Format:
1 Online-Ressource (256 Seiten)
,
Diagramme
ISBN:
9781315136288
Series Statement:
Chapman and Hall/CRC Texts in Statistical Science v.38
Content:
Cover -- Half Title -- Title Page -- Copyright Page -- Table of Contents -- Preface -- Part 1: Basic Probability -- 1: Modes of Convergence -- 2: Partial Converses to Theorem 1 -- 3: Convergence in Law -- 4: Laws of Large Numbers -- 5: Central Limit Theorems -- Part 2: Basic Statistical Large Sample Theory -- 6: Slutsky Theorems -- 7: Functions of the Sample Moments -- 8: The Sample Correlation Coefficient -- 9: Pearson's Chi-Square -- 10: Asymptotic Power of the Pearson Chi-Square Test -- Part 3: Special Topics -- 11: Stationary m-Dependent Sequences -- 12: Some Rank Statistics -- 13: Asymptotic Distribution of Sample Quantiles -- 14: Asymptotic Theory of Extreme Order Statistics -- 15: Asymptotic Joint Distributions of Extrema -- Part 4: Efficient Estimation and Testing -- 16: A Uniform Strong Law of Large Numbers -- 17: Strong Consistency of Maximum-Likelihood Estimates -- 18: Asymptotic Normality of the Maximum-Likelihood Estimate -- 19: The Cram6r-Rao Lower Bound -- 20: Asymptotic Efficiency -- 21: Asymptotic Normality of Posterior Distributions -- 22: Asymptotic Distribution of the Likelihood Ratio Test Statistic -- 23: Minimum Chi-Square Estimates -- 24: General Chi-Square Tests -- Appendix: Solutions to the exercises -- References -- Index
Additional Edition:
ISBN 9780412043710
Language:
English
DOI:
10.1201/9781315136288