On the joint distribution of order statistics from independent non-identical bivariate distributions

Author

Faculty of Science, Department of Mathematics, Girls Branch, Al-Azhar University, Cairo, Egypt

Abstract

In this note, the exact joint probability density function (jpdf) of bivariate order
statistics from independent non-identical bivariate distributions is obtained.
Furthermore, this result is applied to derive the joint distribution of a new sample rank
obtained from the rth order statistics of the first component and the sth order statistics
of the second component

Keywords