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Bickel P., Doksum K. — Mathematical statistics
Bickel P., Doksum K. — Mathematical statistics



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Название: Mathematical statistics

Авторы: Bickel P., Doksum K.

Аннотация:

This classic, time-honored introduction to the theory and practice of statistics modeling and inference reflects the changing focus of contemporary Statistics. Coverage begins with the more general nonparametric point of view and then looks at parametric models as submodels of the nonparametric ones which can be described smoothly by Euclidean parameters. Although some computational issues are discussed, this is very much a book on theory. It relates theory to conceptual and technical issues encountered in practice, viewing theory as suggestive for practice, not prescriptive. It shows readers how assumptions which lead to neat theory may be unrealistic in practice. Statistical Models, Goals, and Performance Criteria. Methods of Estimation. Measures of Performance, Notions of Optimality, and Construction of Optimal Procedures in Simple Situations. Testing Statistical Hypotheses: Basic Theory. Asymptotic Approximations. Multiparameter Estimation, Testing and Confidence Regions. A Review of Basic Probability Theory. More Advanced Topics in Analysis and Probability. Matrix Algebra. For anyone interested in mathematical statistics working in statistics, bio-statistics, economics, computer science, and mathematics.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 2nd

Год издания: 2001

Количество страниц: 556

Добавлена в каталог: 03.01.2014

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Robustness of tests      419
Saddle point      199
Sample      3
Sample of size n      448
Sample space      5 442
Sample, correlation      140 267
Sample, covariance      140
Sample, cumulant      139
Sample, mean      8 45
Sample, median      105 149 192
Sample, quantile      105
Sample, random      3
Sample, regression line      111
Sample, variance      8 45
Sampling inspection      3
SCALE      457
Scale parameter      463
Scheffe's theorem      468
Scheffe's theorem, multivariate case      514
Score test      335 336 399
Selecting at random      444
Selection      75 247
Sensitivity curve      192
Shannon's lemma      116
Shift and scale equivariant      209
Shift equivariant      206 208
Signal to noise, fixed      126
Slutsky's theorem      467
Slutsky's theorem, multivariate      512
Spectral theorem      519
Square root matrix      507
Standard deviation      457
Standard error      381
Standard normal distribution      464
Statistic      8
Statistic, ancillary      48
Statistic, equivalent      43
Statistic, sufficient      42
Statistic, sufficient, Bayes      46
Statistic, sufficient, minimal      46
Statistic, sufficient, natural      52
Stochastic ordering      67 209
Stratified sampling      76 205
Substitution theorem for conditional expectations      481
Superefficiency      332
Survey sampling      177
Survey sampling, model based approach      350
Survival functions      70
Symmetric distribution      68
Symmetric matrices      519
Symmetric variable      68
t distribution      491
t distribution, moments      530
Taylor expansion      517
Test function      23
Test size      217
Test statistic      216
Testing      16 213
Testing independence in contingency tables      405
Testing, Bayes      165 225
Total differential      517
Transformation, affine      487
Transformation, k linear      516
Transformation, linear      487 516
Transformation, orthogonal      494
Trimmed mean      194 206
Trimmed mean, sensitivity curve      194
Type I error      23 216
Type II error      23 216
UMP      226 227 see
UMVU      177 see
Uncorrelated      459
Unidentifiable      6
Uniform distribution      465
Uniform distribution, discrete, MLE      115
Uniformly minimum variance unbiased (UMVU)      177
Uniformly most powerful (UMP)      226 227
Uniformly most powerful, asymptotically      334
Variance      457
Variance of random matrix      503
Variance stabilizing transformation      316 317
Variance stabilizing transformation for binomial      352
Variance stabilizing transformation for correlation coefficient      320 350
Variance stabilizing transformation for Poisson      317
Variance stabilizing transformation in GLM      416
Variance, sensitivity curve      195
Variance-covariance matrix      498
Von Neumann's theorem      171
Wald confidence regions      399
Wald statistic      398
Wald statistic, asymptotic chi-square distribution      398
Wald test      335 399
Wald test, multinomial goodness-of-fit      401
Weak law of large numbers for vectors      511
Weibull density      84
Weighted least squares      113 147
Wilks's theorem      393—395 397
X~F, X is distributed according to F      463
z-score      457
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