%0 Journal Article
	%A H.Panahi and  S.Asadi
	%D 2010
	%J International Journal of Mathematical and Computational Sciences
	%B World Academy of Science, Engineering and Technology
	%I Open Science Index 48, 2010
	%T Estimation of R= P [Y < X] for Two-parameter Burr Type XII Distribution
	%U https://publications.waset.org/pdf/15474
	%V 48
	%X In this article, we consider the estimation of P[Y &lt; 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 &lt; X] are discussed. The exact confidence interval of the R is also obtained. Monte Carlo simulations are performed to compare the different proposed methods.

	%P 1475 - 1480