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Bayes estimation of Moran–Downton bivariate exponential distribution based on censored samples
Authors:Yu-Jau Lin  Y L Lio
Institution:1. Department of Applied Mathematics , Chung-Yuan Christian University , Chung Li , Taiwan , 32023 , Republic of China;2. Department of Mathematical Sciences , University of South Dakota , Vermillion , SD , 57069 , USA
Abstract:In this paper, we discuss a Bayesian estimation procedure for the parameters in a Moran–Downton bivariate exponential distribution based on complete and censored samples. A Markov-chain Monte Carlo method is used to obtain the Bayes estimates of the parameters. An intensive simulation experiment is conducted to study the performance of the proposed Bayesian estimation procedure. Discussions and suggestions are provided based on the simulation results. A numerical example is presented to illustrate the Bayesian estimation procedure developed here and some concluding remarks are provided.
Keywords:gamma distribution  beta distribution  Markov-chain Monte Carlo  order statistics  Type-II censoring
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