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Relationship for Quotient Moments of Ordered Random Variables from Exponentiated Pareto Distribution

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  • Devendra Kumar

    (Department of Statistics, Central University of Haryana, India)

Abstract

In this paper, we have established several new explicit expressions and recurrence relations satisfied by the quotient moments and conditional quotient moments of dual generalized order statistics from Exponentiated Pareto distribution, to enable one to evaluate the single and product moments of all order in simple recursive manner. The results for order statistics and record values are deduced from the relations derived. Further, recurrence relation for conditional quotient moments of dual generalized order statistics we obtain a characterization of exponentiated Pareto distribution.

Suggested Citation

  • Devendra Kumar, 2018. "Relationship for Quotient Moments of Ordered Random Variables from Exponentiated Pareto Distribution," Biostatistics and Biometrics Open Access Journal, Juniper Publishers Inc., vol. 6(5), pages 138-143, May.
  • Handle: RePEc:adp:jbboaj:v:6:y:2018:i:5:p:138-143
    DOI: 10.19080/BBOAJ.2018.06.555698
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    References listed on IDEAS

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    1. A. K. Md. Ehsanes Saleh & Christine Scott & D. Bruce Junkins, 1975. "Exact first and second order moments of order statistics from the truncated exponential distribution," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 22(1), pages 65-77, March.
    2. Marco Burkschat & Erhard Cramer & Udo Kamps, 2003. "Dual generalized order statistics," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(1), pages 13-26.
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