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A note on some new renewal ageing notions

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  • Bon, Jean-Louis
  • Illayk, Abbas
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    Abstract

    Many notions have been proposed to describe the ageing property of a lifetime. Some of the earlier developments can be found in Barlow and Proschan (Statistical Theory of Reliability and Life Testing, Holt, Reinhart and Winston, New York, 1975) and Gnedenko et al. (Mathematical Methods of Reliability Theory, Academic press, New York, London, 1969). Recently, Abouammoh et al. (Statist. Probab. Lett. 48 (2000) 189) introduced new classes arising from stochastic comparisons with the stationary renewal distribution. We show here that their new renewal better than used in expectation class contains only the exponential random variables.

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    Bibliographic Info

    Article provided by Elsevier in its journal Statistics & Probability Letters.

    Volume (Year): 57 (2002)
    Issue (Month): 2 (April)
    Pages: 151-155

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    Handle: RePEc:eee:stapro:v:57:y:2002:i:2:p:151-155

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    Keywords: Ageing property Renewal process NBU NBUE HNBUE;

    References

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    1. Abouammoh, A. M. & Ahmad, R. & Khalique, A., 2000. "On new renewal better than used classes of life distributions," Statistics & Probability Letters, Elsevier, vol. 48(2), pages 189-194, June.
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    Cited by:
    1. Bruno Bassan & Yosef Rinott & Yehuda Vardi, 2002. "On stochastic comparisons of excess times," Discussion Paper Series dp302, The Center for the Study of Rationality, Hebrew University, Jerusalem.
    2. Ibrahim Ahmad & A. Mugdadi, 2005. "Bounds of moment generating functions of some life distributions," Statistical Papers, Springer, vol. 46(4), pages 575-585, October.

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