Estimation of R= P [Y < X] for Two-parameter Burr Type XII Distribution
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چکیده
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—Stress-Strength model; Maximum likelihood estimator; Bayes estimator; Burr type XII distribution.
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