Bayesian estimation of the Weibull parameters based on competing risks grouped data

Based on the competing risks grouped data, Bayesian estimation approach is considered for the parameters of the Weibull distribution and the related specific hazard and survival functions. The estimation procedures are carried out under the square error loss (SELF) and linear exponential loss (LINEX) functions. High posterior (HPD) credible intervals for the specified parameters are also obtained. The derived estimators are in explicit closed forms. Their properties and performance are illustrated through an application to real lifetime's data and an extended simulation study. Overall results indicate that, the Bayesian estimators are dominated other estimators obtained by other methods and are recommended when continuous life testing is not available.