The Multiple Monotone Empirical Bayes Rules with Floating Optimal Sample Size

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Publisher :
ISBN 13 : 9789516421998
Total Pages : pages
Book Rating : 4.4/5 (219 download)

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Book Synopsis The Multiple Monotone Empirical Bayes Rules with Floating Optimal Sample Size by : Pekka Laippala

Download or read book The Multiple Monotone Empirical Bayes Rules with Floating Optimal Sample Size written by Pekka Laippala and published by . This book was released on 1982 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Empirical Bayes Two-action Rules with Floating Optimal Sample Size and Exponential Conditional Distributions

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Publisher :
ISBN 13 :
Total Pages : 92 pages
Book Rating : 4.3/5 (91 download)

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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:

Optimal Rate of Convergence of Monotone Empirical Bayes Tests for a Normal Mean

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ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Optimal Rate of Convergence of Monotone Empirical Bayes Tests for a Normal Mean by :

Download or read book Optimal Rate of Convergence of Monotone Empirical Bayes Tests for a Normal Mean written by and published by . This book was released on 2001 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper studies monotone empirical Bayes tests for a normal mean under a linear loss. The optimal rate of convergence of the monotone empirical Bayes tests is obtained. Applying a few techniques and using the non-uniform estimate of the remainder in the central limit theorem, we are able to construct a monotone empirical Bayes test and show that it achieves the best possible rate over a broad class of prior distributions, while the best possible rate is obtained through an idea of Donoho and Liu by constructing the "hardest two-point subproblem". This answers the question raised recently by Karunamuni and Liang. The result indicates that n(exp -1) may not be an attainable lower bound for the monotone empirical Bayes tests in the continuous one- parameter exponential family. A method to construct the monotone empirical Bayes test achieving the optimal rate is also discussed in this paper.

Parametric Empirical Bayes Problems with Cost for Component Observations

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Publisher :
ISBN 13 :
Total Pages : 110 pages
Book Rating : 4.3/5 (129 download)

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Book Synopsis Parametric Empirical Bayes Problems with Cost for Component Observations by : Inna Jung

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:

Empirical Bayes Methods with Applications

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Publisher : CRC Press
ISBN 13 : 1351080113
Total Pages : 296 pages
Book Rating : 4.3/5 (51 download)

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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.

Empirical Bayes Rules for Selecting the Best Binomial Population

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ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Empirical Bayes Rules for Selecting the Best Binomial Population by : Shanti S. Gupta

Download or read book Empirical Bayes Rules for Selecting the Best Binomial Population written by Shanti S. Gupta and published by . This book was released on 1986 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some selection rules based on monotone empirical Bayes estimators of the binomial parameters are proposed. First, it is shown that, under the squared error loss, the Bayes risks of the proposed monotone empirical Bayes estimators converge to the related minimum Bayes risks with rates of convergence at least of order 0(nsub -n), where n is the number of accumulated past experiences at hand. Further, for the selection problem, the rates of convergence of the proposed selection rules are shown to be at least of order 0(exp( -cn)) for some c> 0. Keywords: Asymptotically optimal.

Optimal Rate of Empirical Bayes Tests for Lower Truncation Parameters

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ISBN 13 :
Total Pages : 15 pages
Book Rating : 4.:/5 (946 download)

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Book Synopsis Optimal Rate of Empirical Bayes Tests for Lower Truncation Parameters by :

Download or read book Optimal Rate of Empirical Bayes Tests for Lower Truncation Parameters written by and published by . This book was released on 2000 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: The distributions with lower truncation parameters are important models in statistics and have been studied in recent years. In this paper, we consider the one-sided testing problem for lower truncation parameters through the empirical Bayes approach. The optimal rate of the monotone empirical Bayes tests is obtained and a monotone empirical Bayes test delta sub n in achieving the optimal rate is constructed. It is shown that delta sub n has good performance for both small samples and large samples.

Statistical Theory and Method Abstracts

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Publisher :
ISBN 13 :
Total Pages : 1050 pages
Book Rating : 4.:/5 (4 download)

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Book Synopsis Statistical Theory and Method Abstracts by :

Download or read book Statistical Theory and Method Abstracts written by and published by . This book was released on 1986 with total page 1050 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Empirical Bayes Methods

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Publisher :
ISBN 13 :
Total Pages : 176 pages
Book Rating : 4.F/5 ( download)

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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 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Empirical Bayes Rules for Selecting Good Populations

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Publisher :
ISBN 13 :
Total Pages : 21 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Empirical Bayes Rules for Selecting Good Populations by : Shanti Swarup Gupta

Download or read book Empirical Bayes Rules for Selecting Good Populations written by Shanti Swarup Gupta and published by . This book was released on 1981 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: A problem of selecting populations better than a control is considered. When the populations are uniformly distributed, empirical Bayes rules are derived for a linear loss function for both the known control parameter and the unknown control parameter cases. When the priors are assumed to have bounded supports, empirical Bayes rules for selecting good populations are derived for distributions with truncation parameters (i.e. the form of the pdf is f(x/theta) = Pi(x)ci(theta)I(O, theta)(x)). Monte Carlo studies are carried out which determine the minimum sample sizes needed to make the relative errors less than epsilon for given epsilon-values. (Author).

Monotone Empirical Bayes Tests for Uniform Distributions

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Publisher :
ISBN 13 :
Total Pages : 7 pages
Book Rating : 4.:/5 (897 download)

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Book Synopsis Monotone Empirical Bayes Tests for Uniform Distributions by : J. C. van Houwelingen

Download or read book Monotone Empirical Bayes Tests for Uniform Distributions written by J. C. van Houwelingen and published by . This book was released on 1984 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt:

On the Convergence Rates of a Monotone Empirical Bayes Test for Uniform Distribtions

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Publisher :
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4.:/5 (897 download)

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Book Synopsis On the Convergence Rates of a Monotone Empirical Bayes Test for Uniform Distribtions by : T. Liang

Download or read book On the Convergence Rates of a Monotone Empirical Bayes Test for Uniform Distribtions written by T. Liang and published by . This book was released on 1988 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Statistics Subject Indexes from Mathematical Reviews

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ISBN 13 :
Total Pages : 540 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Statistics Subject Indexes from Mathematical Reviews by : American Mathematical Society

Download or read book Statistics Subject Indexes from Mathematical Reviews written by American Mathematical Society and published by . This book was released on 1987 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt:

On the Empirical Bayes Approach to Multiple Decision Problems

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ISBN 13 :
Total Pages : 27 pages
Book Rating : 4.:/5 (25 download)

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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.

Mathematical Reviews

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Publisher : American Mathematical Society(RI)
ISBN 13 :
Total Pages : 780 pages
Book Rating : 4.X/5 (2 download)

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Book Synopsis Mathematical Reviews by : American Mathematical Society

Download or read book Mathematical Reviews written by American Mathematical Society and published by American Mathematical Society(RI). This book was released on 1986-12 with total page 780 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Current Index to Statistics, Applications, Methods and Theory

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Publisher :
ISBN 13 :
Total Pages : 878 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Current Index to Statistics, Applications, Methods and Theory by :

Download or read book Current Index to Statistics, Applications, Methods and Theory written by and published by . This book was released on 1985 with total page 878 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Current Index to Statistics (CIS) is a bibliographic index of publications in statistics, probability, and related fields.

Index of Mathematical Papers

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ISBN 13 :
Total Pages : 1244 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Index of Mathematical Papers by :

Download or read book Index of Mathematical Papers written by and published by . This book was released on 1985 with total page 1244 pages. Available in PDF, EPUB and Kindle. Book excerpt: