Mathematical statistics
著者
書誌事項
Mathematical statistics
（Springer texts in statistics）
Springer, c2003
2nd ed
- : pbk
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注記
Includes bibliographical references and indexes
内容説明・目次
内容説明
This graduate textbook covers topics in statistical theory essential for graduate students preparing for work on a Ph.D. degree in statistics. This new edition has been revised and updated and in this fourth printing, errors have been ironed out. The first chapter provides a quick overview of concepts and results in measure-theoretic probability theory that are useful in statistics. The second chapter introduces some fundamental concepts in statistical decision theory and inference. Subsequent chapters contain detailed studies on some important topics: unbiased estimation, parametric estimation, nonparametric estimation, hypothesis testing, and confidence sets. A large number of exercises in each chapter provide not only practice problems for students, but also many additional results.
目次
Probability Theory * Fundamentals of Statistics * Unbiased Estimation * Estimation in Parametric Models * Estimation in Nonparametric Models * Hypothesis Tests * Confidence Sets
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