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Kotz S., Johnson N.L. — Breakthroughs in Statistics: Volume 1: Foundations and Basic Theory
Kotz S., Johnson N.L. — Breakthroughs in Statistics: Volume 1: Foundations and Basic Theory

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Название: Breakthroughs in Statistics: Volume 1: Foundations and Basic Theory

Авторы: Kotz S., Johnson N.L.

Аннотация:

This is a two volume collection of seminal papers in the statistical sciences written during the past 100 years. These papers have each had an outstanding influence on the development of statistical theory and practice over the last century. Each paper is preceded by an introduction written by an authority in the field providing background information and assessing its influence. Readers will enjoy a fresh outlook on now well-established features of statistical techniques and philosophy by becoming acquainted with the ways they have been developed. It is hoped that some readers will be stimulated to study some of the references provided in the Introductions (and also in the papers themselves) and so attain a deeper background knowledge of the basis of their work.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1992

Количество страниц: 632

Добавлена в каталог: 03.04.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\mathcal{C}_{p}$ criterion      599
Acceptance sampling      69
Accuracy, intrinsic      3 11 34
Admissibility      51 251 415 422 437 441 445 454 459
Admissible distributions      342
Admissible distributions, estimation      452
Admissible distributions, hypotheses      78 88
Admissible distributions, test      262
Akaike's information criterion (AIC)      600
Alternative hypothesis      68 87 293 409 410 539 564
Alternative hypothesis, priors      566
Analysis of variance      412 620
Ancillarity      579 582
Ancillary statistic      463 471 490 497 575
Arithmetic      549
Asymptotic multinormality      321 324
Asymptotic multinormality, normality      3 299 301 302 321 325 333 605 618
Autoregressive models      269 611 620
Axioms      131 370 479 527
Bayes' theorem      28 146 379 487 536 538 540 552 572
Bayesian approach      4 12 26 72 128 131 251 264 339 340 352 360 375 384 388 390 397 409 422 440 462 469 478 495 509 514 519 531 547 552 559 564 570 579 582 592 596 600 607
Bayesian approach, empirical      362 379 440
Bayesian approach, estimator      389
behavior      369 371
Behavior, inductive      534
Behavioral sciences      xxxiv
Bernoulli trials      573
Berry - Esseen bounds      305
Bets      139 146
Bienaym$\acute{e}$ - Tchebycheff inequality      159
Bimbaum's inequality      280
Binary experiments      467 499 500 506
Binomial distribution      4 122 258 276 283 380 382 393 523 558
Block designs      429
Block designs, balanced      43
Block designs, balanced incomplete      430
Block designs, randomized      402
Cauchy distribution      6 24
Censoring principle      471
Central limit theorem      321 326
Chain experiments      258
Characteristic function      118 161 253 287
Chi-squared      35 43 110 118 409 569 605
Chi-squared, decomposition of      619
Chi-squared, noncentral      439 446
Classification      245
Coherence      134 141 360
Communication theory      624
Complete class      415 421
Composite hypothesis      78 97 110 616
Computer      xxxii xxxvi 599
Computer algorithms      397
Concentration, coefficient of      329
Conditional distribution      580 592
Conditional distribution, inference      111 489 494
Conditional distribution, likelihood      117 584
Conditional distribution, probability      145 536
Conditional distribution, sufficiency      595
Conditionality principle      464 466 478 480 489 579
Confidence interval      402 524
Confidence interval, set      69 509
Confounding      xxv
Conjugate families      521 557
Consistency      11 18 23 134 235 592
Contingency table      110 124 360 524
Convergence, stochastic      167 188
Correlation coefficient      17 46 49 52 121
Correlation coefficient, difference sign      332
Correlation coefficient, multiple      62
