فهرست نشریات علمی دسترسی آزاد ایران

In this paper, we propose a class of bivariate distributions as a general solution to a functional equation. This general class of distributions proposed includes many well studied bivariate distributions. It also enjoys a proportional reversed hazards model for the distribution of the component-wise maxima. Characterizations of this general class based on a functional equation, conditional mean and conditional variance are studied. The simulation algorithm to generate bivariate pairs from the members of this general class is provided. It is shown that these properties find applications in developing simple univariate procedures in lieu of complicated bivariate goodness of fit procedures for members of the proposed class. The univariate goodness of fit procedure for the American Football dataset of the National Football League has been illustrated.