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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

Shortest confidence intervals      71—75 75—76
Significance tests      96—140 269—327 see
Significance tests, Bibl., Jeffreys (1938a)      471
Significance tests, Bibl., Peiser (1943)      486
Silverstone, H., (Exercises 18.1, 18.2)      61
Silverstone, H., minimum variance      61
Simaika, J., N.R.      304 359
Similar regions      283
Similar regions, Bibl., Feller (1938)      460
Simon, L.E., N.R.      61
Simple hypotheses      269 272—282 317—326
Simultaneous estimation, of several parameters      34—44
Simultaneous fiducial distributions, Bibl., Bartlett (1939a)      445
Sinusoidal limit, Bibl., Marsueguerra (1936)      477
Sinusoidal limit, Bibl., Romanovsky (1931c, 1932a, 1933a)      489
Sinusoidal limit, Bibl., Slutzky (1937b)      491
Sinusoidal limit, N.R.      394
Skewness, Bibl., Frisch (1934a)      464
Skewness, Bibl., Garner (1932)      464
Skulls (Egyptian), (Example 28.3)      345—348
Slutzky — Yule effect      378—387 399
Slutzky — Yule effect, Bibl., Slutzky (1937b)      491
Slutzky — Yule effect, Bibl., Yule (1921)      502
Slutzky, E., N.R.      394 399
Small numbers, law of      see "Poisson Distribution"
Smirnoff, N., contest      109
Smith, H. Fairfield, N.R.      359
Smith, K., minimum— $\chi^{2}$       55
Smith, K., N.R.      61
Smoothing      see "Moving Averages" "Trend"
Soil, loss of weight in, (Example 22.3)      149—152
Soil, loss of weight in, (Example 22.6)      158
Solomon, L., footnote      51
Spearman's $\rho$ , test of      132
Spearman's factor theory      see "Factor Analysis"
Spearman, C., (Exercise 25.3)      267
Speed tests in children, (Example 28.4)      351—352
Spelling ability in children (Example 25.1)      258—259
Spencer's formula in curve fitting, (Example 30.2)      405
Spencer's formula in curve fitting, (Examples 29.2, 29.3)      376—377 378—380
Spencer's formula in curve fitting, (Exercise 29.3)      394—395
Spurious correlation, Bibl., K. Pearson (1897b)      483
Spurious correlation, Bibl., Spearman (1907, 1910)      492
Spurious correlation, Bibl., Wicksell (1921)      499
Square of a variate, Bibl., Haldane (1941)      467
Squariance, footnote      178
Stabilising of variance      207
Stability of series      see "Lexis Theory"
Stable laws of probability, Bibl., Bochner (1937)      447
Stable laws of probability, Bibl., Feldheim (1937a)      460
Stable laws of probability, Bibl., Khintchine (1938)      473
Stable laws of probability, Bibl., Khintchine and Levy (1936)      473
Standard deviation      see "Variance"
Standard deviation, estimation of, (Example 17.5)      6—7
Standard deviation, estimation of, (Example 17.6)      11 52
Standard errors, Bibl., Derkson (1939)      456
Standard errors, Bibl., Edgeworth (1908, 1909)      459
Standard errors, Bibl., Eels (1929)      459
Standard errors, Bibl., Hendricks (1934)      468
Standard errors, Bibl., Isserlis (1915, 1916)      470
Standard errors, Bibl., K. Pearson (1903, 1913, 1920)      484
Standard errors, Bibl., K. Pearson (1924d)      485
Standard errors, Bibl., K. Pearson and Filon (1898)      483
Standard errors, Bibl., K. Pearson and Leo (1908)      484
Standard errors, Bibl., Miller (1934)      478
Standard errors, in testing significance      97—98
Standard errors, of regression coefficients      153—156
Standard Latin squares      259
Stationary time-series      396 see "Correlogram"
Stationary time-series, Bibl., Khintchine (1932, 1933, 1934)      473
Stationary time-series, Bibl., Slutzky (1934)      491
Stationary time-series, Bibl., Wold (1938a, 1939)      501
Statistical hypotheses, best critical regions      277—280
Statistical hypotheses, bias      307—326
Statistical hypotheses, Bibl., Chandra Sekhar and Francis (1941)      451
Statistical hypotheses, Bibl., Daly (1940)      454
