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Author : John Winsor Pratt
Release : 1994
Genre : Statistical Decision
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Introduction to Statistical Decision Theory by : John Winsor Pratt
Download or read book Introduction to Statistical Decision Theory written by John Winsor Pratt. This book was released on 1994. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John Winsor Pratt
Release : 1995
Genre : Business & Economics
Kind : eBook
Book Rating : 442/5 ( reviews)
Book Synopsis Introduction to Statistical Decision Theory by : John Winsor Pratt
Download or read book Introduction to Statistical Decision Theory written by John Winsor Pratt. This book was released on 1995. Available in PDF, EPUB and Kindle. Book excerpt: They then examine the Bernoulli, Poisson, and Normal (univariate and multivariate) data generating processes.
Author : Silvia Bacci
Release : 2019-07-11
Genre : Mathematics
Kind : eBook
Book Rating : 394/5 ( reviews)
Book Synopsis Introduction to Statistical Decision Theory by : Silvia Bacci
Download or read book Introduction to Statistical Decision Theory written by Silvia Bacci. This book was released on 2019-07-11. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Statistical Decision Theory: Utility Theory and Causal Analysis provides the theoretical background to approach decision theory from a statistical perspective. It covers both traditional approaches, in terms of value theory and expected utility theory, and recent developments, in terms of causal inference. The book is specifically designed to appeal to students and researchers that intend to acquire a knowledge of statistical science based on decision theory. Features Covers approaches for making decisions under certainty, risk, and uncertainty Illustrates expected utility theory and its extensions Describes approaches to elicit the utility function Reviews classical and Bayesian approaches to statistical inference based on decision theory Discusses the role of causal analysis in statistical decision theory
Author : James O. Berger
Release : 2013-03-14
Genre : Mathematics
Kind : eBook
Book Rating : 86X/5 ( reviews)
Book Synopsis Statistical Decision Theory and Bayesian Analysis by : James O. Berger
Download or read book Statistical Decision Theory and Bayesian Analysis written by James O. Berger. This book was released on 2013-03-14. Available in PDF, EPUB and Kindle. Book excerpt: In this new edition the author has added substantial material on Bayesian analysis, including lengthy new sections on such important topics as empirical and hierarchical Bayes analysis, Bayesian calculation, Bayesian communication, and group decision making. With these changes, the book can be used as a self-contained introduction to Bayesian analysis. In addition, much of the decision-theoretic portion of the text was updated, including new sections covering such modern topics as minimax multivariate (Stein) estimation.
Author : David A. Blackwell
Release : 2012-06-14
Genre : Mathematics
Kind : eBook
Book Rating : 895/5 ( reviews)
Book Synopsis Theory of Games and Statistical Decisions by : David A. Blackwell
Download or read book Theory of Games and Statistical Decisions written by David A. Blackwell. This book was released on 2012-06-14. Available in PDF, EPUB and Kindle. Book excerpt: Evaluating statistical procedures through decision and game theory, as first proposed by Neyman and Pearson and extended by Wald, is the goal of this problem-oriented text in mathematical statistics. First-year graduate students in statistics and other students with a background in statistical theory and advanced calculus will find a rigorous, thorough presentation of statistical decision theory treated as a special case of game theory. The work of Borel, von Neumann, and Morgenstern in game theory, of prime importance to decision theory, is covered in its relevant aspects: reduction of games to normal forms, the minimax theorem, and the utility theorem. With this introduction, Blackwell and Professor Girshick look at: Values and Optimal Strategies in Games; General Structure of Statistical Games; Utility and Principles of Choice; Classes of Optimal Strategies; Fixed Sample-Size Games with Finite Ω and with Finite A; Sufficient Statistics and the Invariance Principle; Sequential Games; Bayes and Minimax Sequential Procedures; Estimation; and Comparison of Experiments. A few topics not directly applicable to statistics, such as perfect information theory, are also discussed. Prerequisites for full understanding of the procedures in this book include knowledge of elementary analysis, and some familiarity with matrices, determinants, and linear dependence. For purposes of formal development, only discrete distributions are used, though continuous distributions are employed as illustrations. The number and variety of problems presented will be welcomed by all students, computer experts, and others using statistics and game theory. This comprehensive and sophisticated introduction remains one of the strongest and most useful approaches to a field which today touches areas as diverse as gambling and particle physics.
