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Estimation for the Generalized Linear Exponential Distribution Based on Type-II Hybrid Censored Data |
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PP: 397-413 |
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doi:10.18576/jsap/100211
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Author(s) |
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M. A. W. Mahmoud,
N. M. Yhiea,
SH. M. EL-SAID,
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Abstract |
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A hybrid censoring scheme is a mixture of Type-I and Type-II censoring schemes, is quite common in life-testing. In this paper,we study the problem of point and interval estimations for the generalized linear exponential distribution (GLED) using type- II hybrid censored sample.The maximum likelihood (ML) and Bayes methods are utilized for estimating the unknown parameters as well as some lifetime parameters (reliability, hazard function and reversed hazard function). Also, we apply Markov chain Monte Carlo (MCMC) technique and Lindely’s approximation technique to carry out a Bayesian estimation. Bayes estimates and the credible intervals are obtained under the assumptions of informative and non informative priors. Different methods have been compared using Monte Carlo simulations. Real data set has been studied for illustrative purpose.
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