Statistical hypotheses, Bibl., Dantzig (1940)      455
Statistical hypotheses, Bibl., E.S. Pearson (1941, 1942a)      483
Statistical hypotheses, Bibl., G.W. Brown (1940)      449
Statistical hypotheses, Bibl., Gumbel (1942)      466
Statistical hypotheses, Bibl., Kolodzieczyk (1933, 1935)      474
Statistical hypotheses, Bibl., Neyman (1935b, 1938b)      480
Statistical hypotheses, Bibl., Neyman (1942)      481
Statistical hypotheses, Bibl., Neyman and Pearson (1928, 1931a, 1933a, c, 1936a, 1938)      480
Statistical hypotheses, Bibl., Pitman (1939b)      486
Statistical hypotheses, Bibl., R.W. Jackson (1936)      471
Statistical hypotheses, Bibl., Rietz (1938)      488
Statistical hypotheses, Bibl., Scheffe (1942a, 1943)      490
Statistical hypotheses, Bibl., Wald (1939a)      497
Statistical hypotheses, Bibl., Wald (1941a)      498
Statistical hypotheses, Bibl., Wilks (1935c, 1938a)      499
Statistical hypotheses, Bibl., Wolfowitz (1942)      501
Statistical hypotheses, composite hypotheses      282—283
Statistical hypotheses, definition      269
Statistical hypotheses, errors of first and second kind      270—272
Statistical hypotheses, k samples      295—302
Statistical hypotheses, likelihood criteria      295
Statistical hypotheses, limiting properties      322
Statistical hypotheses, linear hypotheses      292—295
Statistical hypotheses, of several degrees of freedom      287
Statistical hypotheses, Pitman's tests      323—326
Statistical hypotheses, power function      272
Statistical hypotheses, regions of Type $A_{1}$       314—316
Statistical hypotheses, regions of Type A      309—314
Statistical hypotheses, regions of Type B      316—317
Statistical hypotheses, regions of Type C      317—322
Statistical hypotheses, relation with sufficient estimators      281—282
Statistical hypotheses, similar regions      283—287
Statistical hypotheses, simple hypotheses      272—275
Statistical Review of England and Wales, data from, (Example 21.8)      120
Statistical Review of England and Wales, data from, (Example 21.9)      121
Stevens, W.L., N.R.      216
Stevens, W.L., test of significance in periodogram      434
Stieltjes integrals, Bibl., Shohat (1930)      491
Stochastic convergence      440 see
Stochastic dependence      see "Independence"
Stochastic processes      see "Probability"
Stochastic processes, Bibl., Doob (1934a, 1937, 1938)      457
Stochastic processes, Bibl., Feller (1936a)      460
Stock forecasting, Bibl., Cowles (1933)      453
Stock forecasting, Bibl., Cowles and Jones (1937)      453
Stock, J.S., N.R.      266
Stratified sampling      249—252 see miscellaneous" "Representative
Stratified sampling, Bibl., Baker (1930c)      444
Stratified sampling, Bibl., Frankel and Stock (1939)      463
Stratified sampling, Bibl., G.M. Brown (1933)      449
Stratified sampling, Bibl., McKay (1934)      477
Stratified sampling, Bibl., Mood (1943)      478
Stratified sampling, Bibl., P.H. Anderson (1942)      443
Studenttisation      79—81 134
Studenttisation, Bibl., Hartley (1938, 1944)      467
Studenttisation, Bibl., Newman (1939)      480
Stumpff, K., N.R.      437
Sufficient estimators      7—12
Sufficient estimators, Bibl., Bartlett (1936b, 1937c, 1940)      445
Sufficient estimators, Bibl., Darmois (1935)      455
Sufficient estimators, Bibl., Koopman (1936)      474
Sufficient estimators, Bibl., Neyman (1935a)      480
Sufficient estimators, Bibl., Neyman and Pearson (1936a)      480
Sufficient estimators, Bibl., Pitman (1936)      486
Sufficient estimators, Bibl., Welch (1939a)      498
Sufficient estimators, distribution of      25
Sufficient estimators, for several parameters      39—40
Sufficient estimators, general form possessing      24—25
Sufficient estimators, given by maximum likelihood      19
Sufficient estimators, giving minimum-variance estimators      52
Sufficient estimators, relation with confidence intervals      74—75 79
