Title :
Selection of Weibull Shape Parameter, Based on Adaptive Estimation
Author :
Pandey, M. ; Upadhyay, S.K.
Author_Institution :
Department of Mathematics & Statistics; Banaras Hindu University; Varanasi - 221 005 INDIA.
fDate :
6/1/1983 12:00:00 AM
Abstract :
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.
Keywords :
Adaptive estimation; Arithmetic; Exponential distribution; Hazards; Life testing; Manufacturing; Maximum likelihood estimation; Shape; Statistical analysis; Weibull distribution; Adaptive estimation; Life test; Modified likelihood ratio; Weibull distribution; Weibull shape parameter;
Journal_Title :
Reliability, IEEE Transactions on
DOI :
10.1109/TR.1983.5221535
