Title :
Monte Carlo Comparisons of Parameter Estimators of the 2-parameter Weibull Distribution
Author :
Gross, Alan J. ; Lurie, Dan
Author_Institution :
Department of Biometry; Medical University of South Carolina; 171 Ashley Avenue; Charleston, SC 29403 USA.
Abstract :
A Monte Carlo Simulation was carried out in order to compare three different estimators of the 2-parameter Weibull distribution. The estimators were the ML (maximum likelihood) estimators and two other estimator pairs suggested by Bain & Antle. The Bain-Antle estimators are better than the ML estimator for small samples (in that their bias, standard deviation, and rms error are smaller), whereas the ML estimator is superior in large samples.
Keywords :
Associate members; Convergence; Distributed computing; Failure analysis; Maximum likelihood estimation; Monte Carlo methods; Parameter estimation; Reliability engineering; Reliability theory; Weibull distribution; Bain-Antle estimators; Maximum likelihood estimators; Monte Carlo simulation; Weibull distbution;
Journal_Title :
Reliability, IEEE Transactions on
DOI :
10.1109/TR.1977.5220202