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Characterizations of the exponential distribution by the concept of residual life at random time

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  • Kayid, M.
  • Izadkhah, S.

Abstract

In this paper, the convolution and the order statistics of k independent random lifetimes are considered as random times. Based on the concept of residual life at such random times, new characterizations of the exponential distribution are established.

Suggested Citation

  • Kayid, M. & Izadkhah, S., 2015. "Characterizations of the exponential distribution by the concept of residual life at random time," Statistics & Probability Letters, Elsevier, vol. 107(C), pages 164-169.
    • Handle: RePEc:eee:stapro:v:107:y:2015:i:c:p:164-169
    DOI: 10.1016/j.spl.2015.08.022
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    References listed on IDEAS

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    1. Crescenzo, Antonio Di, 2000. "Some results on the proportional reversed hazards model," Statistics & Probability Letters, Elsevier, vol. 50(4), pages 313-321, December.
    2. Arnold, Barry C. & Villasenor, Jose A., 2013. "Exponential characterizations motivated by the structure of order statistics in samples of size two," Statistics & Probability Letters, Elsevier, vol. 83(2), pages 596-601.
    3. Dewan, Isha & Khaledi, Baha-Eldin, 2014. "On stochastic comparisons of residual life time at random time," Statistics & Probability Letters, Elsevier, vol. 88(C), pages 73-79.
    4. Fashandi, M. & Ahmadi, Jafar, 2012. "Characterizations of symmetric distributions based on Rényi entropy," Statistics & Probability Letters, Elsevier, vol. 82(4), pages 798-804.
    5. Gather, Ursula, 1988. "On a characterization of the exponential distribution by properties of order statistics," Statistics & Probability Letters, Elsevier, vol. 7(2), pages 93-96, September.
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    Cited by:

    1. Mohamed Kayid & Mansour Shrahili, 2023. "Characterization Results on Lifetime Distributions by Scaled Reliability Measures Using Completeness Property in Functional Analysis," Mathematics, MDPI, vol. 11(6), pages 1-15, March.
    2. Mansour Shrahili & Mohamed Kayid, 2022. "Characterizations of the Exponential Distribution by Some Random Hazard Rate Sequences," Mathematics, MDPI, vol. 10(17), pages 1-11, August.

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