Expected experiment times for the Weibull distribution under progressive censoring with random removals

Abstract

This paper considers the expected experiment times for Weibull-distributed lifetimes under type II progressive censoring, with the numbers of removals being random. The formula to compute the expected experiment times is given. A detailed numerical study of this expected time is carried out for different combinations of model parameters. Furthermore, the ratio of the expected experiment time under this type of progressive censoring to the expected experiment time under complete sampling is studied.

Adaptive progressive Type-II censoring

“…Moreover, this shows that these models are mixture models with mixing pmf g * m . This approach corresponds to progressive censoring models with random removals according to a probability distribution g * (see, for instance, Yuen and Tse 1996, Tse and Yuen 1998, Tse et al 2000, Tse and Xiang 2003, and Tse and Yang 2003. Such a scheme is called a simple adaptive progressive censoring scheme.…”

Accelerated life test sampling plans for the Weibull distribution under Type I progressive interval censoring with random removals

“…An application of progressive censoring was reported in [13] for studying the performance of electronic components where some test units had to be removed due to excessive heat. Tse and Yuen [14], Tse et al [15], and Yuen and Tse [16] investigated the problems of parameter estimation and the expected experiment time under this type of censoring with random removals. In particular, Tse and Yang [17] investigated reliability sampling plans under Type II progressive censoring with random removals.…”

Estimation for the two-parameter pareto distribution under progressive censoring with uniform removals

“…However, in some practical situations, these numbers may occur at random. Tse and Yuen (1998) indicated that, for example, the number of patients drop out from a clinical test at each stage is random and cannot be pre-determined. In some reliability experiments, an experimenter may decide that it is inappropriate or too dangerous to carry on the testing on some of the tested units even though these units have not failed.…”