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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
"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 $\rho$      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
$D^{2}$-statistic      see also "Discriminatory Analysis" "Multivariate
$D^{2}$-statistic, Bibl., Bhattacharya and Narayan (1942)      446
$D^{2}$-statistic, Bibl., R.C. Bose (1936a, b)      447
$D^{2}$-statistic, Bibl., R.C. Bose and Roy (1938c, 1940)      448
$D^{2}$-statistic, Bibl., Roy (1939a)      489
$D^{2}$-statistic, Bibl., S.N. Bose (1935, 1937)      448
$D^{2}$-statistic, N.R.      359
$P_{\lambda_{n}}$ 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 $(\chi^{2})$, generalisation in multivariate analysis      see "Wishart's Distribution"
Chi-squared $(\chi^{2})$, in testing goodness of lit      106—107
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