Sufficient estimators, relation with U.M.P. tests      281—282
Sufficient estimators, relation with U.M.P.U. tests      310
Sufficient estimators, when range depends on parameter      27—28

Sukhatme, P.V., (Exercise 26.8)      305—306
Sukhatme, P.V., N.R.      94 266 304
Sukhatme, P.V., sampling moments      440
Sukhatme, P.V., tables for Behrens' test      92 111
Sum, distribution of      see "Means"
Summation convention      329
Sunspots, Bibl., Schuster (1906)      490
Sunspots, Bibl., Yule (1927a)      503
Symmetric functions      see "Moments" "k-statistics"
Symmetric functions, Bibl., O'Toole (1931, 1932)      481
t-distribution      see "Hotelling's T"
Tabular differences, Bibl., Ladermann and Lowan (1939)      474
Tanburn, E., N.R.      137
Tang, P.C., linear hypotheses      301
Tang, P.C., N.R.      303
Tchebycheff — Hermite polynomials, Bibl.      see "Gram — Charlier Series" "Orthogonal
Tchebycheff — Hermite polynomials, Bibl., Doetsch (1934)      457
Tchebycheff — Hermite polynomials, Bibl., Erdelyi (1938)      459
Tchebycheff — Hermite polynomials, Bibl., Feldheim (1937b)      460
Tchebycheff's inequality, Bibl., Bentstein (1937)      446
Tchebycheff's inequality, Bibl., Berge (1938)      446
Tchebycheff's inequality, Bibl., C.D. Smith (1930)      491
Tchebycheff's inequality, Bibl., C.G. Craig (1933)      454
Tchebycheff's inequality, Bibl., Camp (1922)      450
Tchebycheff's inequality, Bibl., K. Pearson (1919)      485
Tchebycheff, P.L., (Exercise 22.4)      173
Tchebycheff, P.L., N.R.      172
Tea-drinking, Bibl., Mahalanobis (1943)      476
Telephone service, Bibl., Newland and Neal (1939)      479
Telephone service, Bibl., Palm (1937)      482
Terminals of frequency-distribution, confidence intervals for      83
Test construction, Bibl., Cureton and Dunlap (1938)      454
tests of significance      see "Significance" "Statistical
Tetrachoric functions, Bibl., J. Henderson (1922)      468
Tetrachoric functions, Bibl., K. Pearson (1912a, 1913a, b)      484
Tetrachoric functions, Bibl., K. Pearson and Heron (1913c)      484
Tetrachoric functions, Bibl., Newbold (1925)      479
Tetrachoric functions, Bibl., Pearson and Pearson (1922b)      485
Tetrad difference      see "Factor Analysis"
Tetrad difference, (Exercise 28.10)      362
Tetrad difference, Bibl., Hotelling (1936b)      469
Tetrad difference, Bibl., Wilks (1932d)      499
Third moment, distribution of, Bibl., Pepper (1932)      486
Thompson, C., N.R.      303
Thompson, C., on $\lambda$ -tests      299
Thompson, W.R., (Exercise 19.5)      84
Thompson, W.R., N.R.      83
Thomson, G., (Example 25.1)      258—259
Ties in ranking      127 441
Time-series      363—439 see "Harmonic "Periodicity"
Time-series, autocorrelation function      421—423
Time-series, autoregressive schemes      414—421
Time-series, Bibl., Bartels (1935)      445
Time-series, Bibl., Darmois (1929)      455
Time-series, Bibl., Davis (1941)      455
Time-series, Bibl., Jones (1937b, c)      472
Time-series, Bibl., Kendall (1944a, b)      473
Time-series, Bibl., Koopmans (1937, 1940, 1941)      474
Time-series, Bibl., Macaulay (1931)      476
Time-series, Bibl., Roos (1934, 1936)      489
Time-series, Bibl., von Szeliski (1929)      497
Time-series, Bibl., Wallis and Moore (1941)      498
Time-series, Bibl., Wold (1938a)      501
Time-series, Bibl., Zaycoff (1936, 1937)      503
Time-series, correlogram      404—413
Time-series, effect of trend elimination      378—387
Time-series, examples of      363—369
Time-series, lag correlation      435—437
Time-series, oscillations      397—399
Time-series, periodogram analysis      423—433
Time-series, serial correlations      402—404
Time-series, significance of a periodogram      433—435
Time-series, tests for randomness      399
Time-series, trend      371—378
Time-series, types of oscillatory series      395—402
Time-series, variate difference method      387—394
Tintner, G., N.R.      394
Tintner, G., variate-difference method      393
Tokarska, B., N.R.      303
Tolerance limits      see "Quality Control"
Trade cycles      see "Periodicity"
Traffic signals, Bibl., Garwood (1940)      464
Trans variation, Bibl., Castellano (1934, 1937)      451
Trans variation, Bibl., Travers, R.M.W., N.R.      359
Trans variation, Bibl., Trend      369—370 371—387
Transformation of distributions, Bibl., Baker (1930a, 1934)      444
Transformation of distributions, Bibl., Beall (1942)      446
Transformation of distributions, Bibl., Bliss (1938)      447
Transformation of distributions, Bibl., Curtiss (1943)      454
Transformation of distributions, Bibl., Erankel and Hotelling (1938)      463
Transformation of distributions, Bibl., Landahl (1938)      474
Transformation of distributions, Bibl., Rietz (1931b)      488
Transformation of distributions, Bibl., Tricomi (1938)      495
Transformation of distributions, Bibl., Yasukawa (1925)      501
Transformation of distributions, Bibl., Zoch (1934)      503
Trend, Bibl., Lorenz (1931, 1935)      476
Trend, Bibl., Macaulay (1931)      476
Trend, Bibl., Rhodes (1921)      488
Trend, Bibl., Sasuly (1934)      490
Trend, Bibl., Schumann (1938)      490
Trend, Bibl., Sipos (1930)      491
Trend, Bibl., Working and Hotelling (1929)      501
Trough, in time-series      124
Truncated normal distribution, Bibl., Keyfitz (1938)      473
Truncated normal distribution, Bibl., Stevens (1937a)      493
Turner, H.H., N.R.      437
Turning-point, in time-series      124
Two samples, Bibl., Behrens (1929)      446
Two samples, Bibl., Dixon (1940)      456
Two samples, Bibl., E.S. Pearson (1929)      482
Two samples, Bibl., K. Pearson (1911a)      484
Two samples, Bibl., K. Pearson (1931a)      485
Two samples, Bibl., Lengyel (1939)      475
Two samples, Bibl., Mathisen (1943)      477
Two samples, Bibl., P.L. Hsu (1938a)      469
Two samples, Bibl., Pearson and Neyman (1930)      482
Two samples, Bibl., Peek (1937)      486
Two samples, Bibl., Rhodes (1924, 1925)      488
Two samples, Bibl., Romanovsky (1928)      489
Two samples, Bibl., Starkey (1938)      492
Two samples, Bibl., Sukhatme (1935, 1936b)      493
Two samples, Bibl., Swaroop (1938)      494
Two samples, Bibl., W.R. Thompson (1933)      494
Two samples, Bibl., Wald and Wolfowitz (1940c)      498
Two samples, Bibl., Welch (1938a)      498
Two samples, Bibl., Yates (1939f)      501
Type A, B, C, in statistical tests      309—327
Type I distribution, (Exercise 17.17)      49
Type II distribution, Bibl., Carlson (1932)      451
Type III distribution, (Example 17.13)      26
Type III distribution, (Example 17.19)      39
Type III distribution, (Example 18.3)      53—54
Type III distribution, Bibl., C.C. Craig (1929a)      453
Type III distribution, Bibl., Kullback (1936a)      474
Type III distribution, Bibl., Olshen (1938)      481
Type III distribution, Bibl., Salvosa (1930)      490
Type III distribution, Bibl., Wicksell (1933)      499
Type III distribution, centre of location of, (Example 17.23)      42
Type III distribution, confidence intervals for parameter (Example 19.5)      74—75
Type III distribution, estimation of parameters in, (Example 17.8)      20—21
Type III distribution, fiducial distribution of parameter      87
Type III distribution, sufficiency, (Example 17.21)      40
Type IV distribution, centre of location of, (Exercise 17.15)      48
Type IV distribution, intrinsic accuracy of, (Exercise 17.19)      49
U-shaped distribution, Bibl., Holzinger and Church (1929)      469
Unbiassed estimators      3—4
Unbiassed estimators, confidence intervals      76
Unbiassed estimators, tests      309—327
Unequal subclasses, Bibl., Brandt (1933)      449
Unequal subclasses, Bibl., Wald (1940b)      497

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