A comparison of the Bayesian and frequentist approaches to estimation / Francisco J. Samaniego
| データ種別 | 電子書籍 |
|---|---|
| 出版者 | New York ; London : Springer |
| 出版年 | c2010 |
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| 書誌ID | OB01023816 |
|---|---|
| 本文言語 | 英語 |
| 一般注記 | Includes bibliographical references (p. [213]-219) and index License restrictions may limit access "This monograph contributes to the area of comparative statistical inference. Attention is restricted to the important subfield of statistical estimation. The book is intended for an audience having a solid grounding in probability and statistics at the level of the year-long undergraduate course taken by statistics and mathematics majors. The necessary background on decision theory and the frequentist and Bayesian approaches to estimation is presented and carefully discussed in Chapters 1-3. The "threshold problem"--identifying the boundary between Bayes estimators which tend to outperform standard frequentist estimators and Bayes estimators which don't--is formulated in an analytically tractable way in Chapter 4. The formulation includes a specific (decision-theory based) criterion for comparing estimators. The centerpiece of the monograph is Chapter 5, in which, under quite general conditions, an explicit solution to the threshold is obtained for the problem of estimating a scalar parameter under squared error loss. The six chapters that follow address a variety of other contexts in which the threshold problem can be productively treated. Included are treatments of the Bayesian consensus problem, the threshold problem for estimation problems involving of multidimensional parameters and/or asymmetric loss, the estimation of nonidentifiable parameters, empirical Bayes methods for combining data from 'similar' experiments, and linear Bayes methods for combining data from 'related' experiments. The final chapter provides an overview of the monograph's highlights and a discussion of areas and problems in need of further research."--BOOK JACKET |
| 著者標目 | *Samaniego, Francisco J |
| 統一書名標目 | Springer series in statistics. |
| 件 名 | LCSH:Estimation theory LCSH:Statistical decision LCSH:Bayesian statistical decision theory LCSH:Mathematical statistics |
| 分 類 | LCC:QA276.8 |
| 巻冊次 | ISBN:9781441959409 RefWorks出力（各巻） ISBN:1441959408 RefWorks出力（各巻） |
| 資料種別 | 機械可読データファイル |
| 所蔵情報へのリンク | A comparison of the Bayesian and frequentist approaches to estimation / Francisco J. Samaniego ; : hbk |
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※2020年8月16日以降