Empirical Bayes Rules For Selecting Good Binomial Populations PDF Download
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| Author | : S. S. Gupta |
| Publisher | : |
| Total Pages | : 32 |
| Release | : 1984 |
| Genre | : |
| ISBN | : |
Download Empirical Bayes Rules for Selecting Good Binomial Populations Book in PDF, ePub and Kindle
This paper deals with the problem of selecting good binomial populations compared with a standard or a control through the empirical Bayes approach. Two cases have been studied: one is that the prior distribution is completely unknown and the other is that the prior distribution is symmetrical about p = 1/2, but its form is still unknown. In each case, empirical Bayes rules are derived and the rate of convergence of corresponding empirical Bayes rules is also studied.
| Author | : Shanti S. Gupta |
| Publisher | : |
| Total Pages | : 24 |
| Release | : 1985 |
| Genre | : |
| ISBN | : |
Download Empirical Bayes Rules for Selecting Good Binomial Populations. Revision Book in PDF, ePub and Kindle
This paper deals with the problem of selecting good binomial populations compared with a standard or a control through the empirical Bayes approach. Two cases have been studied: one with the pior distribution completely unknown and the other with the prior distribution symmetrical about p = 1/2, but otherwise unknown. In each case, empirical Bayes rules are derived and their rates of convergence are shown to be of order O(exp( -cn)) for some c>O, where n is the number of accumulated post experiences at hand. Keywords: Statistical decision theory; Smoothing(Mathematics); Asymptotically optimal. (Author).
| Author | : S. S. Gupta |
| Publisher | : |
| Total Pages | : 29 |
| Release | : 1984 |
| Genre | : |
| ISBN | : |
Download Empirical Bayes Rulesfor Selecting Good Binomial Populations Book in PDF, ePub and Kindle
| Author | : Shanti S. Gupta |
| Publisher | : |
| Total Pages | : 24 |
| Release | : 1986 |
| Genre | : |
| ISBN | : |
Download Empirical Bayes Rules for Selecting the Best Binomial Population Book in PDF, ePub and Kindle
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.
| Author | : Shanti S. Gupta |
| Publisher | : |
| Total Pages | : 30 |
| Release | : 1988 |
| Genre | : |
| ISBN | : |
Download On Empirical Bayes Selection Rules for Negative Binomial Populations Book in PDF, ePub and Kindle
This paper deals with the problem of selecting good negative binomial populations as compared with a standard or a control. The main results are based on the use of the empirical Bayes approach. First the authors derive the monotone empirical Bayes estimators of the concerned parameters. Based on these estimators, they construct monotone empirical Bayes selection rules. Asymptotic optimality properties of the monotone empirical Bayes estimators and the monotone empirical Bayes selection rules are investigated. The respective convergence rates for the estimation problem and for the selection problem are studied, under some conditions. (KR).
| Author | : Shanti S. Gupta |
| Publisher | : |
| Total Pages | : 21 |
| Release | : 1988 |
| Genre | : |
| ISBN | : |
Download Selecting the Best Binomial Population: Parametric Empirical Bayes Approach Book in PDF, ePub and Kindle
Consider k populations pi(1), ..., pi(k), where an observation from population pi(i) has a binomial distribution with parameters N and p sub i (unknown). Let p/k/ = max over 1
| Author | : Shanti S. Gupta |
| Publisher | : |
| Total Pages | : 25 |
| Release | : 1983 |
| Genre | : |
| ISBN | : |
Download On Bayes and Empirical Bayes Rules for Selecting Good Populations Book in PDF, ePub and Kindle
This paper deals with the problems of selecting all populations which are close to a control or standard. A general Bayes rule for the above problem is derived. Empirical Bayes rules are derived when the populations are assumed to be uniformly distributed. Under some conditions on the marginal and prior distributions, the rate of convergence of the empirical Bayes risk to the minimum Bayes risk is investigated. (Author).
| Author | : Shanti Swarup Gupta |
| Publisher | : |
| Total Pages | : 21 |
| Release | : 1981 |
| Genre | : Bayesian statistical decision theory |
| ISBN | : |
Download Empirical Bayes Rules for Selecting Good Populations Book in PDF, ePub and Kindle
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).
| Author | : Prem K. Goel |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 409 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461229448 |
Download Bayesian Analysis in Statistics and Econometrics Book in PDF, ePub and Kindle
This volume is based on the invited and the contributed presentations given at the Indo-U.S. Workshop on Bayesian Analysis in Statistics and Econometrics (BASE), Dec. 19-23, 1988, held at the Hotel Taj Residency, Bangalore, India. The workshop was jointly sponsored by The Ohio State University, The Indian Statistical Institute, The Indian Econometrics So ciety, U.S. National Science Foundation and the NSF-NBER Seminar on Bayesian Inference in Econometrics. Profs. Morrie DeGroot, Prem Goel, and Arnold Zellner were the program organizers. Unfortunately, Morrie became seriously ill just before the workshop was to start and could not participate in the workshop. Almost a year later, Morrie passed away after fighting valiantly with the illness. Not to find Morrie among ourselves was a shock for most of us. He was a continuous source of inspiration and ideas. Even while Morrie was fighting for his life, we had a lot of discussions about the contents of this volume and the Bangalore Workshop. He even talked about organizing a Second Indo-U.S. workshop some time in the near future. We are dedicating this volume to the memory of Prof. Morris H. DeGroot. We have taken a conscious decision not to include any biography of Morrie in this volume. An excellent biography of Morrie has appeared in Statistical Science [(1991), vol. 6, 1-14], and we could not have done a better job than that.
| Author | : R. Viertl |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 505 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461318858 |
Download Probability and Bayesian Statistics Book in PDF, ePub and Kindle
This book contains selected and refereed contributions to the "Inter national Symposium on Probability and Bayesian Statistics" which was orga nized to celebrate the 80th birthday of Professor Bruno de Finetti at his birthplace Innsbruck in Austria. Since Professor de Finetti died in 1985 the symposium was dedicated to the memory of Bruno de Finetti and took place at Igls near Innsbruck from 23 to 26 September 1986. Some of the pa pers are published especially by the relationship to Bruno de Finetti's scientific work. The evolution of stochastics shows growing importance of probability as coherent assessment of numerical values as degrees of believe in certain events. This is the basis for Bayesian inference in the sense of modern statistics. The contributions in this volume cover a broad spectrum ranging from foundations of probability across psychological aspects of formulating sub jective probability statements, abstract measure theoretical considerations, contributions to theoretical statistics and stochastic processes, to real applications in economics, reliability and hydrology. Also the question is raised if it is necessary to develop new techniques to model and analyze fuzzy observations in samples. The articles are arranged in alphabetical order according to the family name of the first author of each paper to avoid a hierarchical ordering of importance of the different topics. Readers interested in special topics can use the index at the end of the book as guide.
