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Exchangeable mixture models for lifetimes: the role of "occupation numbers"

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  • Gerardi, Anna
  • Spizzichino, Fabio
  • Torti, Barbara

Abstract

We study several aspects of a special type of exchangeable distributions. These distributions arise when considering the lifetimes of the individuals in a population divided into d different subpopulations and there is a (symmetric) dependence among categories of single individuals. The role of "occupation numbers" in this context is highlighted.

Suggested Citation

  • Gerardi, Anna & Spizzichino, Fabio & Torti, Barbara, 2000. "Exchangeable mixture models for lifetimes: the role of "occupation numbers"," Statistics & Probability Letters, Elsevier, vol. 49(4), pages 365-375, October.
    • Handle: RePEc:eee:stapro:v:49:y:2000:i:4:p:365-375
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    References listed on IDEAS

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    1. James Vaupel & Kenneth Manton & Eric Stallard, 1979. "The impact of heterogeneity in individual frailty on the dynamics of mortality," Demography, Springer;Population Association of America (PAA), vol. 16(3), pages 439-454, August.
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    Cited by:

    1. Spizzichino, F. & Torrisi, G. L., 2001. "Multivariate negative aging in an exchangeable model of heterogeneity," Statistics & Probability Letters, Elsevier, vol. 55(1), pages 71-82, November.
    2. Balakrishnan, Narayanaswamy & Barmalzan, Ghobad & Haidari, Abedin, 2016. "Multivariate stochastic comparisons of multivariate mixture models and their applications," Journal of Multivariate Analysis, Elsevier, vol. 145(C), pages 37-43.
    3. Alonso Ruiz, Patricia & Rakitko, Alexander, 2016. "The limit theorem for maximum of partial sums of exchangeable random variables," Statistics & Probability Letters, Elsevier, vol. 119(C), pages 357-362.

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