|
|
 |
| Авторизация |
|
|
|
| Поиск по указателям |
|
|
|
|
|
|
|
 |
|
|
|
| Rao R.C. — Linear Statistical Inference and Its Applications |
|
|
|
| Предметный указатель |
Aitken, A. 44 78 220 221 312
Aitkinson, F.A. 71 78
Analysis of covariance, concomitant variables 288
Analysis of covariance, illustrative example 291
Analysis of covariance, multivariate 551 561
Analysis of covariance, univariate 289
Analysis of dispersion, definition 548
Analysis of dispersion, distribution of Wilks'  555 556
Analysis of dispersion, Gauss — Markoff (multivariate) 543
Analysis of dispersion, growth model (multivariate) 561
Analysis of dispersion, test for additional information 551
Analysis of dispersion, test for dimensionality 556
Analysis of dispersion, test for structural relationship 564
Analysis of dispersion, test of linear hypotheses 547—551
Analysis of variance, confidence interval for ratio 241
Analysis of variance, covariance adjustment 289
Analysis of variance, F-test (Fisher) 238 239
Analysis of variance, Gauss — Markoff model 221
Analysis of variance, general Gauss — Markoff model 297
Analysis of variance, interval estimation 237 470
Analysis of variance, minque (variance components) 65—66 258 303
Analysis of variance, one-way classification 244
Analysis of variance, regression See Regression and association
Analysis of variance, simultaneous confidence intervals 240
Analysis of variance, t-test (Student, Gosset) 237 243
Analysis of variance, test for nonadditivity, general 251
Analysis of variance, test for nonadditivity, Tukey's 249—251
Analysis of variance, two-way classification, variance components 258
Analysis of variance, two-way classification, with equal numbers 247 253
Analysis of variance, two-way classification, with unequal numbers 254
Ancillary information 505
Anderson, S.L. 498 512
Anderson, T. W. 68 78 498 512 542 601
Anscombe, F. J. 426 428 442 485 512
Arnold, J.C. 322 380
Ashton, E.H. 579 601
Bagai 543
Bahadur, R.R. 140 141 153 366 380 425 442 470 512
Banerji, S. 463 512
Barnard, G. 343 444 488 490 505 512
Barnard, M.M. 572 602
Bartlett, M.S. 551 556 559 573 602
Basis of vector space, definition 4
Basis of vector space, Gram — Schmidt orthogonalization 9
Basis of vector space, orthogonal basis 9
Basis of vector space, orthonormal basis 9
Basis of vector space, Steinitz replacement result 14
Basu, D. 505 512
Bayes decision rule 493
Berge, C. 53 78
Bhattacharya, A. 324 376 380
Bickle, P.J. 153
Birch, M.W. 363 380
Birnbaum, A. 444 505 512
Bivariate normal, characteristic function 203
Bivariate normal, density 202
Bivariate normal, distribution of correlation coefficient 206 208
Bivariate normal, distribution of means 205
Bivariate normal, distribution of regression coefficient 208
Bivariate normal, distribution of variances and covariances 205
Bivariate normal, properties 202
Blackwell, D. 321 380 497 512
Bock, R.D. 196 218
Borel field, ( -field) 83
Bose, R.C. 220 224 312 542 597 599 602 603
Bowker, A.K. 542 602
Box G.E.P. 286 312 498 512
Burnaby, T.P. 580 602
Central limit theorems, invariance principle 148
Central limit theorems, Liapunov 127
Central limit theorems, Lindberg — Feller 128
Central limit theorems, Lindberg — Levy 127
Central limit theorems, multivariate case 128 147
Chakravarthy, I.M. 509
Chapman, D.G. 324 380
Characteristic function of, beta 151
Characteristic function of, binomial 102
Characteristic function of, Cauchy 151
Characteristic function of, degenerate 151
Characteristic function of, gamma 151
Characteristic function of, hyperbolic 151
Characteristic function of, Laplace 151
Characteristic function of, multivariate normal 184 519 520
Characteristic function of, normal 103 159
Characteristic function of, Poisson 102
Characteristic function of, rectangular 151
Characteristic function of, triangular 151
Characteristic function, Bochner's theorem 141
Characteristic function, Continuity Theorem 119
Characteristic function, convergence of 119
Characteristic function, cumulants 101
Characteristic function, definition 99
Characteristic function, examples on 142—143
Characteristic function, expansion of 100
Characteristic function, inversion theorem 104
Characteristic function, moments 93 101
Characteristic function, non-negative definiteness of 141
Characteristic function, properties of 100
Chernoff, H. 441 442 453 464 470 482 497 504 513