Correlation coefficient, rank      309 313 331
Cost function      347 355 412
Covariance, structural      599
Coverage      381
Cram$\acute{e}$r - Rao inequality      227 230
Credibility      367
Critical region      79 82 102 108 261
Cross-validation      600 606
Cumulants      313
D-optimality      413
Data analysis      70
decision functions      335 339 342 345 365 375 534
Decision functions, randomized      348
Decision functions, rational      359 363
Decision functions, theory      258 342 399 443 521 526 532 534 548 554
Degrees of belief      128 363 367 370 377
Degrees of belief, freedom      36 56 404
Descriptive methods      xxii xxvii xxxiv
Design      4
Design of experiments      xxiv 395 470 515
Design of experiments, sequential      xxvi
Design, most stringent      4
Design, optimum      400
Design, randomized      403 417
Dilution series      8
Discrimination      602 611 612
dispersion      xxiii
Distance      227 243 245 347
Distance, Kullback - Leibler      602
Distance, Mahalanobis      48
distribution      16 584
Distribution-free estimator      584
Domain of attraction      186 189 212 214 217
Double sampling      251 258
E - Bayes rule      339
Efficiency      3 11 18 39 67 74 230 235 237 262 295 398
Efficiency, second order      231
Empirical Bayes      362 379 388 440
entropy      603 623
Epsilontics      544
Equivalence of evidential meaning      487
Error, mean squared      7 437 443
Error, probabilities      482
Errors      70 79 256 270 293 296 504
Estimation      1 25 75 230 417 437 482 486 560 611 613 615
Estimation, maximum likelihood      8 25 28 236 245 516 603 616
Estimation, nonparametric      417
Estimation, sequential      444
Estimator, admissible      452
Estimator, consistent      2
Estimator, distribution-free      311
Estimator, James - Stein      437
Estimator, Pitman      444
Estimator, unbiased      236 308 310
Estimator, unbiased minimum variance      230
Evidence, statistical      465 483 497 512
Evidence, weight of      372 479 483
Evidential interpretation      468 486 497 506 516
Exchangeability      125 129 160 167 172
Exchangeable events      153 169
Exchangeable events, sequences      191
Expected gain      372
Expected gain, number of observations      258 281
Experiment      504 556
Experiment, chain      258
Experiment, randomized      417
Exponential distribution      118
Exponential distribution, family      228 444 584
Extremal index      191
Extreme value distributions      185 196
Extreme value distributions, multivariate      191
Extreme value distributions, Types I - III      185 186
Extremes      191
F-distribution      47
F-test      408 426 569
Factor analysis      600 619
Fee, fair      373
Fever      541
Fiducial argument      469 479 482 512 579 582
Fiducial argument, distribution      114 514
Fiducial argument, probability      513 587 596
File drawer problem      524
Final prediction error (FPE)      608
Fisher's Inequality      231 241
Fisher's inequality, k-statistics      309 313
Fourier integrals      177
Fourier integrals theory      175
Fractional replication      xv
frequencies      128 130 148 152 380 382
Frequency, relative      535
Function space      165
Gain, expected      372
Game theory      336 344 345 521 532
Gamma distribution      391
Gaussian distribution (see normal distribution) Gaussian distribution process      459
General equivalence theorem      396
Generalized variance      413 426 621
Geometric distribution      380 392
Geometry      52
Gini' s mean difference      309 329
Goodness-of-fit      117 120
Group theory      413 420 429 441 490
GROUPING      7 19 37 40
Hamburger moment conditions      101
Harmonic analysis      175 179 181
Heteroscedasticity      412
Hilbert space      176 178
Hoeffding decomposition (U-statistics)      304
Homogeneity of variances      110 118
Hotelling's $T^{2}$      45 399
Hotelling's $T^{2}$, distribution      63
Hypothesis      67 72 98 256 264 367 375 408
Hypothesis, alternative      68 87 293 409 410 539 564
Hypothesis, composite      78 97 110 611 616
Hypothesis, null      523 531 556 561 568 570
