Decision Theory
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Author | : Martin Peterson |
Publisher | : Cambridge University Press |
Total Pages | : 351 |
Release | : 2017-03-30 |
Genre | : Business & Economics |
ISBN | : 1107151597 |
A comprehensive and accessible introduction to all aspects of decision theory, now with new and updated discussions and over 140 exercises.
Author | : Giovanni Parmigiani |
Publisher | : John Wiley & Sons |
Total Pages | : 416 |
Release | : 2009-05-26 |
Genre | : Business & Economics |
ISBN | : |
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.
Author | : Richard Bradley |
Publisher | : Cambridge University Press |
Total Pages | : 351 |
Release | : 2017-10-26 |
Genre | : Business & Economics |
ISBN | : 1107003210 |
Explores how decision-makers can manage uncertainty that varies in both kind and severity by extending and supplementing Bayesian decision theory.
Author | : Herman Chernoff |
Publisher | : Courier Corporation |
Total Pages | : 386 |
Release | : 1986-01-01 |
Genre | : Mathematics |
ISBN | : 9780486652184 |
This well-respected introduction to statistics and statistical theory covers data processing, probability and random variables, utility and descriptive statistics, computation of Bayes strategies, models, testing hypotheses, and much more. 1959 edition.
Author | : Itzhak Gilboa |
Publisher | : Cambridge University Press |
Total Pages | : 216 |
Release | : 2009-03-16 |
Genre | : Business & Economics |
ISBN | : 052151732X |
This book describes the classical axiomatic theories of decision under uncertainty, as well as critiques thereof and alternative theories. It focuses on the meaning of probability, discussing some definitions and surveying their scope of applicability. The behavioral definition of subjective probability serves as a way to present the classical theories, culminating in Savage's theorem. The limitations of this result as a definition of probability lead to two directions - first, similar behavioral definitions of more general theories, such as non-additive probabilities and multiple priors, and second, cognitive derivations based on case-based techniques.
Author | : James O. Berger |
Publisher | : Springer Science & Business Media |
Total Pages | : 633 |
Release | : 2013-03-14 |
Genre | : Mathematics |
ISBN | : 147574286X |
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 | : Mark Kaplan |
Publisher | : Cambridge University Press |
Total Pages | : 250 |
Release | : 1996 |
Genre | : Philosophy |
ISBN | : 9780521624961 |
Kaplan presents an accessible new variant on Bayesian decision theory.
Author | : John Winsor Pratt |
Publisher | : |
Total Pages | : 875 |
Release | : 1994 |
Genre | : Statistical Decision |
ISBN | : |
Author | : James Berger |
Publisher | : Springer Science & Business Media |
Total Pages | : 440 |
Release | : 2013-04-17 |
Genre | : Mathematics |
ISBN | : 147571727X |
Decision theory is generally taught in one of two very different ways. When of opti taught by theoretical statisticians, it tends to be presented as a set of mathematical techniques mality principles, together with a collection of various statistical procedures. When useful in establishing the optimality taught by applied decision theorists, it is usually a course in Bayesian analysis, showing how this one decision principle can be applied in various practical situations. The original goal I had in writing this book was to find some middle ground. I wanted a book which discussed the more theoretical ideas and techniques of decision theory, but in a manner that was constantly oriented towards solving statistical problems. In particular, it seemed crucial to include a discussion of when and why the various decision prin ciples should be used, and indeed why decision theory is needed at all. This original goal seemed indicated by my philosophical position at the time, which can best be described as basically neutral. I felt that no one approach to decision theory (or statistics) was clearly superior to the others, and so planned a rather low key and impartial presentation of the competing ideas. In the course of writing the book, however, I turned into a rabid Bayesian. There was no single cause for this conversion; just a gradual realization that things seemed to ultimately make sense only when looked at from the Bayesian viewpoint.
Author | : F. Liese |
Publisher | : Springer Science & Business Media |
Total Pages | : 696 |
Release | : 2008-12-30 |
Genre | : Mathematics |
ISBN | : 0387731946 |
For advanced graduate students, this book is a one-stop shop that presents the main ideas of decision theory in an organized, balanced, and mathematically rigorous manner, while observing statistical relevance. All of the major topics are introduced at an elementary level, then developed incrementally to higher levels. The book is self-contained as it provides full proofs, worked-out examples, and problems. The authors present a rigorous account of the concepts and a broad treatment of the major results of classical finite sample size decision theory and modern asymptotic decision theory. With its broad coverage of decision theory, this book fills the gap between standard graduate texts in mathematical statistics and advanced monographs on modern asymptotic theory.