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Reliability estimation of components in system under multiple type-II censoring samples using masked data. (Chinese. English summary) Zbl 1299.62109

Summary: The reliability estimation of the components in series system is investigated using masked system life data under multiple type-II censoring samples. At first, the sample likelihood function is deduced using the probit analysis method. Then based on the sample likelihood function, maximum likelihood estimations of component parameter and reliability function are obtained. Meanwhile, Bayes estimations of component parameter and reliability function are given under squared error, linear exponential and general entropy loss function, respectively. Finally, a numerical simulation is introduced to study the influence of masking level and censoring factor on the accuracy of the estimations and compare these estimations.

MSC:

62N05 Reliability and life testing
62N02 Estimation in survival analysis and censored data
62F10 Point estimation
62F15 Bayesian inference
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