Book description
Decision theory provides a formal framework for making logical choices in the face of uncertainty. Given a set of alternatives, a set of consequences, and a correspondence between those sets, decision theory offers conceptually simple procedures for choice. This book presents an overview of the fundamental concepts and outcomes of rational decision making under uncertainty, highlighting the implications for statistical practice.The authors have developed a series of self contained chapters focusing on bridging the gaps between the different fields that have contributed to rational decision making and presenting ideas in a unified framework and notation while respecting and highlighting the different and sometimes conflicting perspectives.
This book:
- Provides a rich collection of techniques and procedures.
- Discusses the foundational aspects and modern day practice.
- Links foundations to practical applications in biostatistics, computer science, engineering and economics.
- Presents different perspectives and controversies to encourage readers to form their own opinion of decision making and statistics.
Decision Theory is fundamental to all scientific disciplines, including biostatistics, computer science, economics and engineering. Anyone interested in the whys and wherefores of statistical science will find much to enjoy in this book.
Table of contents
- Cover Page
- Title Page
- Copyright Page
- Contents
- Preface
- Acknowledgments
- Chapter 1: Introduction
-
Part One: Foundations
- Chapter 2: Coherence
- Chapter 3: Utility
- Chapter 4: Utility in action
- Chapter 5: Ramsey and Savage
- Chapter 6: State independence
-
Part Two: Statistical Decision Theory
- Chapter 7: Decision functions
- Chapter 8: Admissibility
- Chapter 9: Shrinkage
- Chapter 10: Scoring rules
- Chapter 11: Choosing models
-
Part Three: Optimal Design
- Chapter 12: Dynamic programming
- Chapter 13: Changes in utility as information
- Chapter 14: Sample size
- Chapter 15: Stopping
- Appendix
- References
- Index
- Wiley Series in Probability and Statistics
Product information
- Title: Decision Theory
- Author(s):
- Release date: May 2009
- Publisher(s): Wiley
- ISBN: 9780471496571
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