A Random Effects Model for Multivariate Life Data

  • Alan C. Kimber


The Weibull distribution is a natural starting point in the modelling of failure times and material strength data. In recent years there has been a growing interest in the modelling of heterogeneity within this context. A natural approach is to consider a mixture, either discrete or continuous, of Weibull distributions. A judicious choice of mixing distribution can lead to a tractable and flexible generalization of the Weibull distribution. An example is the Burr distribution, which is a gamma mixture of Weibull distributions, and this is used in the paper to illustrate the approach. Some relevant statistical methods are introduced and various applications are discussed.


Random Effect Model Weibull Distribution Failure Time Weibull Model Covariate Information 
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Copyright information

© Springer Science+Business Media Dordrecht 1996

Authors and Affiliations

  • Alan C. Kimber
    • 1
  1. 1.Department of Mathematical and Computing SciencesUniversity of SurreyGuildford, SurreyUK

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