In epidemiologic studies of time to an event, mean lifetime is often of direct interest. We propose methods to estimate group- (e.g., treatment-) specific differences in restricted mean lifetime for studies where treatment is not randomized and lifetimes are subject to both dependent and independent censoring. The proposed methods may be viewed as a hybrid of two general approaches to accountin...

This paper considers optimal design problems for the Weibull distribution, which can be used to model symmetrical or asymmetrical data, in presence of progressive interval censoring life-testing experiments. Two robust approaches, Bayesian and minimax, are proposed deal with dependence D-optimality c-optimality on unknown parameters. Meanwhile, compound method is applied ensure a compromise bet...

The lifetime performance index is commonly utilized to assess the of products. Based on testing procedure for products following Chen distribution, an experimental design progressive type I interval censoring determined achieve desired power level while minimizing total cost. For fixed inspection lengths and unfixed number intervals, required intervals sample sizes minimum costs are computed pr...

In many observational studies one is concerned with comparing treatment specific survival distributions in the presence of confounding factors and censoring. In this paper we develop locally efficient point and interval estimators of these survival distributions which adjust for confounding by using an estimate of the propensity score and concurrently allow for dependent censoring. The proposed...