Resumen de Stress-strength reliability of Weibull distribution based on progressively censored samples
Akbar Asgharzadeh, Reza Valiollahi, Mohammad Z. Raqab
Based on progressively Type-II censored samples, this paper deals with inference for the stress- strength reliability R = P(Y < X) when X and Y are two independent Weibull distributions with different scale parameters, but having the same shape parameter. The maximum likelihood esti- mator, and the approximate maximum likelihood estimator of R are obtained. Different confidence intervals are presented. The Bayes estimator of R and the corresponding credible interval using the Gibbs sampling technique are also proposed. Further, we consider the estimation of R when the same shape parameter is known. The results for exponential and Rayleigh distributions can be obtained as special cases with different scale parameters. Analysis of a real data set as well a Monte Carlo simulation have been presented for illustrative purposes.
