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Recurrence relations between moments of order statistics

Author

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  • A. H. Khan
  • Mohd Yaqub
  • Saud Parvez

Abstract

A general result for obtaining recurrence relations between single moments of order statistics is obtained and has been used to establish the recurrence relations between moments of some doubly truncated distributions. The examples considered are Weibull, exponential, Pareto, power function, Cauchy, and logistic. Recurrence relations are also obtained for nontruncated gamma and beta distributions.

Suggested Citation

  • A. H. Khan & Mohd Yaqub & Saud Parvez, 1983. "Recurrence relations between moments of order statistics," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 30(3), pages 419-441, September.
    • Handle: RePEc:wly:navlog:v:30:y:1983:i:3:p:419-441
    DOI: 10.1002/nav.3800300307
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    Cited by:

    1. Zuber Akhter & Jagdish Saran & Kanika Verma & Narinder Pushkarna, 2022. "Moments of Order Statistics from Length-Biased Exponential Distribution and Associated Inference," Annals of Data Science, Springer, vol. 9(6), pages 1257-1282, December.
    2. Abdelaziz Alsubie & Zuber Akhter & Haseeb Athar & Mahfooz Alam & Abd EL-Baset A. Ahmad & Gauss M. Cordeiro & Ahmed Z. Afify, 2021. "On the Omega Distribution: Some Properties and Estimation," Mathematics, MDPI, vol. 9(6), pages 1-21, March.

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