Introduction to Statistical Decision Theory

Name: Introduction to Statistical Decision Theory
Availability: OutOfStock
ISBN: 9780262161442

ISBN-10: 0262161443

ISBN-13: 9780262161442

Edition: 1995

Authors: John Pratt, Howard Raiffa, Robert Schlaifer, John W. Pratt

List price: $105.00

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Description:

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 Theorystates 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.…

Book details

List price: $105.00
Copyright year: 1995
Publisher: MIT Press
Publication date: 3/27/1995
Binding: Hardcover
Pages: 895
Size: 7.25" wide x 10.50" long x 2.00" tall
Weight: 4.180
Language: English



Preface



Introduction



An Informal Treatment of Foundations



A Formal Treatment of Foundations



Assessment of Utilities for Consequences



Quantification of Judgments



Analysis of Decision Trees



Random Variables



Continuous Lotteries and Expectations



Special Univariate Distributions



Conditional Probability and Bayes' Theorem



Bernoulli Process



Terminal Analysis: Opportunity Loss and the Value of Perfect Information



Paired Random Variables



Preposterior Analysis: The Value of Sample Information



Poisson Process



Normal Process with Known Variance



Normal Process with Unknown Variance



Large Sample Theory



Statistical Analysis in Normal Form



Classical Methods



Multivariate Random Variables



The Multivariate Normal Distribution



Choosing the Best of Several Processes



Allowance for Uncertain Bias



Stratification



The Portfolio Problem



Normal Linear Regression with Known Variance


Appendix 1: The Terminology of Sets


Appendix 2: Elements of Matrix Theory


Appendix 3: Properties of Utility Functions for Monetary Consequences


Appendix 4: Tables


Bibliography


Index