Semiparametric methods are well established for the analysis of a progressive Markov illness-death process observed up to a noninformative right censoring time. However, often the intermediate and terminal events are censored in different ways, leading to a dual censoring scheme. In such settings, unbiased estimation of the cumulative transition intensity functions cannot be achieved without so...

In several studies in reliability and in medical science, the cause of failure/death of items or individuals may be attributable to more then one cause. In this paper, we will study the competing risks model when the data is progressively Type-II censored with random removals. We study the model under the assumption of independent causes of failure and exponential lifetimes, where the number of...

ed on a progressively type-II censored sample from the exponential distribution with unknown location and scale parameter, confidence bands are proposed for underlying function by using regions parameters Kolmogorov–Smirnov type statistics. Simple explicit representations boundaries coverage probabilities of analytically derived, performance is compared in terms band width area means data examp...