Title of article :
Estimating System Reliability of Competing Weibull Failures with Censored Sampling
Author/Authors :
Abd-Elfattah, A. M. saudi arabia - College of Science - Department of Statistics, Saudia Arabia , Mohamed, Marwa O. Zagazig University - Department of Mathematics, Egypt
Abstract :
In this paper, we consider the estimation of R = P(Y X) where X and Y have two independent Weibull distributions with di¤erent scale para- meters and the same shape parameter. We used di¤erent methods for estimating R. Assuming that the common shape parameter is known, the maximum like-lihood, uniformly minimum variance unbiased and Bayes estimators for R are obtained based on type-II right censored sample. Monte Carlo simulations are performed to compare the different estimators.
Keywords :
Stress , strength model , Maximum likelihood estimator , Unbiased , ness , Consistency , Uniformly minimum variance unbiased estimator , Bayesian estimator , Type II censoring
Journal title :
Selcuk Journal of Applied Mathematics
Journal title :
Selcuk Journal of Applied Mathematics
