mean-square successive difference, Bibl., J.D. Williams (1941)      500
Mean-square successive difference, Bibl., von Neumann and others (1941a, b)      497
Means, distribution of      see also "Central Limit Theorem" "Mean
Means, distribution of, Bibl., A.T. Craig (1932)      453
Means, distribution of, Bibl., Baker (1930d, 1931, 1932, 1936, 1940)      444
Means, distribution of, Bibl., Behrens (1929)      446
Means, distribution of, Bibl., Carlson (1932)      451
Means, distribution of, Bibl., Cochran (1937a)      452
Means, distribution of, Bibl., Dodd (1926—7)      456
Means, distribution of, Bibl., Dunlap (1931)      458
Means, distribution of, Bibl., Hail (1927b)      467
Means, distribution of, Bibl., Holzinger and Church (1929)      469
Means, distribution of, Bibl., Immer (1937)      470
Means, distribution of, Bibl., Irwin (1927, 1929, a, 1930)      470
Means, distribution of, Bibl., Isserlis (1918a)      470
Means, distribution of, Bibl., Jeffreys (1940)      471
Means, distribution of, Bibl., Kolmogoroff (1929)      473
Means, distribution of, Bibl., Pizzetti (1939)      487
Means, distribution of, Bibl., Pollard (1934)      487
Means, distribution of, Bibl., R.C. Bose (1938a)      448
Means, distribution of, Bibl., Rhodes (1927)      488
Means, distribution of, Bibl., Romanovsky (1929)      489
Means, distribution of, Bibl., Simon (1943)      491
Means, distribution of, Bibl., Truksa (1940)      495
Means, test of difference      see "Difference"
Means, test of difference, in multivariate analysis      338—341
Median, as estimator      5
Median, Bibl., Cisbani (1938)      452
Median, Bibl., Doodson (1917)      458
Median, Bibl., Gini (1938)      465
Median, Bibl., Gini and Galvani (1929)      465
Median, Bibl., Gini and Zappa (1938)      465
Median, Bibl., Gulotta (1938)      466
Median, Bibl., Haldane (1942b)      467
Median, Bibl., Hojo (1931, 1933)      469
Median, Bibl., Jackson (1921)      471
Median, Bibl., K. Pearson (1931b)      486
Median, Bibl., K.R. Nair (1940b)      479
Median, Bibl., Pollard (1934)      487
Median, Bibl., Savur (1937a)      490
Median, Bibl., Ville (1936c)      496
Median, Bibl., W.R. Thompson (1936)      494
Median, confidence intervals for, (Exercise 19.5)      84
Migration      see "Random Migration"
Minimum $\chi^{2}$, in estimation      55—58
Minimum variance, in estimation      50—55
Minimum variance, of maximum likelihood estimators      18—19
Missing plot technique      229—233
Missing plot technique, Bibl., Allan and Wishart (1930)      443
Missing plot technique, Bibl., Cornish (1940a, b)      453
Missing plot technique, Bibl., K.R. Nair (1940a)      479
Missing plot technique, Bibl., Yates (1933b)      501
Missing plot technique, Bibl., Yates and Hale (1939b)      502
Mode, Bibl., Doodson (1917)      458
Mode, Bibl., Haldane (1942b)      467
Mode, Bibl., K. Pearson (1902b)      484
Mode, Bibl., Yasukawa (1926)      501
Moment-function      see "Characteristic Functions" "Generating
Moment-function, Bibl., U.S. Nair (1939)      479
Moments of distributions (specification)      see "Curve Fitting"
Moments of distributions (specification), Bibl., Cornish and Fisher (1937)      453
Moments of distributions (specification), Bibl., Fisher (1937a)      462
Moments of distributions (specification), Bibl., K. Pearson (1936)      486
Moments of distributions (specification), Bibl., O'Toole (1933)      481
Moments of distributions (specification), Bibl., Pearl (1937)      482
Moments of distributions (specification), Bibl., R. Henderson (1907)      468
Moments of distributions (specification), Bibl., Romanovsky (1936b)      489
