RELIABILITY ANALYSIS OF MASKED DATA FOR EXPONENTIALLY DISTRIBUTED COMPONENTS UNDER MULTIPLE TYPE-Ⅱ CENSORING

In the case of multiple type-Ⅱ censoring, the maximum likelihood estimations of the parameters are proposed for the masked data of the series system of two components with exponential life distribution (same and different parameters), and the uniqueness of the likelihood equation root is proved. The Bayes point estimations and interval estimations of the parameters are also given under the assumption that the prior distribution is Gamma distribution. Besides, the likelihood function is deduced theoretically for the masked data of the parallel system with two components with exponential life distribution (same parameters), and the uniqueness of maximum likelihood estimation is proved. The Bayes point estimation and interval estimation of the parameter is proposed under the assumption of Gamma distribution. The application of the method is illustrated through simulation data in various situations.