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A Random Effects Model for Multivariate Life Data

In: Lifetime Data: Models in Reliability and Survival Analysis

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  • Alan C. Kimber

    (University of Surrey, Department of Mathematical and Computing Sciences)

Abstract

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.

Suggested Citation

  • Alan C. Kimber, 1996. "A Random Effects Model for Multivariate Life Data," Springer Books, in: Nicholas P. Jewell & Alan C. Kimber & Mei-Ling Ting Lee & G. A. Whitmore (ed.), Lifetime Data: Models in Reliability and Survival Analysis, pages 167-174, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4757-5654-8_23
    DOI: 10.1007/978-1-4757-5654-8_23
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