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Author : J. N. van Niekerk
Publisher :
ISBN 13 :
Total Pages : 125 pages
Book Rating : 4.:/5 (897 download)
Download or read book An Introduction to the Empirical Bayes Approach to Statistical Decision Problems written by J. N. van Niekerk and published by . This book was released on 1978 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Herbert Robbins
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.3/5 (91 download)
Download or read book An Empirical Bayes Approach to Statistics written by Herbert Robbins and published by . This book was released on 1955 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J.S. Maritz
Publisher : CRC Press
ISBN 13 : 1351088564
Total Pages : 360 pages
Book Rating : 4.3/5 (51 download)
Download or read book Empirical Bayes Methods with Applications written by J.S. Maritz and published by CRC Press. This book was released on 2018-01-18 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : J. S. Maritz
Publisher :
ISBN 13 :
Total Pages : 176 pages
Book Rating : 4.F/5 ( download)
Download or read book Empirical Bayes Methods written by J. S. Maritz and published by . This book was released on 1970 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : James O. Berger
Publisher : Springer Science & Business Media
ISBN 13 : 147574286X
Total Pages : 633 pages
Book Rating : 4.4/5 (757 download)
Download or read book Statistical Decision Theory and Bayesian Analysis written by James O. Berger and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 633 pages. 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 : Bradley Efron
Publisher : Cambridge University Press
ISBN 13 : 1139492136
Total Pages : pages
Book Rating : 4.1/5 (394 download)
Download or read book Large-Scale Inference written by Bradley Efron and published by Cambridge University Press. This book was released on 2012-11-29 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: We live in a new age for statistical inference, where modern scientific technology such as microarrays and fMRI machines routinely produce thousands and sometimes millions of parallel data sets, each with its own estimation or testing problem. Doing thousands of problems at once is more than repeated application of classical methods. Taking an empirical Bayes approach, Bradley Efron, inventor of the bootstrap, shows how information accrues across problems in a way that combines Bayesian and frequentist ideas. Estimation, testing and prediction blend in this framework, producing opportunities for new methodologies of increased power. New difficulties also arise, easily leading to flawed inferences. This book takes a careful look at both the promise and pitfalls of large-scale statistical inference, with particular attention to false discovery rates, the most successful of the new statistical techniques. Emphasis is on the inferential ideas underlying technical developments, illustrated using a large number of real examples.
Author : Gerald C. Kozub
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (143 download)
Download or read book The Empirical Bayes Problem written by Gerald C. Kozub and published by . This book was released on 1967 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Consider a statistical decision problem which involves an observable random variable X whose distribution, which depends on an unknown parameter A , is known. Suppose that this problem occurs repeatedly. The sequence is regarded as the realization of the independent random variables A^,A ... with a common unknown a priori probability distribution. The "empirical Bayes problem" refers to the approximation of the Bayes decision function which would be optimal if the a priori distribution were known in advance. Following an introduction and history of the empirical Bayes problem in Chapter I, five main areas are discussed. In Chapter II asymptotically optimal empirical Bayes estimators and tests of hypotheses concerning the true value A of the random variable A are given. Two methods of estimating the a priori distribution are given in Chapter III. In Chapter IV the empirical Bayes approach is used in selecting the "best" of k populations or a subset containing the "best". Empirical Bayes procedures are obtained in the case where the a priori distribution on the parameter space is assumed to belong to a particular parametric family and the case where the a priori distribution is assumed to possess a finite absolute mean. Chapter V deals with the non-parametric case in which the class of conditional probability distributions of X given A is not restricted to a particular parametric family. Analogous results to Chapter II are obtained, and an application is made to the problem of selecting the i 'best" of k populations. The last chapter is concerned with the closely related compound decision problem. The unknown parameter values are regarded as a sequence of arbitrary unknown constants, and information is obtained from the observed sequence x^,x^,... regarding the frequency distribution of the parameters. The aim is to approximate the decision function which would be optimal if the frequency distribution of the parameters were known in advance.
Author : John Van Ryzin
Publisher :
ISBN 13 :
Total Pages : 27 pages
Book Rating : 4.:/5 (25 download)
Download or read book On the Empirical Bayes Approach to Multiple Decision Problems written by John Van Ryzin and published by . This book was released on 1975 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper presents general inequalities and theorems for the empirical Bayes multiple decision problem with particular applications to a classification problem and a linear-loss monotone multiple decision problem.
