Abstract
This paper mainly aims to estimate the unknown parameters included in three independent competing risks in the presence of complete observations, incomplete observations and Type-II censoring. Analyzing data is established from some of Weibull models with consideration mainly that there are three independent causes of failure. The case when the competing risks (three causes) have Weibull distribution with two parameters, exponentiated Weibull distribution and Rayleigh distribution is considered. The maximum likelihood estimators of the different parameters and their relative risks are obtained. Properties of the estimated values have been studied through a simulation study.
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