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A note on the asymptotic distribution of the estimation of the mean past lifetime

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  • Afshin Parvardeh

Abstract

A measure used in reliability and survival analysis is mean past lifetime (MPL). In this paper, we study the asymptotic strong uniform behavior and the weak convergence of estimation of MPL function. We also investigate the Hadamard differentiability of MPL at the fixed time and obtain asymptotic distribution of its estimate by using the functional delta method again. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Afshin Parvardeh, 2015. "A note on the asymptotic distribution of the estimation of the mean past lifetime," Statistical Papers, Springer, vol. 56(1), pages 205-215, February.
    • Handle: RePEc:spr:stpapr:v:56:y:2015:i:1:p:205-215
    DOI: 10.1007/s00362-013-0575-1
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    Citations

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    Cited by:

    1. Michael Weba & Nora Dörmann, 2017. "Application of the delta method to functions of the sample mean when observations are dependent," Statistical Papers, Springer, vol. 58(4), pages 957-986, December.
    2. Jafar Ahmadi & H. N. Nagaraja, 2020. "Conditional properties of a random sample given an order statistic," Statistical Papers, Springer, vol. 61(5), pages 1971-1996, October.
    3. Elham Zamanzade & Majid Asadi & Afshin Parvardeh & Ehsan Zamanzade, 2023. "A ranked-based estimator of the mean past lifetime with an application," Statistical Papers, Springer, vol. 64(1), pages 161-177, February.

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