Hypothesis, simple      67 82 418 427 521 547 556
Hypothesis, test      521 547 556
Hypothesis, test, Bayesian      557
Incomplete beta function      64
Index, extremal      191
Indexnumber      xxiii
Indifference curves      555
Inductive behavior      534
Industrial process      621
Inference      xxvii 252 461 467 478 501 525 531 559 561
Inference, conditional      111 489 494
Inference, informative      465 478 482 485 494 515
Inference, structural      583
Infinitely divisible distribution      188
information      2 242 438 462 601 614
Information matrix      236 604 613
Information theory      599
Information, Akaike's criterion      600
Information, ancillary      113
Information, Fisher      5 236 601 624
Information, Kullback - Leibler      611
Information, loss of      242
Insufficient reason, principle of      509 512
Interaction      124
Interval estimate      479 533
Intrinsic accuracy      3 11 24
Intrinsic accuracy, confidence sets      481 507
Intrinsic accuracy, significance level      481 500
Intrinsic accuracy, standard error      481
Invariance      5 180 396 412 441 591
Inventions      372
Inverse probability      13 29 41
Isostatistical region      11 33
James - Stein estimator      340 437
Jury      374
Jute      258
k-statistics, Fisher's      309
Large-sample theory      31 125 602
Latin square      429
Law of Large Numbers      158 187 197 302
Law of large numbers, Bemoulli - Cantelli      161
Law of Large Numbers, strong      127 159
Law of large numbers, weak      130
Law of the iterated logarithm      399
Least squares      235 439 443
Legal procedures      374
Likelihood      12 29 43 78 462 506 610
Likelihood, composite      78
Likelihood, conditional      117 584
Likelihood, contours      xxxii
Likelihood, function      4 8 467 473 478 488 504 584 596 616
Likelihood, marginal      584
Likelihood, predictive      473
Likelihood, principle of      76 86 106 117 461 467 481 495 498 505 514 525 531 572 573 596
Likelihood, ratio      68 110 464 468 522 557 561 565 603 606 611 615 619
Limit laws      195 202
Limit theorem, central      321 326
Limit theorem, U-statistics      320 325
Lindley's paradox      524
LISREL      600
Location      12 443
Location model      595
Location parameter      445 451
Location scale family      580
Location, group      588 629
Log likelihood      601 610
Log linear model      599
Logic      138 366
Loss function      443 450 615 616
Loss function, quadratic      437 443 452
Mahalanobis distance      48
Mahalanobis distance, studentized      48
Markov process      48
Martingale      249 253 305
Maximum likelihood      3 7 25 31 236 245 389 443 462 516 584 599 601 602 610 614 615
Mean difference, Gini's      309 329
Mean squared error      7 437 443
Median      24
Meta-analysis      472
minimax      339 352 375 377 399 444 456
Minimax invariance      414
Missing data      461
Mixture      471 498
Model, loglinear      599
Model, nonlinear      397
Model, selection      70 605 610
Moment generating function      274 277
Moment generating function, factorial      123
Moments, method of      23
Moments, sample      312
Most stringent design      407
Multinormal distribution      19 45 445 456 618
Multinormality, asymptotic      321 324
Multiple sampling      251 258
Negentropy, probabilistic      602
Net      181
Neyman - Pearson lemma      68
Neyman - Pearson lemma, test of type      409
Noise      398
Noncentral F distribution      52
Nonnormal regression      584
Nonparametric      306
Normal distribution      14 37 86 101 118 202 241 276 283 342 407 523 551 563 566
Normality      75 426 619 620
Normality, asymptotic      3 299 320 325 330 333 451 618
Normality, test of      120
Nuisance parameter      111 461 464
Null hypothesis      523 531 556 561
Odds      463 522 552 560
One-step prediction      621
Optimality      xxvii 71
Optimality criteria      425
Optimality criteria, A      426
Optimality criteria, D      396 426
Optimality criteria, E      426
Optimality criteria, G      396 427
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