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 (3 proposed by Pandey (1983), the paper derives a method of finding the approximate prediction limit for the minimum or, more generally,the j^th smallest of a set of future observations from the Weibull or even extreme-value distribution

Keywords:

• Weibull distribution
• extreme-value distribution
• shape parameter
• one and two-sample prediction problems