Introduction to Statistical Decision Theory (Paperback)
暫譯: 統計決策理論導論 (平裝本)
John Pratt , Howard Raiffa , Robert Schlaifer
- 出版商: MIT
- 出版日期: 2008-03-01
- 定價: $1,750
- 售價: 6.0 折 $1,050
- 語言: 英文
- 頁數: 875
- ISBN: 026266206X
- ISBN-13: 9780262662062
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商品描述
The Bayesian revolution in statistics--where statistics is integrated with decision making in areas such as management, public policy, engineering, and clinical medicine--is here to stay. Introduction to Statistical Decision Theory states the case and in a self-contained, comprehensive way shows how the approach is operational and relevant for real-world decision making under uncertainty.
Starting with an extensive account of the foundations of decision theory, the authors develop the intertwining concepts of subjective probability and utility. They then systematically and comprehensively examine the Bernoulli, Poisson, and Normal (univariate and multivariate) data generating processes. For each process they consider how prior judgments about the uncertain parameters of the process are modified given the results of statistical sampling, and they investigate typical decision problems in which the main sources of uncertainty are the population parameters. They also discuss the value of sampling information and optimal sample sizes given sampling costs and the economics of the terminal decision problems.
Unlike most introductory texts in statistics, Introduction to Statistical Decision Theory integrates statistical inference with decision making and discusses real-world actions involving economic payoffs and risks. After developing the rationale and demonstrating the power and relevance of the subjective, decision approach, the text also examines and critiques the limitations of the objective, classical approach.
商品描述(中文翻譯)
貝葉斯統計革命——將統計學與管理、公眾政策、工程和臨床醫學等領域的決策整合在一起——已經成為一種持久的趨勢。《統計決策理論導論》闡述了這一觀點,並以自成體系、全面的方式展示了這種方法在不確定性下的實際決策中的操作性和相關性。
本書從決策理論的基礎開始,詳細介紹了主觀概率和效用這兩個交織的概念。接著,作者系統性且全面地檢視了伯努利、泊松和正態(單變量和多變量)數據生成過程。對於每一個過程,他們考慮了在統計抽樣結果的基礎上,如何修正對該過程不確定參數的先驗判斷,並探討了主要不確定性來源為人口參數的典型決策問題。他們還討論了在考慮抽樣成本和終端決策問題的經濟學時,抽樣信息的價值和最佳樣本大小。
與大多數統計學入門書籍不同,《統計決策理論導論》將統計推斷與決策制定相結合,並討論涉及經濟收益和風險的現實行動。在發展理論基礎並展示主觀決策方法的力量和相關性之後,本書還檢視並批評了客觀、經典方法的局限性。