Chipman, J.S. 307 312
Cluniess-Ross 573 603
Cochran, W. G. 189 218 266 286 312 393 442 464 504 513
Conditional density 92 99
Conditional expectation 96 98
Conditional probability 90
Conditional variance 97
Confidence sets and intervals 470
Constantine, A.G. 543
Contingency tables, control charts (O.C. of) 510
Contingency tables, Dandekar's continuity correction 414 415
Contingency tables, test for independence of attributes 404—415
Contingency tables, Yates' continuity correction 413 415
Control charts (O.C. of) 510 511
Convergence of densities (Scheffe) 124—126
Convergence of distribution functions in law 116
Convergence of distribution functions, definition 116
Convergence of distribution functions, extended Helly — Bray theorem 118
Convergence of distribution functions, Helly lemma 117
Convergence of distribution functions, Helly — Bray theorem 117
Convergence of distribution functions, Polya's theorem 120
Convergence of distribution functions, theorems involving moments 121
Convergence of distribution functions, weak compactness 117
Convergence of functions 134
Convergence of integrals, dominated convergence theorem 136
Convergence of integrals, dominated convergence theorem (Pratt's extension) 136
Convergence of integrals, Fatou's lemma 135
Convergence of integrals, monotone convergence theorem 135
Convergence of random variables in law 116
Convergence of random variables in probability 110
Convergence of random variables with probability one 110
Convergence of random variables, almost sure (strong) 110
Convergence of random variables, quadratic mean 110
Convergence of random variables, rth mean 148
Convergence of random variables, theorems on 122—124 148
Convex sets, definition 51
Convex sets, separation theorems 51 52
Convolution of distribution functions 103
Correlation See Regression
Covariance adjustment See Analysis of covariance
Cox, D.R. 505 513
Cox, G.M. 286 312 464 504 513
Craig, А.Т. 189 210 218
Cramer, H. 106 137 153 162 218 324 380 517 602
Critical difference 246
Critical region 445
Cumulants 101
Dandekar's continuity correction 414 415
Daniels, H.E. 366 380
Dantzig, G.В. 455 486 513
Darmois, G. 218
| DasGupta, S. 68 78
David, F.N. 220 313
Decision theory (identification), admissible rules 492
Decision theory (identification), Bayes' solution 492 493
Decision theory (identification), complete class (minimal) 495
Decision theory (identification), minimax rule 496
Decision theory (identification), non-randomized rule 491
Decision theory (identification), randomized rule 491
Dempster, A.P. 196 218 340 380
Density, Arc sine 165
Density, Bessel function 217
Density, beta (central) 151 165 167 168
Density, beta (noncentral) 172 217
Density, binomial 88 102 155
Density, bivariate Cauchy 170
Density, bivariate normal 201
Density, Cauchy 151 170
Density, chi-square (central) 166 181
Density, chi-square (noncentral) 182
Density, circular normal 174 177
Density, correlation coefficient (non-null) 208
Density, correlation coefficient (null) 207
Density, degenerate 151
Density, directional data 175
Density, Dirichlet 215
Density, equilibrium state of particles 172
Density, exponential family 195
Density, F (noncentral), Fisher 216
Density, f(central) 165
Density, f(noncentral) 172 216
Density, gamma 151 164
Density, geometric 88
Density, Hotelling's  (null) 542
Density, Hyperbolic cosine 151
Density, hypergeometric 88
Density, Laplace 151 212
Density, life testing model 213
Density, logarithmic 88
Density, logistic 213
Density, lognormal 212
Density, Makeham's law 214
Density, Maxwell 173
Density, multinomial 355
Density, multiple correlation (central) 273
Density, multiple correlation (noncentral) 599 600
Density, multivariate normal 184 194 527
Density, negative binomial 88
Density, normal 88
Density, order statistics 214
Density, Pareto 212
Density, Pearson  168
Density, Pearsonian curves 213
Density, Poisson 88 102
Density, Rayleigh 164
Density, rectangular 151
Density, regression coefficient 208
Density, Student's t (central) 170 183 197
Density, Student's t (noncentral) 171
Density, symmetric normal 196
Density, triangular 151
Density, Von Mises 177
Density, waiting time 166
Density, Weibull 214
Density, Wishart 597 598
Density, wrapped-up distributions 178
Density, z (Fisher) 167
Determinantal equation 38
