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Optimal Rate Of Empirical Bayes Tests For Lower Truncation Parameters
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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 0 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.
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.
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 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.
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 Large-Scale Inference by : Bradley Efron
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.
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:
Book Synopsis Empirical Bayes with Rates and Best Rates of Convergence in U(x)C(theta) Exp ( -x by : University of Guelph. Dept. of Mathematics and Statistics
Download or read book Empirical Bayes with Rates and Best Rates of Convergence in U(x)C(theta) Exp ( -x written by University of Guelph. Dept. of Mathematics and Statistics and published by . This book was released on 1989 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Empirical Bayes with Rates and Best Rates of Convergence in U(x)C(theta) Exp ( -x by : University of Guelph. Dept. of Mathematics and Statistics
Download or read book Empirical Bayes with Rates and Best Rates of Convergence in U(x)C(theta) Exp ( -x written by University of Guelph. Dept. of Mathematics and Statistics and published by . This book was released on 1989 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Empirical Bayes Tests With N(-1+Epsilon) Convergence Rate in Continuous One-Parameter Exponential Family by :
Download or read book Empirical Bayes Tests With N(-1+Epsilon) Convergence Rate in Continuous One-Parameter Exponential Family written by and published by . This book was released on 1999 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Sample Size Calculation and Empirical Bayes Tests for Microarray Data by : Peng Liu
Download or read book Sample Size Calculation and Empirical Bayes Tests for Microarray Data written by Peng Liu and published by . This book was released on 2006 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Accurate Empirical Bayes Interval Estimation by : Bradley P. Carlin
Download or read book Accurate Empirical Bayes Interval Estimation written by Bradley P. Carlin and published by . This book was released on 1989 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Empirical Bayes Estimation With Kernel Sequence Method by :
Download or read book Empirical Bayes Estimation With Kernel Sequence Method written by and published by . This book was released on 2001 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we consider the empirical Bayes estimation in the exponential family. A minimax lower bound is derived. It is shown that the best possible rate of empirical Bayes estimators is O(1/n) if Theta is bounded. Then we turn to find an empirical Bayes estimator with a rate close to this lower bound rate. Applying the kernel sequence method, we are able to construct an empirical Bayes estimator with a rate of O(1/n(1n n)7(1n 1n n)2). Under the same assumption, this rate is the fastest compared to the earlier results published in the literature.
Book Synopsis Simultaneous Inference, and Ranking Selection Procedure: Bayes and Empirical Bayes Approach by :
Download or read book Simultaneous Inference, and Ranking Selection Procedure: Bayes and Empirical Bayes Approach written by and published by . This book was released on 2001 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The research on simultaneous inference and ranking and selection procedures is important and relevant in comparing several populations (products, alternatives) in terms of their intrinsic quality or worth. This report embodies the research accomplishments in this broad area. The main contributions deal with newly developed ranking, selection and testing procedures based on Bayes and empirical Bayes approach. During the period April 1995 to September 2000, twenty-five research papers were completed by the PI and collaborators. Of these fifteen have been published and or accepted for publication in refereed journals and refereed conference proceedings volumes. The problems studied deal with a wide range of statistical models such as normal, Bernoulli, Poisson, and logistic distributions. In other papers, the statistical models are quite general in that the distributions are not specified but may belong to a broad family such as the positive or the general exponential family of distributions. One may want to know how good the empirical Bayes procedures are. This question is answered in terms of the convergence rate of the regret risk associated with empirical Bayes procedures. In general, it is found that the rate is optimal or very close to the optimal, where the optimal rate is the best achievable rate under certain conditions.
Download or read book 应用数学 written by and published by . This book was released on 2006 with total page 924 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Contributed Papers by : International Statistical Institute. Session
Download or read book Contributed Papers written by International Statistical Institute. Session and published by . This book was released on 2001 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Dissertation Abstracts International by :
Download or read book Dissertation Abstracts International written by and published by . This book was released on 2002 with total page 734 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1608 pages. Available in PDF, EPUB and Kindle. Book excerpt:
