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Characterizations through generalized and dual generalized order statistics, with an application to statistical prediction problem

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  • Shah, Imtiyaz A.
  • Barakat, H.M.
  • Khan, A.H.

Abstract

Some distribution functions have been characterized based on two non-adjacent generalized and dual generalized order statistics. Moreover, we show that these characterization properties provide a beneficial strategy to predict future events, which are based on past or current events and on an arbitrary distribution function.

Suggested Citation

  • Shah, Imtiyaz A. & Barakat, H.M. & Khan, A.H., 2020. "Characterizations through generalized and dual generalized order statistics, with an application to statistical prediction problem," Statistics & Probability Letters, Elsevier, vol. 163(C).
    • Handle: RePEc:eee:stapro:v:163:y:2020:i:c:s0167715220300857
    DOI: 10.1016/j.spl.2020.108782
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    References listed on IDEAS

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    1. Oncel, Sevgi Yurt & Ahsanullah, Mohammad & Aliev, Fazil A. & Aygun, Funda, 2005. "Switching record and order statistics via random contractions," Statistics & Probability Letters, Elsevier, vol. 73(3), pages 207-217, July.
    2. Shah, Imtiyaz A. & Khan, A.H. & Barakat, H.M., 2015. "Translation, contraction and dilation of dual generalized order statistics," Statistics & Probability Letters, Elsevier, vol. 107(C), pages 131-135.
    3. Philip Samuel, 2008. "Characterization of distributions by conditional expectation of generalized order statistics," Statistical Papers, Springer, vol. 49(1), pages 101-108, March.
    4. Aboeleneen, Z.A., 2010. "Inference for Weibull distribution under generalized order statistics," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(1), pages 26-36.
    5. Mahdi Tavangar & Marzieh Hashemi, 2013. "On characterizations of the generalized Pareto distributions based on progressively censored order statistics," Statistical Papers, Springer, vol. 54(2), pages 381-390, May.
    6. 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.
    7. Jacek WesoŁowski & Mohammad Ahsanullah, 2004. "Switching Order Statistics through Random Power Contractions," Australian & New Zealand Journal of Statistics, Australian Statistical Publishing Association Inc., vol. 46(2), pages 297-303, June.
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    Cited by:

    1. Amany E. Aly, 2023. "Predictive inference of dual generalized order statistics from the inverse Weibull distribution," Statistical Papers, Springer, vol. 64(1), pages 139-160, February.
    2. H. M. Barakat & Haidy A. Newer, 2022. "Exact prediction intervals for future exponential and Pareto lifetimes based on ordered ranked set sampling of non-random and random size," Statistical Papers, Springer, vol. 63(6), pages 1801-1827, December.

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