Introduction to Statistical Decision Theory
Author | : John Winsor Pratt |
Publisher | : |
Total Pages | : 875 |
Release | : 1994 |
Genre | : Statistical Decision |
ISBN | : |
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Author | : John Winsor Pratt |
Publisher | : |
Total Pages | : 875 |
Release | : 1994 |
Genre | : Statistical Decision |
ISBN | : |
Author | : Silvia Bacci |
Publisher | : CRC Press |
Total Pages | : 305 |
Release | : 2019-07-11 |
Genre | : Mathematics |
ISBN | : 1351621394 |
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 |
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 | : John Winsor Pratt |
Publisher | : MIT Press |
Total Pages | : 906 |
Release | : 1995 |
Genre | : Business & Economics |
ISBN | : 9780262161442 |
They then examine the Bernoulli, Poisson, and Normal (univariate and multivariate) data generating processes.
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.
Author | : Lionel Weiss |
Publisher | : |
Total Pages | : 212 |
Release | : 1961 |
Genre | : Linear programming |
ISBN | : |
Author | : Michael Zabarankin |
Publisher | : Springer Science & Business Media |
Total Pages | : 254 |
Release | : 2013-12-16 |
Genre | : Business & Economics |
ISBN | : 1461484715 |
Statistical Decision Problems presents a quick and concise introduction into the theory of risk, deviation and error measures that play a key role in statistical decision problems. It introduces state-of-the-art practical decision making through twenty-one case studies from real-life applications. The case studies cover a broad area of topics and the authors include links with source code and data, a very helpful tool for the reader. In its core, the text demonstrates how to use different factors to formulate statistical decision problems arising in various risk management applications, such as optimal hedging, portfolio optimization, cash flow matching, classification, and more. The presentation is organized into three parts: selected concepts of statistical decision theory, statistical decision problems, and case studies with portfolio safeguard. The text is primarily aimed at practitioners in the areas of risk management, decision making, and statistics. However, the inclusion of a fair bit of mathematical rigor renders this monograph an excellent introduction to the theory of general error, deviation, and risk measures for graduate students. It can be used as supplementary reading for graduate courses including statistical analysis, data mining, stochastic programming, financial engineering, to name a few. The high level of detail may serve useful to applied mathematicians, engineers, and statisticians interested in modeling and managing risk in various applications.
Author | : Shanti S. Gupta |
Publisher | : Springer Science & Business Media |
Total Pages | : 535 |
Release | : 2012-12-06 |
Genre | : Business & Economics |
ISBN | : 146122618X |
The Fifth Purdue International Symposium on Statistical Decision The was held at Purdue University during the period of ory and Related Topics June 14-19,1992. The symposium brought together many prominent leaders and younger researchers in statistical decision theory and related areas. The format of the Fifth Symposium was different from the previous symposia in that in addition to the 54 invited papers, there were 81 papers presented in contributed paper sessions. Of the 54 invited papers presented at the sym posium, 42 are collected in this volume. The papers are grouped into a total of six parts: Part 1 - Retrospective on Wald's Decision Theory and Sequential Analysis; Part 2 - Asymptotics and Nonparametrics; Part 3 - Bayesian Analysis; Part 4 - Decision Theory and Selection Procedures; Part 5 - Probability and Probabilistic Structures; and Part 6 - Sequential, Adaptive, and Filtering Problems. While many of the papers in the volume give the latest theoretical developments in these areas, a large number are either applied or creative review papers.
Author | : Howard Raiffa |
Publisher | : |
Total Pages | : 356 |
Release | : 1966 |
Genre | : |
ISBN | : |
Author | : Lucien Le Cam |
Publisher | : Springer Science & Business Media |
Total Pages | : 767 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461249465 |
This book grew out of lectures delivered at the University of California, Berkeley, over many years. The subject is a part of asymptotics in statistics, organized around a few central ideas. The presentation proceeds from the general to the particular since this seemed the best way to emphasize the basic concepts. The reader is expected to have been exposed to statistical thinking and methodology, as expounded for instance in the book by H. Cramer [1946] or the more recent text by P. Bickel and K. Doksum [1977]. Another pos sibility, closer to the present in spirit, is Ferguson [1967]. Otherwise the reader is expected to possess some mathematical maturity, but not really a great deal of detailed mathematical knowledge. Very few mathematical objects are used; their assumed properties are simple; the results are almost always immediate consequences of the definitions. Some objects, such as vector lattices, may not have been included in the standard background of a student of statistics. For these we have provided a summary of relevant facts in the Appendix. The basic structures in the whole affair are systems that Blackwell called "experiments" and "transitions" between them. An "experiment" is a mathe matical abstraction intended to describe the basic features of an observational process if that process is contemplated in advance of its implementation. Typically, an experiment consists of a set E> of theories about what may happen in the observational process.