Approximate prediction limit for Weibull failure based on preliminary test estimator

Abstract

In this paper we have considered type II censored sample from a two parameter Weibull distribution with the known scale parameter. Using the preliminary test estimator of the unknown shape parameter β proposed by Pandey (1983), the paper derives a method of finding the approximate prediction limit for the minimum or, more generally, the jthsmallest of a set of future observations from the Weibull or even extreme-value distribution. © 1986, Taylor & Francis Group, LLC. All rights reserved.