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A Random Effects Model for Multivariate Life Data

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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.

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© 1996 Springer Science+Business Media Dordrecht

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Kimber, A.C. (1996). A Random Effects Model for Multivariate Life Data. In: Jewell, N.P., Kimber, A.C., Lee, ML.T., Whitmore, G.A. (eds) Lifetime Data: Models in Reliability and Survival Analysis. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-5654-8_23

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  • DOI: https://doi.org/10.1007/978-1-4757-5654-8_23

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-4753-6

  • Online ISBN: 978-1-4757-5654-8

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