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

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Articles