Moments of distributions (specification), Bibl., von Mises (1937)      497
Moments, efficiency of      43—44
Moments, problem of, Bibl., Boedewadt (1936)      447
Moments, problem of, Bibl., Broggi (1934)      449
Moments, problem of, Bibl., Chlodovsky (1938)      451
Moments, problem of, Bibl., Hamburger (1920, 1921)      467
Moments, problem of, Bibl., Haussdorf (1923)      468
Moments, problem of, Bibl., Haviland (1935, 1936)      468
Moments, problem of, Bibl., Marcinkiewicz (1939)      477
Moments, problem of, Bibl., Polya (1920, 1938a)      487
Moments, problem of, Bibl., Stekloff (1914)      492
Moments, problem of, Bibl., Stieltjes (1918)      493
Moments, problem of, Bibl., Widder (1934)      499
Moments, sampling      see also "k-statistics"
Moments, sampling, Bibl., Bernstein (1932)      446
Moments, sampling, Bibl., C.C. Craig (1928)      453
Moments, sampling, Bibl., C.C. Craig (1940)      454
Moments, sampling, Bibl., Dwyer (1937a, 1938, 1940)      458
Moments, sampling, Bibl., Fisher (1929b)      461
Moments, sampling, Bibl., Fisher and Wishart (1931)      462
Moments, sampling, Bibl., Geary (1933)      464
Moments, sampling, Bibl., Irwin and Kendall (1944)      470
Moments, sampling, Bibl., Isserlis (1918b, c, 1931)      470
Moments, sampling, Bibl., St. Georgescu (1932)      493
Moments, sampling, Bibl., Sukhatme (1938c, 1944)      494
Moments, sampling, Bibl., Tschuprow (1918b, 1921, 1923)      495
Moments, sampling, Bibl., Wilks (1934, 1936)      499
Moments, sampling, Bibl., Wishart (1929a, b, 1930, 1931a, b, 1933b)      500
Moments, sampling, Bibl., Wishart and Bartlett (1932b)      500
Moments, sampling, Bibl., Ziaud-din (1938)      503
Monotonic functions, in distribution theory, Bibl., Bochner (1937)      447
Mood, A.M., N.R.      304
Moore, G., N.R.      136
Moore, G., phases in time-series      126
Morant, G., N.R.      394
Morgan, W.A., N.E.      137
Mortality      see "Life"
Most-efficient estimator      6 10 18—19
Most-selective confidence intervals      75 82
Moths, effect of weather on, (Example 22.10)      171—172
moving averages      372—387 399
Moving averages, Bibl., Dodd (1939a, 1941a, b)      457
Moving averages, Bibl., Frisch (1938)      464
Moving averages, Bibl., Wold (1938b)      501
mth values, Bibl., Gumbel (1934, 1935a, 1939)      466
Multinomial distribution, Bibl., Kullback (1937)      474
Multinomial distribution, Bibl., Lurquin (1937)      476
Multiple correlation, Bibl., Bacon (1938)      444
Multiple correlation, Bibl., Fisher (1928b)      461
Multiple correlation, Bibl., Hall (1927a)      467
Multiple correlation, Bibl., K. Pearson (1916d)      485
Multiple correlation, Bibl., K. Pearson and Lee (1908)      484
Multiple correlation, Bibl., K. Pearson and Young (1918)      485
Multiple correlation, Bibl., Kelley and McNemar (1929)      472
Multiple correlation, Bibl., Kullback (1936c)      474
Multiple correlation, Bibl., R.C. Bose (1934)      447
Multiple correlation, Bibl., Soper (1929a)      492
Multiple correlation, Bibl., Starkey (1939)      492
Multiple correlation, Bibl., Tappan (1927)      494
Multiple correlation, Bibl., Wilks (1932b)      499
Multiple correlation, Bibl., Wishart (1931b)      500
Multiple correlation, Bibl., Wong (1937)      501
Multiple curvilinear regression      167 236 see
Multiple happenings      see "Poisson Distribution" "Polya
Multiple happenings, Bibl., Greenwood and Yule (1920)      466
Multiple happenings, Bibl., K. Pearson (1926b, 1913)      484
Multivariate analysis      328—362
Multivariate analysis, Bibl., Bartlett (1939b, 1941)      445
Multivariate analysis, Bibl., Bishop (1939)      447
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