Multiple Decision Procedures From An Empirical Bayes Approach
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Multiple Decision Procedures
Author | : Shanti S. Gupta |
Publisher | : SIAM |
Total Pages | : 592 |
Release | : 2002-01-01 |
Genre | : Mathematics |
ISBN | : 0898715326 |
An encyclopaedic coverage of the literature in the area of ranking and selection procedures. It also deals with the estimation of unknown ordered parameters. This book can serve as a text for a graduate topics course in ranking and selection. It is also a valuable reference for researchers and practitioners.
Empirical Bayes with Sequential Components
Author | : Rohana Jith Karunamuni |
Publisher | : |
Total Pages | : 148 |
Release | : 1985 |
Genre | : Bayesian statistical decision theory |
ISBN | : |
On Multiple Decision (Subset Selection) Procedures
Author | : Shanti S. Gupta |
Publisher | : |
Total Pages | : 93 |
Release | : 1971 |
Genre | : |
ISBN | : |
The report is a survey of developments and significant results in the area of multiple decision procedures under the subset selection formulation. Section 2 deals with procedures for location and scale parameters. A general theory of the subset selection problem and a decision-theoretic formulation are discussed in Section 3. Sections 4 through 7 deal with parametric and non- parametric procedures for discrete populations, multinomial cells and multivariate normal populations using single-stage sampling, inverse sampling and sequential sampling. Section 8 describes procedures applicable to restricted families of distributions such as the increasing failure rate (IFR) and increasing failure rate on the average (IFRA) distributions. Bayes and empirical Bayes procedures are discussed in Section 9. The last section summarizes briefly several modifications of the basic problem and goal.
Empirical Bayes Methods with Applications
Author | : J.S. Maritz |
Publisher | : CRC Press |
Total Pages | : 296 |
Release | : 2018-01-18 |
Genre | : Mathematics |
ISBN | : 1351080113 |
The second edition of Empirical Bayes Methods details are provided of the derivation and the performance of empirical Bayes rules for a variety of special models. Attention is given to the problem of assessing the goodness of an empirical Bayes estimator for a given set of prior data. A chapter is devoted to a discussion of alternatives to the empirical Bayes approach and there is also a chapter giving details of several actual applications of empirical Bayes method.
The Empirical Bayes Two-action Rules with Floating Optimal Sample Size and Exponential Conditional Distributions
Author | : Pekka Laippala |
Publisher | : |
Total Pages | : 92 |
Release | : 1980 |
Genre | : Bayesian statistical decision theory |
ISBN | : |
Statistical Decision Theory
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.
Probability and Bayesian Statistics
Author | : R. Viertl |
Publisher | : Springer Science & Business Media |
Total Pages | : 505 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461318858 |
This book contains selected and refereed contributions to the "Inter national Symposium on Probability and Bayesian Statistics" which was orga nized to celebrate the 80th birthday of Professor Bruno de Finetti at his birthplace Innsbruck in Austria. Since Professor de Finetti died in 1985 the symposium was dedicated to the memory of Bruno de Finetti and took place at Igls near Innsbruck from 23 to 26 September 1986. Some of the pa pers are published especially by the relationship to Bruno de Finetti's scientific work. The evolution of stochastics shows growing importance of probability as coherent assessment of numerical values as degrees of believe in certain events. This is the basis for Bayesian inference in the sense of modern statistics. The contributions in this volume cover a broad spectrum ranging from foundations of probability across psychological aspects of formulating sub jective probability statements, abstract measure theoretical considerations, contributions to theoretical statistics and stochastic processes, to real applications in economics, reliability and hydrology. Also the question is raised if it is necessary to develop new techniques to model and analyze fuzzy observations in samples. The articles are arranged in alphabetical order according to the family name of the first author of each paper to avoid a hierarchical ordering of importance of the different topics. Readers interested in special topics can use the index at the end of the book as guide.
Statistical Decision Theory and Related Topics V
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.