We express our sincere thanks to the honorable Editors and anonymous Reviewers for valuable comments and fruitful suggestions, which significantly improved the manuscript. In this paper, hierarchical Bayes approach is presented for estimation and prediction of reliability indexes and remaining lifetimes of a cold standby series system under general progressive Type II censoring scheme. A simula...

In clinical trials and life testing problems the responses are time-sequential in nature and a compl~t~ experimentation may involve a prohibitive amount of time and cost •. • Fo't "this reason, progressive· censoring schemes (PCS) are often advocated with a view to terminating the experimentation at the earliest possible stage if the accumulated statistical evidence warrants to do so. In this d...

In the context of survival analysis under a progressive censoring scheme, a class of analysis of covariance tests based on suitable linear rank statistics is proposed and studied. Some invariance principles for certain (multivariate) progressively censored rank order processes are ~ established and incorporated in the study of the asymptotic properties of the proposed tests. AMS 1970 Classifica...

For progressive censoring schemes pertaining to a general class of (parametric as well asnonparametric) testing situations, one encounters a (partial) sequence of linear combinations of functions of order statistics where the coefficients are themselves stochastic variables. Weak covergence of such a quantile process to an appropriate Gaussian function ~ is studied here, and the same is incorpo...

This paper provides an overview of nonparametric predictive inference for comparison of multiple groups of data including right-censored observations. Different right-censoring schemes discussed are early termination of an experiment, progressive censoring and competing risks. Theoretical results are briefly stated, detailed justifications are presented elsewhere. The methods are illustrated an...

Bayesian predictive functions for future observations from a generalized Pareto distribution based on generalized order statistics are obtained. Two cases are considered unknown one parameter and unknown two parameters. We also consider two cases fixed sample size and random sample size. The Bayesian predictive functions are specialized to ordinary order statistics, progressive type II censorin...

Abstract: This paper considers the estimation problem for the Burr type-X, when the lifetimes are collected under Type-II progressive censoring with random removals, where the number of units removed at each failure time follows a binomial distribution. We use the methods of maximum likelihood as well as the Bayes procedure to derive both point and interval estimators of the parameters. The exp...

In reliability and lifetime testing, comparison of two groups of data is a common problem. In some lifetime experiments, making a quick and efficient decision is desirable in order to save time and costs. To this end, a progressive censoring scheme can be useful, with censoring occurring at different stages [2]. This paper presents a nonparametric predictive inference (NPI) approach to compare ...

This paper, determines the confidence interval using the Fisher information under progressive type-II censoring for the k-step exponential step-stress accelerated life testing. We study the performance of these confidence intervals. Finally an example is given to illustrate the proposed procedures.

In this paper we compute the expected Fisher information and the asymptotic variance-covariance matrix of the ML estimates based on progressively Type-II censored sample from Weibull distribution by direct calculation as well as the missing information principle. These values are then used to determine the optimal progressive censoring plans. Three optimality criteria are considered and some se...