Asymptotic Theory of Testing Statistical Hypotheses : : Efficient Statistics, Optimality, Power Loss and Deficiency / / Vladimir E. Bening.
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| Superior document: | Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 |
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| VerfasserIn: | |
| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2011] ©2000 |
| Year of Publication: | 2011 |
| Edition: | Reprint 2011 |
| Language: | English |
| Series: | Modern Probability and Statistics ,
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| Online Access: | |
| Physical Description: | 1 online resource (277 p.) |
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Table of Contents:
- I-IV
- Contents
- Foreword
- Preface
- Notations
- 1. Asymptotic test theory
- 2. Asymptotic expansions under alternatives
- 3. Power loss
- 4. Edgeworth expansion for the likelihood ratio
- A. LeCam's Third Lemma
- B. Convergence rate under alternatives
- C. Proof of Theorem 1.3.1
- D. The Neyman-Pearson Lemma
- Ε. Edgeworth expansions
- F. Proof of Lemmas 2.6.1–2.6.5
- G. Proof of Lemmas 3.7.1–3.7.5
- Η. Asymptotically complete classes
- I. Higher order asymptotics for R-, L-, and U-statistics
- Bibliography
- Subject Index
- Author Index