Jointly type-II censored Lindley distributions

Comparative life time tests are of great importance when experimenter studies the reliability of two competing products in respect to their relative merits. The present article deals with, inference for two Lindley populations, when joint type-II censoring scheme is implemented on the two samples in a joint manner. In the current study, the maximum likelihood estimators of the parameters of Lindley populations are derived, along with their confidence intervals based on Fisher's information matrix. In order to evaluate the impact of the prior information, the Bayes estimates are calculated using informative and non informative priors under generalized entropy loss function. Further, the concept of importance sampling is given because, in the present study, expressions for Bayes estimators and associated credible intervals cannot be calculated in closed form. A Monte Carlo simulation study is performed for comparing the performance of estimators of population parameters. At last, a real data set is utilized to illustrate all the methods of sample inferences developed in this study.