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Dependence in failure times due to environmental factors

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  • Frostig, Esther
  • Denuit, Michel

Abstract

In many applications, common factors influence a set of failure (or survival) times of interest. This is, for instance, the case in mortality analysis, where mortality is influenced by socio-economic and health factors, or in the analysis of time-to-failure observations, where the items are functioning under similar conditions. This paper aims to answer the following question: is it true that more positively dependent factors generate more positively dependent outcomes? The analysis is conducted with the help of various stochastic order relations.

Suggested Citation

  • Frostig, Esther & Denuit, Michel, 2009. "Dependence in failure times due to environmental factors," Statistics & Probability Letters, Elsevier, vol. 79(4), pages 487-495, February.
    • Handle: RePEc:eee:stapro:v:79:y:2009:i:4:p:487-495
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    References listed on IDEAS

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    1. Massimo Marinacci & Luigi Montrucchio, 2003. "Ultramodular functions," ICER Working Papers - Applied Mathematics Series 13-2003, ICER - International Centre for Economic Research.
    2. Hesselager, Ole, 1995. "Order relations for some distributions," Insurance: Mathematics and Economics, Elsevier, vol. 16(2), pages 129-134, May.
    3. Alfred Müller, 2001. "Stochastic Ordering of Multivariate Normal Distributions," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 53(3), pages 567-575, September.
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    Cited by:

    1. Khaledi, Baha-Eldin & Shaked, Moshe, 2010. "Stochastic comparisons of multivariate mixtures," Journal of Multivariate Analysis, Elsevier, vol. 101(10), pages 2486-2498, November.

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