Author : Rohana Talagalage
Publisher :
ISBN 13 :
Total Pages : 202 pages
Book Rating : 4.:/5 (314 download)
Download or read book Some Contributions to Empirical Bayes Methods in Statistical Decision Theory written by Rohana Talagalage and published by . This book was released on 1993 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jayanta K. Ghosh
Publisher : Springer Science & Business Media
ISBN 13 : 0387354336
Total Pages : 356 pages
Book Rating : 4.3/5 (873 download)
Download or read book An Introduction to Bayesian Analysis written by Jayanta K. Ghosh and published by Springer Science & Business Media. This book was released on 2007-07-03 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a graduate-level textbook on Bayesian analysis blending modern Bayesian theory, methods, and applications. Starting from basic statistics, undergraduate calculus and linear algebra, ideas of both subjective and objective Bayesian analysis are developed to a level where real-life data can be analyzed using the current techniques of statistical computing. Advances in both low-dimensional and high-dimensional problems are covered, as well as important topics such as empirical Bayes and hierarchical Bayes methods and Markov chain Monte Carlo (MCMC) techniques. Many topics are at the cutting edge of statistical research. Solutions to common inference problems appear throughout the text along with discussion of what prior to choose. There is a discussion of elicitation of a subjective prior as well as the motivation, applicability, and limitations of objective priors. By way of important applications the book presents microarrays, nonparametric regression via wavelets as well as DMA mixtures of normals, and spatial analysis with illustrations using simulated and real data. Theoretical topics at the cutting edge include high-dimensional model selection and Intrinsic Bayes Factors, which the authors have successfully applied to geological mapping. The style is informal but clear. Asymptotics is used to supplement simulation or understand some aspects of the posterior.
Author : Christian Robert
Publisher : Springer Science & Business Media
ISBN 13 : 0387715983
Total Pages : 620 pages
Book Rating : 4.3/5 (877 download)
Download or read book The Bayesian Choice written by Christian Robert and published by Springer Science & Business Media. This book was released on 2007-08-27 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introduction to Bayesian statistics and decision theory, including advanced topics such as Monte Carlo methods. This new edition contains several revised chapters and a new chapter on model choice.
Author : Pekka Laippala
Publisher :
ISBN 13 :
Total Pages : 92 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Empirical Bayes Two-action Rules with Floating Optimal Sample Size and Exponential Conditional Distributions written by Pekka Laippala and published by . This book was released on 1980 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Herbert Robbins
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (232 download)
Download or read book An Empirical Bayes Approach to Statistics written by Herbert Robbins and published by . This book was released on 1956 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Christian P. Robert
Publisher : Springer Science & Business Media
ISBN 13 : 1475743149
Total Pages : 444 pages
Book Rating : 4.4/5 (757 download)
Download or read book The Bayesian Choice written by Christian P. Robert and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level textbook covers both the basic ideas of statistical theory, and also some of the more modern and advanced topics of Bayesian statistics, such as complete class theorems, the Stein effect, hierarchical and empirical Bayes modelling, Monte Carlo integration, and Gibbs sampling. In translating the book from the original French, the author has taken the opportunity to add and update material, and to include many problems and exercises for students.
Author : Samuel Kotz
Publisher : Springer Science & Business Media
ISBN 13 : 1461206677
Total Pages : 576 pages
Book Rating : 4.4/5 (612 download)
Download or read book Breakthroughs in Statistics written by Samuel Kotz and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume III includes more selections of articles that have initiated fundamental changes in statistical methodology. It contains articles published before 1980 that were overlooked in the previous two volumes plus articles from the 1980's - all of them chosen after consulting many of today's leading statisticians.
Author : Bruce W. Morgan
Publisher :
ISBN 13 :
Total Pages : 140 pages
Book Rating : 4.3/5 (91 download)
Download or read book An Introduction to Bayesian Statistical Decision Processes written by Bruce W. Morgan and published by . This book was released on 1968 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Francisco J. Samaniego
Publisher : Springer Science & Business Media
ISBN 13 : 1441959416
Total Pages : 235 pages
Book Rating : 4.4/5 (419 download)
Download or read book A Comparison of the Bayesian and Frequentist Approaches to Estimation written by Francisco J. Samaniego and published by Springer Science & Business Media. This book was released on 2010-06-14 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main theme of this monograph is “comparative statistical inference. ” While the topics covered have been carefully selected (they are, for example, restricted to pr- lems of statistical estimation), my aim is to provide ideas and examples which will assist a statistician, or a statistical practitioner, in comparing the performance one can expect from using either Bayesian or classical (aka, frequentist) solutions in - timation problems. Before investing the hours it will take to read this monograph, one might well want to know what sets it apart from other treatises on comparative inference. The two books that are closest to the present work are the well-known tomes by Barnett (1999) and Cox (2006). These books do indeed consider the c- ceptual and methodological differences between Bayesian and frequentist methods. What is largely absent from them, however, are answers to the question: “which - proach should one use in a given problem?” It is this latter issue that this monograph is intended to investigate. There are many books on Bayesian inference, including, for example, the widely used texts by Carlin and Louis (2008) and Gelman, Carlin, Stern and Rubin (2004). These books differ from the present work in that they begin with the premise that a Bayesian treatment is called for and then provide guidance on how a Bayesian an- ysis should be executed. Similarly, there are many books written from a classical perspective.
