Recurrence Relation for The Moments of Order Statistics from The Beta Exponential-Geometric Distribution

  • Ali Jaleel Najm Department of Statistics, Faculty of Mathematics, Statistics and Computer Science, University of Tabriz, Tabriz, Iran
  • Hossein Jabbari Khamnei Department of Statistics, Faculty of Mathematics, Statistics and Computer Science, University of Tabriz, Tabriz, Iran https://orcid.org/0000-0003-0902-0967
  • Somayeh Makouei Department of Biomedical Engineering, Faculty of Electrical and Computer Engineering, University of Tabriz, Tabriz, Iran https://orcid.org/0000-0001-7490-4422
DOI: https://doi.org/10.19139/soic-2310-5070-2673
Keywords: Order statistics; Single and product moments; Recurrence relations; Beta exponential-geometric; Reliability analysis

Abstract

In this paper, a novel cumulative distribution function (cdf) for beta exponential-geometric (BEG) distribution, through two distinct practical frames, is developed. However, the presented models are obviously more pragmatic than the ones being demonstrated in previous works, in the case of extending further relations. Then, using the exhibited cdfs, certain recurrence relations for the single and product moments of the order statistics of a random sample of size n arising from BEG distribution are derived.
Published
2025-10-13
How to Cite
Jaleel Najm, A., Jabbari Khamnei, H., & Makouei, S. (2025). Recurrence Relation for The Moments of Order Statistics from The Beta Exponential-Geometric Distribution. Statistics, Optimization & Information Computing, 15(1), 602-628. https://doi.org/10.19139/soic-2310-5070-2673
Issue
Vol 15 No 1 (2026)
Section
Research Articles
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