Issue: 2023/Vol.33/No.4, Pages 1-14

EXPECTATION PROPERTIES OF GENERALIZED ORDER STATISTICS BASED ON GOMPERTZ-G FAMILY OF DISTRIBUTIONS

Yousef F. Alharbi , Mohamad A. Fawzy , Haseeb Athar 

Full paper (PDF)    RePEC

Cite as: Y. F. Alharbi, M. A. Fawzy, H. Athar. Expectation properties of generalized order statistics based on Gompertz-G family of distributions. Operations Research and Decisions 2023: 33(4), 1-14. DOI 10.37190/ord230401

Abstract
Gompertz-G family of distributions has been considered. The moment properties of generalized order statistics were studied and characterization results have been presented. Further, several examples and special cases were discussed. The results can be applied to many known distributions included in this family.

Keywords: generalized order statistics, expectation identities, Gompertz-G family of distributions, characterization

Received: 11 September 2022    Accepted: 17 August 2023
Published online: 22 December 2023