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Author : Michael Kelly Mara
Publisher :
ISBN 13 :
Total Pages : 364 pages
Book Rating : 4.:/5 (233 download)
Download or read book Rates of Convergence in Empirical Bayes Decision Problems written by Michael Kelly Mara and published by . This book was released on 1975 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : William Olin Williford
Publisher :
ISBN 13 :
Total Pages : 252 pages
Book Rating : 4.:/5 (49 download)
Download or read book Rates of Convergence in the Parametric Empirical Bayes Decision Problem written by William Olin Williford and published by . This book was released on 1967 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mae Mulherin Davis
Publisher :
ISBN 13 :
Total Pages : 118 pages
Book Rating : 4.:/5 (175 download)
Download or read book Bounds and Rates of Convergence for the Empirical Bayes Decision Problem written by Mae Mulherin Davis and published by . This book was released on 1970 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Benito Ong Yu
Publisher :
ISBN 13 :
Total Pages : 160 pages
Book Rating : 4.3/5 (129 download)
Download or read book Rates of Convergence in Empirical Bayes Two-action and Estimation Problems and in Extended Sequence-compound Estimation Problems written by Benito Ong Yu and published by . This book was released on 1970 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : STANFORD UNIV CALIF DEPT OF STATISTICS.
Publisher :
ISBN 13 :
Total Pages : 41 pages
Book Rating : 4.:/5 (123 download)
Download or read book Convergence Rates for Empirical Bayes Two-action Problems I. Discrete Case written by STANFORD UNIV CALIF DEPT OF STATISTICS. and published by . This book was released on 1967 with total page 41 pages. Available in PDF, EPUB and Kindle. Book excerpt: A sequence of decision problems is considered where for each problem the observation has discrete probability function of the form p(x) = h(x) beta (lambda) lambda to the power x, x = 0,1,2, ..., and where lambda is selected independently for each problem according to an unknown prior distribution G(lambda). It is supposed that for each problem one of two possible actions (e.g., 'accept' or 'reject') must be selected. Under various assumptions about h(x) and G(lambda) the rate at which the risk of the nth problem approaches the smallest possible risk is determined for standard empirical Bayes procedures. It is shown that for most practical situations, the rate of convergence to 'optimality' will be at least as fast as L(n)/n where L(n) is a slowly varying function (e.g., log n). The rate cannot be faster than 1/n and this exact rate is achieved in some cases. Arbitrarily slow rates will occur in certain pathological situations. (Author).
Author : STANFORD UNIV CALIF DEPT OF STATISTICS.
Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.:/5 (123 download)
Download or read book Convergence Rates for Empirical Bayes Two-action Problems II, Continuous Case written by STANFORD UNIV CALIF DEPT OF STATISTICS. and published by . This book was released on 1967 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: A sequence of decision problems is considered where for each problem the observation has a probability density function of exponential type with parameter lambda where lambda is selected independently for each problem according to an unknown prior distribution G(lambda). It is supposed that in each of the problems, one of two possible actions (e.g., 'accept' or 'reject') must be taken. Under various assumptions, reasonably sharp upper bounds are found for the rate at which the risk of the nth problem approaches the smallest possible risk for certain refinements of the standard empirical Bayes procedures. For suitably chosen procedures, under situations likely to occur in practice, rates faster than n to the power ( -1 + epsilon) may be obtained for arbitrarily small epsilon> 0. Arbitrarily slow rates can occur in pathological situations. (Author).
Author : Ta Chen Liang
Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.:/5 (227 download)
Download or read book On the Convergence Rates of Empirical Bayes Rules for Two-Action Problems. Discrete Case written by Ta Chen Liang and published by . This book was released on 1987 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this paper is to investigate the convergence rates of a sequence of empirical Bayes decision rules for the two-action decision problems where the distributions of the observations belong to a discrete exponential family. It is found that the sequence of the empirical Bayes decision rules under study is asymptotically optimal, and the order of associated convergence rates is O(exp( -cn)), for some positive constant c, where n is the number of accumulated past experience (observations) at hand. Two examples are provided to illustrate the performance of the proposed empirical Bayes decision rules. A comparison is also made between the proposed empirical Bayes rules and some earlier existng empirical Bayes rules.
Author : TaChen Liang
Publisher :
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4.:/5 (897 download)
Download or read book Rates of Convergence for Empirical Bayes Two-action Problems: Discrete Case written by TaChen Liang and published by . This book was released on 1991 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Donald D. Swain
Publisher :
ISBN 13 :
Total Pages : 224 pages
Book Rating : 4.F/5 ( download)
Download or read book Bounds and Rates of Convergence for the Extended Compound Estimation Problem in the Sequence Case written by Donald D. Swain and published by . This book was released on 1965 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : M. V. Johns (Jr.)
Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.:/5 (853 download)
Download or read book Convergence Rates for Empirical Bayes Two-action Problems written by M. V. Johns (Jr.) and published by . This book was released on 1967 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Richard John Fox
Publisher :
ISBN 13 :
Total Pages : 188 pages
Book Rating : 4.3/5 (129 download)
Download or read book Contributions to Compound Decision Theory and Empirical Bayes Squared Error Loss Estimation written by Richard John Fox and published by . This book was released on 1968 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J.S. Maritz
Publisher : CRC Press
ISBN 13 : 1351080113
Total Pages : 296 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 296 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 : Inna Jung
Publisher :
ISBN 13 :
Total Pages : 110 pages
Book Rating : 4.3/5 (129 download)
Download or read book Parametric Empirical Bayes Problems with Cost for Component Observations written by Inna Jung and published by . This book was released on 1988 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 574 pages
Book Rating : 4.3/5 (91 download)
Download or read book NBS Special Publication written by and published by . This book was released on 1970 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Thomas Eugene O'Bryan
Publisher :
ISBN 13 :
Total Pages : 126 pages
Book Rating : 4.3/5 (129 download)
Download or read book Empirical Bayes Results in the Case of Non-identical Components written by Thomas Eugene O'Bryan and published by . This book was released on 1972 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. S. Maritz
Publisher : Routledge
ISBN 13 : 1351140639
Total Pages : 299 pages
Book Rating : 4.3/5 (511 download)
Download or read book Empirical Bayes Methods written by J. S. Maritz and published by Routledge. This book was released on 2018-03-05 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1970; with a second edition in 1989. Empirical Bayes methods use some of the apparatus of the pure Bayes approach, but an actual prior distribution is assumed to generate the data sequence. It can be estimated thus producing empirical Bayes estimates or decision rules. In this second edition, 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. Chapters also focus on alternatives to the empirical Bayes approach and actual applications of empirical Bayes methods.
Author : N. Balakrishnan
Publisher : CRC Press
ISBN 13 : 9780203493205
Total Pages : 562 pages
Book Rating : 4.4/5 (932 download)
Download or read book Advances on Theoretical and Methodological Aspects of Probability and Statistics written by N. Balakrishnan and published by CRC Press. This book was released on 2003-04-24 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the International Indian Statistical Association Conference, held at McMaster University in Ontario, Canada, participants focused on advancements in theory and methodology of probability and statistics. This is one of two volumes containing invited papers from the meeting. The 32 chapters deal with different topics of interest, including stochastic processes and inference, distributions and characterizations, inference, Bayesian inference, selection methods, regression methods, and methods in health research. The text is ideal for applied mathematicians, statisticians, and researchers in the field.
