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Multivariate hazard orderings of discrete random vectors

Author

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  • Colangelo Antonio

    (Department of Economics, University of Insubria, Italy)

Abstract

The task of comparing two random vectors with respect to some multivariate stochastic ordering usually involves an infinite number of comparisons. Dyckerhoff and Mosler (1997) proved that, when the random vectors have finite supports, this task, for some orderings, can be simplified by considering only a small finite number of comparisons. In this paper we extend their results to two multivariate hazard rate stochastic orderings.

Suggested Citation

  • Colangelo Antonio, 2005. "Multivariate hazard orderings of discrete random vectors," Economics and Quantitative Methods qf05010, Department of Economics, University of Insubria.
    • Handle: RePEc:ins:quaeco:qf05010
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    File URL: https://www.eco.uninsubria.it/RePEc/pdf/QF2005_17.pdf
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    References listed on IDEAS

    as
    1. Hu, Taizhong & Khaledi, Baha-Eldin & Shaked, Moshe, 2003. "Multivariate hazard rate orders," Journal of Multivariate Analysis, Elsevier, vol. 84(1), pages 173-189, January.
    2. Colangelo, Antonio & Scarsini, Marco & Shaked, Moshe, 2006. "Some positive dependence stochastic orders," Journal of Multivariate Analysis, Elsevier, vol. 97(1), pages 46-78, January.
    3. Colangelo, Antonio & Scarsini, Marco & Shaked, Moshe, 2005. "Some notions of multivariate positive dependence," Insurance: Mathematics and Economics, Elsevier, vol. 37(1), pages 13-26, August.
    4. Karlin, Samuel & Rinott, Yosef, 1980. "Classes of orderings of measures and related correlation inequalities. I. Multivariate totally positive distributions," Journal of Multivariate Analysis, Elsevier, vol. 10(4), pages 467-498, December.
    5. Johnson, N. L. & Kotz, Samuel, 1975. "A vector multivariate hazard rate," Journal of Multivariate Analysis, Elsevier, vol. 5(1), pages 53-66, March.
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