Exact Bayesian variable sampling plans for the exponential distribution based on Type-I and Type-II hybrid censored samples

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Title:	Exact Bayesian variable sampling plans for the exponential distribution based on Type-I and Type-II hybrid censored samples
Authors:	林千代;Lin, Chien-tai;Huang, Yen-lung;Balakrishnan, N.
Contributors:	淡江大學數學學系
Keywords:	Bayes risk;Efficiency;Exponential distribution;Hybrid censoring;Maximum likelihood estimates;Polynomial loss function;Robustness;Sampling plan
Date:	2008-06
Issue Date:	2010-08-10 10:13:36 (UTC+8)
Publisher:	Taylor & Francis
Abstract:	A sampling plan with a polynomial loss function for the exponential distribution is considered. From the distribution of the maximum likelihood estimator of the mean of an exponential distribution based on Type-I and Type-II hybrid censored samples, we obtain an explicit expression for the Bayes risk of a sampling plan with a quadratic loss function. Some numerical examples and comparisons are given to illustrate the effectiveness of the proposed method, and a robustness study reveals that the proposed optimal sampling plans are quite robust.
Relation:	Communications in Statistics: Simulation and Computation 37(6), pp.1101-1116
DOI:	10.1080/03610910801923869
Appears in Collections:	[Graduate Institute & Department of Mathematics] Journal Article

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