Statistical decision theory : estimation, testing, and selection
著者
書誌事項
Statistical decision theory : estimation, testing, and selection
（Springer series in statistics）
Springer, c2010
- : [paperback]
- タイトル別名
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Statistical decision theory
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注記
Includes bibliographical references (p. [640]-662) and indexes
内容説明・目次
内容説明
For advanced graduate students, this book is a one-stop shop that presents the main ideas of decision theory in an organized, balanced, and mathematically rigorous manner, while observing statistical relevance. All of the major topics are introduced at an elementary level, then developed incrementally to higher levels. The book is self-contained as it provides full proofs, worked-out examples, and problems. The authors present a rigorous account of the concepts and a broad treatment of the major results of classical finite sample size decision theory and modern asymptotic decision theory. With its broad coverage of decision theory, this book fills the gap between standard graduate texts in mathematical statistics and advanced monographs on modern asymptotic theory.
目次
Statistical Models.- Tests in Models with Monotonicity Properties.- Statistical Decision Theory.- Comparison of Models, Reduction by.- Invariant Statistical Decision Models.- Large Sample Approximations of Models and Decisions.- Estimation.- Testing.- Selection.
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