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Weibull extension of bivariate exponential regression model with different frailty distributions

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Abstract

We propose bivariate Weibull regression model with frailty in which dependence is generated by a gamma or positive stable or power variance function distribution. We assume that the bivariate survival data follows bivariate Weibull of Hanagal (Econ Qual Control 19:83–90, 2004; Econ Qual Control 20:143–150, 2005a; Stat Pap 47:137–148, 2006a; Stat Methods, 2006b). There are some interesting situations like survival times in genetic epidemiology, dental implants of patients and twin births (both monozygotic and dizygotic) where genetic behavior (which is unknown and random) of patients follows known frailty distribution. These are the situations which motivate to study this particular model.

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Authors and Affiliations

  1. Department of Statistics and Probability, Michigan State University, East Lansing, MI, 48824, USA

    David D. Hanagal

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  1. David D. Hanagal
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Correspondence to David D. Hanagal.

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David D. Hanagal is on leave from Department of Statistics, University of Pune, Pune 411007, India.

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Hanagal, D.D. Weibull extension of bivariate exponential regression model with different frailty distributions. Stat Papers 50, 29–49 (2009). https://doi.org/10.1007/s00362-007-0057-4

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  • DOI: https://doi.org/10.1007/s00362-007-0057-4

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