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Approximate mean squared errors of estimations of reliability in the two-parameter exponential case
Authors:Anne Chao
Institution:Institute of Applied Mathematics , National Tsing Hua University , Hsin Chu, Taiwan, ChinaNational Tsing Hua University
Abstract:Combining the method used i n Chao (1981) and conditional procedure, we extend our previous results for one-parameter exponential to two-parameter case, i .e. we provide simple approximation formulas for the mean squared errors of the maximum likelihood and minimum variance unbiased estimators of reliability of general k-out-of-m systems when the component lifetimes are independent and follow a two-parameter exponential distribution.
Keywords:two-parameter exponential  reliability  k-out-of-m system  minimum variance  maximum likelihood
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