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Estimation of R= P [Y < X] for Two-parameter Burr Type XII Distribution

Authors: S.Asadi, H.Panahi


In this article, we consider the estimation of P[Y < X], when strength, X and stress, Y are two independent variables of Burr Type XII distribution. The MLE of the R based on one simple iterative procedure is obtained. Assuming that the common parameter is known, the maximum likelihood estimator, uniformly minimum variance unbiased estimator and Bayes estimator of P[Y < X] are discussed. The exact confidence interval of the R is also obtained. Monte Carlo simulations are performed to compare the different proposed methods.

Keywords: Burr Type XII distribution, stress-strength model, Bayes estimator, maximum likelihood estimator

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