confidence intervals for the power modified lindley distribution based on progressive type-ii censoring samples

In this paper, maximum likelihood estimators of the parameters, reliability and hazard functions have been obtained for power modified lindley distribution when sample is available from progressive type-ii censoring scheme. we compute confidence intervals based on the asymptotic method based on the mle, credible interval, delta method and bootstrap methods. in order to construct the asymptotic confidence intervals of the reliability and hazard functions, we need to find the variance of them, which are approximated by delta. one real data sets have been analyzed to demonstrate how the proposed methods can be used in practice.