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

Authors

M. A. W. Mahmoud, Department of Mathematics, Faculty of Science Al-Azhar University, Nasr City, Cairo 11884, Egypt
Y. Abdel-Aty
N. M. Mohamed
G. G. Hamedani

Author Country (or Countries)

Egypt

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 ofWGD based on (i) recurrence relation for single moments, (ii) truncated moments of certain function of the variable and (iii) hazrad function.

Suggested Reviewers

N/A

Recommended Citation

A. W. Mahmoud, M.; Abdel-Aty, Y.; M. Mohamed, N.; and G. Hamedani, G. (2014) "Recurrence Relations for Moments of Dual Generalized Order Statistics from Weibull Gamma Distribution and Its Characterizations," Journal of Statistics Applications & Probability: Vol. 3: Iss. 2, Article 9.
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol3/iss2/9