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On the moments of order statistics coming from the Topp–Leone distribution

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  • MirMostafaee, S.M.T.K.

Abstract

We present recurrence relations for the moments of order statistics from the Topp–Leone distribution without any restriction for the shape parameter. Several relations are also derived when the shape parameter is an integer. An application of the results is provided.

Suggested Citation

  • MirMostafaee, S.M.T.K., 2014. "On the moments of order statistics coming from the Topp–Leone distribution," Statistics & Probability Letters, Elsevier, vol. 95(C), pages 85-91.
    • Handle: RePEc:eee:stapro:v:95:y:2014:i:c:p:85-91
    DOI: 10.1016/j.spl.2014.08.014
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    References listed on IDEAS

    as
    1. Ali Genç, 2012. "Moments of order statistics of Topp–Leone distribution," Statistical Papers, Springer, vol. 53(1), pages 117-131, February.
    2. Nadarajah, Saralees, 2008. "Explicit expressions for moments of order statistics," Statistics & Probability Letters, Elsevier, vol. 78(2), pages 196-205, February.
    3. M. E. Ghitany & S. Kotz & M. Xie, 2005. "On some reliability measures and their stochastic orderings for the Topp-Leone distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 32(7), pages 715-722.
    4. P. Thomas & Philip Samuel, 2008. "Recurrence relations for the moments of order statistics from a beta distribution," Statistical Papers, Springer, vol. 49(1), pages 139-146, March.
    5. Navarro, Jorge & Rychlik, Tomasz, 2007. "Reliability and expectation bounds for coherent systems with exchangeable components," Journal of Multivariate Analysis, Elsevier, vol. 98(1), pages 102-113, January.
    6. Saralees Nadarajah & Samuel Kotz, 2003. "Moments of some J-shaped distributions," Journal of Applied Statistics, Taylor & Francis Journals, vol. 30(3), pages 311-317.
    Full references (including those not matched with items on IDEAS)

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