Determinants 22 31
Dewess, G. 304 312
Dharmadhikari, S.W. 106 153
Discriminatory analysis, discriminant scores 574
Discriminatory analysis, discrimination of composite hypotheses 580
Discriminatory analysis, Fisher's discriminant function 567
Discriminatory analysis, sufficiency of discriminant function 578
Discriminatory analysis, tests on discriminant functions 568 569 601
Dispersion matrix 107 517
Distribution free methods 499
Distribution function, conditional 91
Distribution function, convergence See Convergence of distribution functions
Distribution function, convolution of 103
Distribution function, decomposition of 85
Distribution function, definition 84
Distribution function, properties of 85—87
Distributions (sampling, asymptotic),  for contingency tables 403 404—412
Distributions (sampling, asymptotic), for goodness of fit (Pearson) 391
Distributions (sampling, asymptotic), deviation in a single cell 393
Distributions (sampling, asymptotic), deviation in specified cells 397
Distributions (sampling, asymptotic), fractiles 423—425
Distributions (sampling, asymptotic), functions of statistics 385—388
Distributions (sampling, asymptotic), H-test for homogeneity 389
Distributions (sampling, asymptotic), Kolmogorov — Smirnov test 421
Distributions (sampling, asymptotic), likelihood ratio tests (Neyman — Pearson) 417
Distributions (sampling, asymptotic), linear functions of frequencies 383 384
Distributions (sampling, asymptotic), quadratic function of frequencies 384
Distributions (sampling, asymptotic), scoring test (Rao) 417
Distributions (sampling, asymptotic), standard errors 386—388
Distributions (sampling, asymptotic), Wald's large sample tests 417 419
Distributions (sampling, asymptotic), Wilk's 556
Distributions (sampling, exact), (Pearson) 168
Distributions (sampling, exact), (U-statistic (additional information, Rao) 554
Distributions (sampling, exact), chi-square (central) 181
Distributions (sampling, exact), chi-square (noncentral) 182
Distributions (sampling, exact), correlation, intraclass (non-null) 200
Distributions (sampling, exact), correlation, intraclass (null) 199
Distributions (sampling, exact), correlation, multiple (non-null) 599 600
Distributions (sampling, exact), correlation, multiple (null) 273
Distributions (sampling, exact), correlation, product moment (non-null) 208
Distributions (sampling, exact), correlation, product moment (null) 207
Distributions (sampling, exact), Fisher's F (non-null) 216
Distributions (sampling, exact), Fisher's F (null) 167
Distributions (sampling, exact), Fisher's z 167
Distributions (sampling, exact), Hotelling's (non-null) 542
Distributions (sampling, exact), Hotelling's (null) 542
Distributions (sampling, exact), Mahalanobis' 542
Distributions (sampling, exact), quadratic forms 185—193
Distributions (sampling, exact), regression (bivariate) 208
Distributions (sampling, exact), sample mean and dispersion 537
Distributions (sampling, exact), sample mean and variance 182
Distributions (sampling, exact), square of normal variable 163
Distributions (sampling, exact), Student's t (non-null) 171
Distributions (sampling, exact), Student's t (null) 170
Distributions (sampling, exact), Wishart distribution 597 598
Dodge, H.F. 473 513
Doob, J.L. 79 98 115 153 350 380 421 442
Dugue, D. 366 380
Dwyer, P.S. 75 78
Eigen values (restricted) 50
Eigenvalues 38
Empirical distribution function, convergence (Glivenko) 421
Empirical distribution function, definition 420
Empirical distribution function, Kolmogorov theorem 421
Empirical distribution function, Kolmogorov — Smirnov statistic 421
Empirical distribution function, Smirnov theorem 422
entropy 173
Estimation, BAN estimator 348
Estimation, Bayes' estimator 335
Estimation, biased estimator 332
Estimation, CAN estimator 347
Estimation, confidence set 334 470
Estimation, consistency (Fisher) 345
Estimation, consistency (method) 345
Estimation, consistency (probability) 344
Estimation, efficiency (asymptotic variance) 346
Estimation, efficiency (first order, Rao) 348
Estimation, efficiency (Fisher) 348
Estimation, efficiency (second order, Rao) 352
Estimation, empirical Bayes estimator (Robbins) 336
Estimation, fiducial inference (Fisher) 339
Estimation, general estimation problem 334
Estimation, Haldane's discrepancy 352
|
|
|
| Реклама |
|
|
|
|
|
О проекте