Principles of Uncertainty

Joseph B. Kadane

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May 18, 2011 by Chapman and Hall/CRC
Professional - 503 Pages - 28 B/W Illustrations
ISBN 9781439861615 - CAT# K12848
Series: Chapman & Hall/CRC Texts in Statistical Science

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Features

2011 Degroot Prize Winner!

  • Well-written and comprehensive introduction to theory of Bayesian statistics
  • Each of the introductory chapters begins by introducing one new concept or assumption
  • Uses "just-in-time mathematics"—the introduction to mathematical ideas just before they are applied
  • Each chapter ends with a summary and exercises

Summary

An intuitive and mathematical introduction to subjective probability and Bayesian statistics.

An accessible, comprehensive guide to the theory of Bayesian statistics, Principles of Uncertainty presents the subjective Bayesian approach, which has played a pivotal role in game theory, economics, and the recent boom in Markov Chain Monte Carlo methods. Both rigorous and friendly, the book contains:

  • Introductory chapters examining each new concept or assumption
  • Just-in-time mathematics – the presentation of ideas just before they are applied
  • Summary and exercises at the end of each chapter
  • Discussion of maximization of expected utility
  • The basics of Markov Chain Monte Carlo computing techniques
  • Problems involving more than one decision-maker

Written in an appealing, inviting style, and packed with interesting examples, Principles of Uncertainty introduces the most compelling parts of mathematics, computing, and philosophy as they bear on statistics. Although many books present the computation of a variety of statistics and algorithms while barely skimming the philosophical ramifications of subjective probability, this book takes a different tack. By addressing how to think about uncertainty, this book gives readers the intuition and understanding required to choose a particular method for a particular purpose.