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On The Empirical Bayes Approach To Multiple Decision Problems
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Book Synopsis On the Empirical Bayes Approach to Multiple Decision Problems by : John Van Ryzin
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.
Book Synopsis Multiple Decision Procedures from an Empirical Bayes Approach by : John J. Deely
Download or read book Multiple Decision Procedures from an Empirical Bayes Approach written by John J. Deely and published by . This book was released on 1965 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Improved Rates in the Empirical Bayes Monotone Multiple Decision Problem with MLR Family by : Dennis Crippen Gilliland
Download or read book Improved Rates in the Empirical Bayes Monotone Multiple Decision Problem with MLR Family written by Dennis Crippen Gilliland and published by . This book was released on 1976 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Empirical Bayes Methods with Applications by : J.S. Maritz
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.
Book Synopsis An Introduction to the Empirical Bayes Approach to Statistical Decision Problems by : J. N. van Niekerk
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:
Book Synopsis Empirical Bayes with Sequential Components by : Rohana Jith Karunamuni
Download or read book Empirical Bayes with Sequential Components written by Rohana Jith Karunamuni and published by . This book was released on 1985 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Two Sample Nonparametric Empirical Bayes Approach to Some Problems in Decision Theory by : Richard G. Krutchkoff
Download or read book A Two Sample Nonparametric Empirical Bayes Approach to Some Problems in Decision Theory written by Richard G. Krutchkoff and published by . This book was released on 1964 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Empirical Bayes Two-action Rules with Floating Optimal Sample Size and Exponential Conditional Distributions by : Pekka Laippala
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:
Book Synopsis A Mixture Model Approach to Empirical Bayes Testing and Estimation by : Omkar Muralidharan
Download or read book A Mixture Model Approach to Empirical Bayes Testing and Estimation written by Omkar Muralidharan and published by Stanford University. This book was released on 2011 with total page 89 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many modern statistical problems require making similar decisions or estimates for many different entities. For example, we may ask whether each of 10,000 genes is associated with some disease, or try to measure the degree to which each is associated with the disease. As in this example, the entities can often be divided into a vast majority of "null" objects and a small minority of interesting ones. Empirical Bayes is a useful technique for such situations, but finding the right empirical Bayes method for each problem can be difficult. Mixture models, however, provide an easy and effective way to apply empirical Bayes. This thesis motivates mixture models by analyzing a simple high-dimensional problem, and shows their practical use by applying them to detecting single nucleotide polymorphisms.
Book Synopsis Empirical Bayes Methods by : J. S. Maritz
Download or read book Empirical Bayes Methods written by J. S. Maritz and published by . This book was released on 1970 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Bayes and empirical Bayes methods; Estimation of the prior distribution; Empirical Bayes point estimation; Testing of hypotheses; Two-parameter problems; The compound decision problem and EB methods.
Book Synopsis The Empirical Bayes Problem by : Gerald C. Kozub
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.
Book Synopsis On the Convergence Rates of Empirical Bayes Rules for Two-Action Problems. Discrete Case by : Ta Chen Liang
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.
Book Synopsis Convergence Rates for Empirical Bayes Two-action Problems II, Continuous Case by : STANFORD UNIV CALIF DEPT OF STATISTICS.
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).
Book Synopsis Rates of Convergence in Empirical Bayes Two-action and Estimation Problems and in Extended Sequence-compound Estimation Problems by : Benito Ong Yu
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:
Book Synopsis Rates of Convergence in Empirical Bayes Decision Problems by : Michael Kelly Mara
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:
Book Synopsis Multiple Decision Procedures by : Shanti S. Gupta
Download or read book Multiple Decision Procedures written by Shanti S. Gupta and published by SIAM. This book was released on 2002-01-01 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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:
