Mathematical statistics : basic ideas and selected topics
著者
書誌事項
Mathematical statistics : basic ideas and selected topics
（Texts in statistical science）
CRC Press, c2015
2nd ed
- v. 1
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注記
"A Chapman & Hall book."
Includes bibliographical references and index
内容説明・目次
内容説明
Mathematical Statistics: Basic Ideas and Selected Topics, Volume I, Second Edition presents fundamental, classical statistical concepts at the doctorate level. It covers estimation, prediction, testing, confidence sets, Bayesian analysis, and the general approach of decision theory. This edition gives careful proofs of major results and explains how the theory sheds light on the properties of practical methods.
The book first discusses non- and semiparametric models before covering parameters and parametric models. It then offers a detailed treatment of maximum likelihood estimates (MLEs) and examines the theory of testing and confidence regions, including optimality theory for estimation and elementary robustness considerations. It next presents basic asymptotic approximations with one-dimensional parameter models as examples. The book also describes inference in multivariate (multiparameter) models, exploring asymptotic normality and optimality of MLEs, Wald and Rao statistics, generalized linear models, and more.
Mathematical Statistics: Basic Ideas and Selected Topics, Volume II will be published in 2015. It will present important statistical concepts, methods, and tools not covered in Volume I.
目次
STATISTICAL MODELS, GOALS, AND PERFORMANCE CRITERIA. METHODS OF ESTIMATION. MEASURES OF PERFORMANCE. TESTING AND CONFIDENCE REGIONS. ASYMPTOTIC APPROXIMATIONS. INFERENCE IN THE MULTIPARAMETER CASE. APPENDICES. INDEX.
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