Recurrence Relations for Moments of Dual Generalized Order Statistics from Weibull Gamma Distribution and Its Characterizations

Authors

M. A. W. Mahmoud, Al-Azhar University - Egypt
Y. Abdel-Aty, Al-Azhar University - Gaza
N. M. Mohamed, Suez Canal University
Gholamhossein Hamedani, Marquette UniversityFollow

Document Type

Article

Language

eng

Format of Original

11 p.

Publication Date

2014

Publisher

Natural Sciences Publishing

Source Publication

Journal of Statistics Application & Probability

Source ISSN

2090-8423

Original Item ID

doi: 10.12785/jsap/030209

Abstract

In this paper, we establish explicit forms and new recurrence relations satisfied by the single and product moments of dual generalized order statistics from Weibull gamma distribution (WGD). The results include as particular cases the relations for moments of reversed order statistics and lower records. We present characterizations of WGD based on (i) recurrence relation for single moments, (ii) truncated moments of certain function of the variable and (iii) hazard function.

Comments

Published version. Journal of Statistics Application & Probability, Vol. 3, No. 2 (2014): 189-199. DOI. © 2014 Natural Sciences Publishing. Used with permission.

Recommended Citation

Mahmoud, M. A. W.; Abdel-Aty, Y.; Mohamed, N. M.; and Hamedani, Gholamhossein, "Recurrence Relations for Moments of Dual Generalized Order Statistics from Weibull Gamma Distribution and Its Characterizations" (2014). Mathematics, Statistics and Computer Science Faculty Research and Publications. 249.
https://epublications.marquette.edu/mscs_fac/249