Characterization of exponentiated family of distributions based on recurrence relations for generalized order statistics
Abstract
In this paper, we derive recurrence relations for moment, conditional moment generating functions and product moments of generalized order statistics based on exponentiated family of distributions. Recurrence relations for moment, conditional moment generating functions and product moments of ordinary order statistics and ordinary record values are obtained as special cases. These recurrence relations are also used to characterize this family.
Copyright © 2012 M. A. W. Mahmoud, M. G. M. Ghazal. 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
M. A. W. Mahmoud, M. G. M. Ghazal, Characterization of exponentiated family of distributions based on recurrence relations for generalized order statistics, J. Math. Comput. Sci. 2 (2012), 1894–1908.
BibTeX
@article{Mahmoud2012,
author = {Mahmoud, M. A. W. and Ghazal, M. G. M.},
title = {Characterization of exponentiated family of distributions based on recurrence relations for generalized order statistics},
journal = {J. Math. Comput. Sci.},
volume = {2},
year = {2012},
pages = {1894--1908},
doi = {}
}