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Max-sum equivalence of conditionally dependent random variables

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  • Jiang, Tao
  • Gao, Qingwu
  • Wang, Yuebao

Abstract

In this paper, we prove the max-sum equivalence of random variables satisfying two conditional dependence assumptions. Besides, we also discuss the interrelationship between the above two conditional dependence assumptions. The obtained results improve and generalize some existing results.

Suggested Citation

  • Jiang, Tao & Gao, Qingwu & Wang, Yuebao, 2014. "Max-sum equivalence of conditionally dependent random variables," Statistics & Probability Letters, Elsevier, vol. 84(C), pages 60-66.
    • Handle: RePEc:eee:stapro:v:84:y:2014:i:c:p:60-66
    DOI: 10.1016/j.spl.2013.09.031
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    References listed on IDEAS

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    1. Serguei Foss & Andrew Richards, 2010. "On Sums of Conditionally Independent Subexponential Random Variables," Mathematics of Operations Research, INFORMS, vol. 35(1), pages 102-119, February.
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    4. Lin, Jianxi & Wang, Yuebao, 2012. "New examples of heavy-tailed O-subexponential distributions and related closure properties," Statistics & Probability Letters, Elsevier, vol. 82(3), pages 427-432.
    5. Asmussen, Søren & Rojas-Nandayapa, Leonardo, 2008. "Asymptotics of sums of lognormal random variables with Gaussian copula," Statistics & Probability Letters, Elsevier, vol. 78(16), pages 2709-2714, November.
    6. Liu, Xijun & Gao, Qingwu & Wang, Yuebao, 2012. "A note on a dependent risk model with constant interest rate," Statistics & Probability Letters, Elsevier, vol. 82(4), pages 707-712.
    7. Dominik Kortschak & Hansjörg Albrecher, 2009. "Asymptotic Results for the Sum of Dependent Non-identically Distributed Random Variables," Methodology and Computing in Applied Probability, Springer, vol. 11(3), pages 279-306, September.
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    Cited by:

    1. Hashorva, Enkelejd & Kortschak, Dominik, 2014. "Tail asymptotics of random sum and maximum of log-normal risks," Statistics & Probability Letters, Elsevier, vol. 87(C), pages 167-174.

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