Omar, A. (2019). On the joint distribution of order statistics from independent non-identical bivariate distributions. test, 27(1), 1-6. doi: 10.1186/s42787-019-0034-9
A. R. Omar. "On the joint distribution of order statistics from independent non-identical bivariate distributions". test, 27, 1, 2019, 1-6. doi: 10.1186/s42787-019-0034-9
Omar, A. (2019). 'On the joint distribution of order statistics from independent non-identical bivariate distributions', test, 27(1), pp. 1-6. doi: 10.1186/s42787-019-0034-9
Omar, A. On the joint distribution of order statistics from independent non-identical bivariate distributions. test, 2019; 27(1): 1-6. doi: 10.1186/s42787-019-0034-9

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

Journal of the Egyptian Mathematical Society
Volume 27, Issue 1, 2019, Pages 1-6    PDF (510.29 K)
DOI: 10.1186/s42787-019-0034-9
Author
A. R. Omar
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
Bivariate order statistics; Joint distribution; Rank; Random vector
Statistics
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