Characterization of Phani Distribution Based on Generalized Order Statistics

A-Rahman, Ali A.; Abdul-Moniem, Ibrahim B.; Gad, Khater A. E.; Assar, Salwa M.

doi:10.21608/sjsci.2023.221145.1092

	Characterization of Phani Distribution Based on Generalized Order Statistics
Sohag Journal of Sciences
Volume 9, Issue 1, March 2024, Page 32-39 PDF (454.97 K)
Document Type: Regular Articles
DOI: 10.21608/sjsci.2023.221145.1092
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Authors
Ali A. A-Rahman¹; Ibrahim B. Abdul-Moniem²; Khater A. E. Gad ¹; Salwa M. Assar¹
¹Faculty of Graduate Studies for Statistical Research, Cairo University, Egypt
²Department of Statistics, Higher Institute of Management Sciences, Sohag, Egypt
Abstract
This paper focuses on the derivation of recurrence relations for both single and product moments of generalized order statistics derived from the Phani distribution. Special attention is given to order statistics and records as specific cases. Additionally, the characterization of the Phani distribution is achieved by utilizing recurrence relations for single and product moments.
Keywords
Generalized order statistics; Order statistics; Records; Single and product moments; Recurrence relations


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