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This paper is concerned with the problem of simultaneous testing for n-component decisions. Under the specific statistical model, the n components share certain similarity. Thus, empirical Bayes approach is employed. We give a general formulation of this empirical Bayes decision problem with a specialization to the problem of selecting good Poissonâ€¦ (More)

This paper deals with the problem of selecting the population associated with the largest unknown mean from several normal populations having a common unknown coefficient of variation. Both subset selection and indifference zone approaches are studied. Based on the observed sample means and sample standard deviations, a subset selecAccession For tion ruleâ€¦ (More)

This paper deals with the problem of estimating the binomial parameter via the nonparametric empirical Bayes approach. This estimation problem has some surprising phenomenon that estimators which are asymptotically optimal in the usual empirical Bayes sense do not exist (Robbins (1956, 1964)). However, as pointed out by Liang (1984) and Gupta and Liangâ€¦ (More)

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 ofâ€¦ (More)

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 we derive the monotone empirical Bayes estimators of the concerned parameters. Based on these estimators, we construct monotone empirical Bayes selectionâ€¦ (More)

- Tachen Liang, Wen-Tao Huang, Kun-Cheng Yang
- Computational Statistics & Data Analysis
- 2008

This article studies a locally optimal test Ï† for testing H0 : Î¸ â‰¥ Î¸0 versus H1 : Î¸ < Î¸0 for the lifetime parameter Î¸ in an exponential distribution based on type-I censored data. Certain properties associated with Ï† are addressed. We compare the performance of Ï† with that of Spurrier and Weiâ€™s [Spurrier, J.D., Wei, L.J., 1980. A test of the parameter ofâ€¦ (More)

- Tachen Liang
- 2006

This paper deals with a monotone empirical Bayes test Î´âˆ— n for a truncation parameter distribution using the linex loss. The asymptotic optimality of Î´âˆ— n is investigated. Under very mild conditions, it is shown that Î´âˆ— n is asymptotically optimal with a rate of order n. This rate improves the empirical Bayes test Î´ n of Xu and Shi (2004) in the sense thatâ€¦ (More)

- Tachen Liang, Wen-Tao Huang
- Communications in Statistics - Simulation andâ€¦
- 2009

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