On some order statistics properties of the Mukherjee-Islam distribution
Abstract
In this paper, we study the distribution of order statistics of the Mukherjee-Islam distribution. We establish some recurrence relation for single and product moments of order statistics from Mukherjee-Islam distribution. These recurrence relations will enable the computation of the means, variances and covariances of all order statistics for all sample sizes in a simple and efficient recursive manner. The exact analytical expressions of entropy, residual entropy and past residual entropy for order statistics of Mukherjee-Islam distribution are derived.
Copyright © 2016 Javid Gani Dar, Bander Al-Zahrani, Mashail Al-Sobhi, M. A. K. Baig. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
J. G. Dar, B. Al-Zahrani, M. Al-Sobhi, M. A. K. Baig, On some order statistics properties of the Mukherjee-Islam distribution, J. Math. Comput. Sci. 6 (2016), 555–567.
BibTeX
@article{Dar2016,
author = {Dar, Javid Gani and Al-Zahrani, Bander and Al-Sobhi, Mashail and Baig, M. A. K.},
title = {On some order statistics properties of the Mukherjee-Islam distribution},
journal = {J. Math. Comput. Sci.},
volume = {6},
year = {2016},
pages = {555--567},
doi = {}
}