Theory of StatisticsSpringer Science & Business Media, 6 dec. 2012 - 716 sidor The aim of this graduate textbook is to provide a comprehensive advanced course in the theory of statistics covering those topics in estimation, testing, and large sample theory which a graduate student might typically need to learn as preparation for work on a Ph.D. An important strength of this book is that it provides a mathematically rigorous and even-handed account of both Classical and Bayesian inference in order to give readers a broad perspective. For example, the "uniformly most powerful" approach to testing is contrasted with available decision-theoretic approaches. |
Innehåll
| 1 | |
Fisher Information | 118 |
Decision Theory | 144 |
Hypothesis Testing | 214 |
144 | 280 |
Estimation | 296 |
Maximum Likelihood Estimation | 307 |
1 | 344 |
Measure and Integration Theory | 570 |
Probability Theory | 606 |
Mathematical Theorems Not Proven Here | 665 |
References | 675 |
| 689 | |
| 691 | |
| 694 | |
Distributional Symmetry | 704 |
Equivariance | 351 |
Large Sample Theory | 394 |
Hierarchical Models | 476 |
Sequential Analysis | 536 |
216 | 708 |
Sufficient Statistics | 710 |
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