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Hogg R.V., Craig A.T. — Introduction to Mathematical Statistics
Hogg R.V., Craig A.T. — Introduction to Mathematical Statistics

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Название: Introduction to Mathematical Statistics

Авторы: Hogg R.V., Craig A.T.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: Fifth Edition

Год издания: 2004

Количество страниц: 566

Добавлена в каталог: 17.03.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Absolute-error loss function      311 367
Adaptive methods      536 542
Algebra of sets      4
Analysis of variance      466
Ancillary statistic      347 353
Andrews, D.F.      393
Approximate distribution      248 251 381 392 525
Approximate distribution, chi-square      295 422
Approximate distribution, normal for binomial      249 499
Approximate distribution, normal for chi-square      244
Approximate distribution, normal for Poisson      246
Approximate distribution, Poisson for binomial      244
Arc sine transformation      252 273
Asymptotically efficient      379
Basu, D.      354
Bayes' formula      23 364
Bayesian methods      363 437
Bernoulli trials      116
Bernstein, S.      112
Best critical region      396 399 402
Beta distribution      180 504
Biased estimator      263
Binary statistic      514
Binomial distribution      118 244 249 254 498 506
Bivariate normal distribution      146 212 226 346 385 439 478
Boole's inequality      465
Borel measurable function      29 156
Box — Muller transformation      177
Burr distribution      372
Cauchy distribution      175 257 387
Censoring      49
Central limit theorem      246 511
Change of variable      163 168 186
Characteristic function      64
Characterization      202 214
Chebyshev's inequality      68 120 222 240
Chi-square distribution      134 144 210 294 447 482 489 491
Chi-square test      293 424
Classification      439 496
Cochran's theorem      490
Column effect      467 470
Complement of a set      7
Complete sufficient statistics      332 335 343 353 537
Completeness      329 343
Composite hypothesis      284 288 406 413
Compounding      372
Conditional distribution      82 148
Conditional expectation      84 110
Conditional mean      85 93 123 148 357 367
Conditional p.d.f.      83 109 148 364
Conditional probability      83
Conditional variance      85 95 148 357
Confidence coefficient      270
Confidence interval      268 289 462
Confidence interval for difference of means      276
Confidence interval for means      268 462
Confidence interval for p      272
Confidence interval for quantiles      497
Confidence interval for ratio of variances      280
Confidence interval for regression parameters      473
Confidence interval for variances      276
Contingency tables      299
Continuous-type random variables      37 108 168 193
Contrasts      464
control limits      431
Convergence      233 239 240
Convergence in distribution      233
Convergence in probability      239
Convergence with probability one      240
Convolution formula      178
Correlation coefficient      91 100 105 123 150 377 478 534
Covariance      92 386 535
Covariance matrix      227 385
Coverage      503
Cramer      243
Critical region      282 284
Critical region, best      396 399 402
Critical region, size      285
Critical region, uniformly most powerful      405
Curtiss, J.H.      243
CUSUMS      432
Decision function      308 433
Degenerate distribution      65 235
Degrees of freedom      134 298 422
Delta method      251
Dependence      101
Design matrix      493
Discrete-type random variable      28
Distribution function      34 37 44 78 108 501
Distribution of $nS^{2}/{\sigma}^{2}$      214
Distribution of coverages      503
Distribution of F      182 221 421 451 463
Distribution of F(X)      161
Distribution of functions of random variables      155
Distribution of linear functions      208
Distribution of noncentral chi-square      301 458
Distribution of noncentral F      458 468
Distribution of noncentral T      420 460
Distribution of Order statistics      193 258
Distribution of quadratic forms      447 481
Distribution of R      480
Distribution of runs      518
Distribution of sample      158
Distribution of sample mean      214 220 249
Distribution of sample variance      214
Distribution of T      181 217 218 238 277 356 415 419 476 480
Distribution, Bernoulli      116
Distribution, Beta      180 504
Distribution, binomial      118 244 249 254 498 506
Distribution, bivariate normal      146 212 226 346 385 439 478
Distribution, Burr      372
Distribution, Cauchy      175 257 387
Distribution, chi-square      134 144 210 294 447 482 489 491
Distribution, conditional      82 109 148 364
Distribution, continuous-type      37 108
Distribution, degenerate      65 235
Distribution, Dirichlet      188 371 504
Distribution, discrete-type      28
Distribution, double exponential      176
Distribution, empirical      158
Distribution, exponential      133 203
Distribution, exponential class      333 343
Distribution, function      34 37 44 78 108 501
Distribution, gamma      131 202
Distribution, geometric      121
Distribution, hypergeometric      34 56 517
Distribution, limiting      233 237 243 253 294 380
Distribution, logistic      178
Distribution, lognormal      154 222
Distribution, marginal      80 93 101 109
Distribution, multinomial      121 199 295 515 527
Distribution, multivariate normal      223 294 482
Distribution, negative binomial      121
Distribution, normal      138 143 147 208 214 247 381 446
Distribution, Pareto      267
Distribution, Poisson      126 166 244
Distribution, posterior      367 493
Distribution, prior      367 493
Distribution, trinomial      122 371
Distribution, truncated      146
Distribution, uniform      48 160
Distribution, Weibull      137 201 372
Distribution-free methods      498 506 537
Distribution-function technique      50 159
Double exponential distribution      176
