Reliability for some bivariate beta distributions

Reliability for Some Bivariate Beta Distributions

In the area of stress-strength models there has been a large amount of work as regards estimation of the reliability R = Pr(X < Y). The algebraic form for R = Pr(X < Y) has been worked out for the vast majority of the well-known distributions when X and Y are independent random variables belonging to the same univariate family. In this paper, we consider forms of R when (X ,Y) follows a bivaria...

Reliability for Some Bivariate Gamma Distributions

In the area of stress-strength models, there has been a large amount of work as regards estimation of the reliability R = Pr(X < Y). The algebraic form for R = Pr(X < Y) has been worked out for the vast majority of the well-known distributions when X and Y are independent random variables belonging to the same univariate family. In this paper, we consider forms of R when (X ,Y) follows a bivari...

Bivariate Beta Distributions and Beyond

Information matrices for some bivariate Pareto distributions

The Fisher information matrices for four bivariate Pareto distributions are derived.

Recursive Evaluation of Some Bivariate Compound Distributions

In this paper we consider compound distributions where the counting distribution is a bivariate distribution with the probability function (Pn,,,2)n,,n2_>0 that satisfies a recursion in the form P""n2 = a°+al +a~2 +n~2/P'"-t'n2-' n2 P,1-1.,,2 qCOW Phi,n2-1, h i , n2 = 1, 2, ... We present an algorithm for recursive evaluation of the corresponding compound distributions and some examples of dist...