Reliability estimations of generalized exponential distribution under entropy loss function

被引:0
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作者
Yan, Wei-An [1 ]
Shi, Yi-Min [1 ]
Sun, Tian-Yu [1 ]
Wang, Liang [1 ]
机构
[1] Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, China
关键词
Intelligent systems - Bayesian networks - Reliability - Monte Carlo methods - Parameter estimation - Entropy;
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摘要
In generalized exponential distribution, the estimations and their admissibility of the parameter and the reliability index of generalized exponential distribution are discussed. The UMVUE. MRE. Bayesian estimation and empirical bayes estimation for parameter and reliability index of the generalized exponential distribution are obtained used conjugate prior under entropy loss function by transforming the distribution function. And we prove the estimation of the generalized exponential distribution with the form of [cT(x)+d]-1 is admissibility. At last, the MSE of the estimations are compared based on Monte Carlo simulation study. According to these comparisons, it is suggested that the empirical Bayes estimation have high-precision.
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页码:1763 / 1769
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