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Bayes estimators for reliability measures in geometric distribution model using masked system life test data
Authors:Ammar M Sarhan  Debasis Kundu
Affiliation:a Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
b Department of Mathematics, Indian Institute of Technology Kanpur, Kanpur 208016, India
Abstract:This paper presents Bayes estimators for the reliability measures of the individual components in a multi-component systems in the presence of masked system life test data. The life time distributions of the system components are assumed to be geometric with different parameters. Two-sided Bayesian probability intervals of the parameters are also derived. Numerical simulation study is given in order to: (i) explain how one can apply the theoretical results obtained, (ii) study the influence of the sample size and masking level on the accuracy of point estimates.
Keywords:Bayes procedure  Geometric distribution  Reliability measures  Masked data  Competing risks
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