Selection of Weibull Shape Parameter, Based on Adaptive Estimation

The paper provides a modified likelihood ratio criterion for deciding whether or not the Weibull shape parameter is unity. The analysis is based on a Monte Carlo study of 1000 samples of simulated life-test data. The method has been used as a preliminary test for estimating unknown parameters. Thus two sets of adaptive estimators of the scale and the shape parameters are proposed and their s-efficiency studied by a Monte Carlo simulation. The adaptive estimators are better.