Theoretical StatisticsCRC Press, 06.09.1979 - 528 Seiten A text that stresses the general concepts of the theory of statistics Theoretical Statistics provides a systematic statement of the theory of statistics, emphasizing general concepts rather than mathematical rigor. Chapters 1 through 3 provide an overview of statistics and discuss some of the basic philosophical ideas and problems behind statistica |
Inhalt
| 1 | |
| 11 | |
Pure significance tests | 64 |
Significance tests simple null hypotheses | 88 |
Significance tests composite null hypotheses | 131 |
Distributionfree and randomization tests | 179 |
Interval estimation | 207 |
Point estimation | 250 |
Bayesian methods | 364 |
Decision theory | 412 |
Determination of probability distributions | 462 |
Order statistics | 466 |
Secondorder regression for arbitrary random variables | 475 |
| 478 | |
| 496 | |
| 499 | |
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alternative analysis ancillary statistic apply approach approximation arbitrary argument asymptotic Bayes Bayesian calculation Chapter chi-squared chi-squared distribution component con conditional distribution confidence intervals confidence limits confidence region consider consistent corresponding critical region decision rule defined denote depend derived discussion distri equation equivalent Example exponential family follows fy(y give given independent involving likelihood function likelihood principle likelihood ratio linear matrix maximal invariant maximum likelihood mean methods minimal sufficient statistic Neyman normal distribution normal-theory nuisance parameters null hypothesis observations obtained optimal order statistics parameter space parameter values particular permutation Poisson Poisson distribution possible posterior distribution principle prior density prior distribution probability problem procedure properties random variables regression risk function sample Section significance test similar simple situation sufficient statistic Suppose test statistic theorem theory transformations uniformly most powerful unknown parameters variance vector Y₁ zero