Efficiency      377
Element      3
Empirical distribution      158
Equally likely events      15
Estimation      259 307 363
Estimation, Bayesian      363
Estimation, interval      268 370
Estimation, maximum likelihood      261 324 380 385 389
Estimation, method of moments      266
Estimation, minimax      309
Estimation, minimum chi-square      298
Estimation, point      259 307
Estimation, robust      387
Estimation, unbiased      263 307 340 381 542
Estimation, unbiased minimum variance      307 326 332 338
Estimator      259 307 363
Estimator, consistent      264 384
Estimator, efficient      377
Estimator, maximum likelihood      262 324 380 385 389
Estimator, minimum chi-square      298
Estimator, minimum mean-square-error      310
Estimator, unbiased      263 307 340 381 542
Estimator, unbiased minimum variance      307 326 332 338
Events      2
Events, equally likely      15
Events, exhaustive      15 22 297
Events, independent      24 27 103
Events, mutually exclusive      15 22 297
Expectation (expected value)      52 87 109 205 218
Expectation (expected value) of a product      104
Expectation (expected value), conditional      84
Exponential class      333 343
Exponential distribution      133 203
F-distribution      182 221 421 451 463
Factorial moment      65
Factorization theorem      318 334 341
Family of distributions      260 330
Fisher's information      372 385
Fisher's linear discriminate function      441
Fisher, R.A.      372 441
frequency      2
Frequency, relative      2 12 17
Function, characteristic      64
Function, characteristic of parameter      338
Function, characteristic of random variables      155
Function, characteristic, decision      308 433
Function, characteristic, distribution      34 37 44 78 108 501
Function, characteristic, gamma      131
Function, characteristic, likelihood      261 416
Function, characteristic, loss      308 367 434
Function, characteristic, moment-generating      59 97 105 111 203 209 243 486 510
Function, characteristic, point      7
Function, characteristic, power      282 285 443
Function, characteristic, probability density      33 39 45 50 76 108 397
Function, characteristic, probability distribution      34 37 44
Function, characteristic, probability set      12 29 47 75 108
Function, characteristic, risk      308 368 434
Function, characteristic, set      7
Gamma distribution      131 202
Gamma function      131
Geometric distribution      121
Geometric mean      336
Gini's mean difference      203
Goal post loss function      311
Gosset, W.S.      182
Huber, P.      390
Hypergeometric distribution      34 56 517
Hypothesis      280 284 395
Independence      19 24 111 150 157 353 480 537
Independence of $\bar{X}$ and $S^2$      217 231 354
Independence of linear forms      214 228
Independence of quadratic forms      447 481 486
Independence, mutual      25 111
Independence, pairwise      25 112
Independence, test of      478
Independent events      24 27
Independent random variables      100 157 167 176
Independent trials      26
Inequality, Boole      465
Inequality, Chebyshev      68 120 222 240
Inequality, Rao — Blackwell      90 326
Inequality, Rao — Cramer      372
Information, Fisher's      372 385
Interaction      469
Intersection of sets      5
Interval, confidence      270 289 462
Interval, prediction      149 275
Interval, random      269
Interval, tolerance      500 503
Invariance property of maximum likelihood estimation      265 474
Jacobian      179 186 224
Joint conditional distribution      110
Joint distribution function      79
Joint probability density function      79 111 397
kurtosis      66 539
Law of Large Numbers      120 222 240
Law of total probability      23
Least squares      473
Lehmann alternative      529
Lehmann — Scheffe      332
Levy, P.      243
Liapounov      511
Likelihood function      261 416
Likelihood principle      312 324
Likelihood ratio tests      409 413 422 452 467
Limiting distribution      233 237 243 253 294 380
Limiting moment-generating function      243
Linear discriminant function      441
Linear functions      208
Linear functions, covariance      223
Linear functions, mean      219
Linear functions, moment-generating function      209 228
Linear functions, variance      219
Linear model      472
Linear rank statistic      529
Location-invariant statistic      351 355 443 542
Logistic distribution      178
Lognormal distribution      154 222
Loss function      308 367 434
M-estimators      387
Mann — Whitney — Wilcoxon      521
Marginal probability density function      80 93 101 109
Mathematical expectation      52 88 109 205 218
Maximum likelihood      261
Maximum likelihood, estimator      261 324 380 385 389
Maximum likelihood, method of      261
Mean      58 158
Mean of $\bar{X}$      220
Mean of a sample      158
Mean of distribution      58
Mean of linear function      219 530
Mean of X      58
Mean, conditional      85 93 123 148 357 367
Median      44 57
Median test      516
Method of least squares      473
Method of maximum likelihood      261
Method of moments      266
Midrange      200
Minimal sufficient statistics      347
Minimax, criterion      309 433
Minimax, criterion, decision function      310 433
Minimum chi-square estimates      298
Minimum mean-square-error estimates      310
MODE      43
Model      15 40 78 325 472
Moment-generating function      59 97 105 111 203 209 243 486 510
Moment-generating function of $\bar{X}$      209
Moment-generating function of binomial distribution      118
Moment-generating function of bivariate normal distribution      149
Moment-generating function of chi-square distribution      134
Moment-generating function of gamma distribution      133
Moment-generating function of multinomial distribution      123
Moment-generating function of multivariate normal distribution      226
Moment-generating function of noncentral chi-square distribution      448
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