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Generalized logistic frailty model

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  • Lai, Chin-Diew
  • Izadi, Muhyiddin
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    Abstract

    We propose a new reliability model which is a generalization of the logistic frailty model first considered by Vaupel (1990) for fitting human mortality data. Essentially, a shape parameter is added to the existing model providing more flexibility in modeling lifetime data. Several model properties such as the survival function, density and the hazard rate are investigated. In particular, we show that the model is very versatile; able to take a variety of non-monotonic hazard rate shapes. Parameters estimation is also considered. Two well known survival data sets are satisfactorily fitted by the proposed distribution and its goodness-of-fit is compared.

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    Bibliographic Info

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

    Volume (Year): 82 (2012)
    Issue (Month): 11 ()
    Pages: 1969-1977

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    Handle: RePEc:eee:stapro:v:82:y:2012:i:11:p:1969-1977

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    Related research

    Keywords: Deceleration; Gompertz model; Hazard rate ordering; Modified bathtub; Modified unimodal;

    References

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    1. Chen, Zhenmin, 2000. "A new two-parameter lifetime distribution with bathtub shape or increasing failure rate function," Statistics & Probability Letters, Elsevier, vol. 49(2), pages 155-161, August.
    2. Maxim S. Finkelstein, 2009. "Understanding the shape of the mixture failure rate (with engineering and demographic applications)," MPIDR Working Papers WP-2009-031, Max Planck Institute for Demographic Research, Rostock, Germany.
    3. Anatoli Yashin & Ivan Iachine & Alexander Begun, 2000. "Mortality modeling: A review," Mathematical Population Studies, Taylor & Francis Journals, vol. 8(4), pages 305-332.
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