Ratio and Inverse Moments of Marshall-Olkin extended Pareto Distribution through Generalized Record Values and Characterizations

Mahfooz  Alam; Mahfooz  Alam; Rafiqullah  Kha; Zaki  Anwar

Ratio and Inverse Moments of Marshall-Olkin extended Pareto Distribution through Generalized Record Values and Characterizations

Authors

Mahfooz Alam Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh, India
Mahfooz Alam Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh, India
Rafiqullah Kha Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh, India
Zaki Anwar Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh, India

Keywords:

Single moment, product moment, upper record values, Stirling numbers of first kind, harmonic numbers, hyper-geometric function, recurrence relations

Abstract

In this paper, exact expressions as well as recurrence relations for ratio and inverse moments of generalized record values of different orders from Marshall-Olkin extended Pareto distribution have been obtained. Further, we characterize the given distribution through recurrence relations and some of its deductions are also discussed.

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Published

2022-06-29

How to Cite

Alam, M. ., Alam, M. ., Kha, R. ., & Anwar, Z. . (2022). Ratio and Inverse Moments of Marshall-Olkin extended Pareto Distribution through Generalized Record Values and Characterizations. Thailand Statistician, 20(3). Retrieved from https://ph02.tci-thaijo.org/index.php/thaistat/article/view/246981