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Maxima of sums and random sums for negatively associated random variables with heavy tails

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  • Wang, Dingcheng
  • Tang, Qihe

Abstract

This paper obtains some asymptotics for the tail probabilities of the maximum of sums and random sums of negatively associated (NA) random variables with heavy tails, showing that the NA dependence structure does not affect the asymptotic behavior of these tail probabilities.

Suggested Citation

  • Wang, Dingcheng & Tang, Qihe, 2004. "Maxima of sums and random sums for negatively associated random variables with heavy tails," Statistics & Probability Letters, Elsevier, vol. 68(3), pages 287-295, July.
    • Handle: RePEc:eee:stapro:v:68:y:2004:i:3:p:287-295
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    References listed on IDEAS

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    1. Ng, K.W. & Tang, Q.H. & Yang, H., 2002. "Maxima of Sums of Heavy-Tailed Random Variables," ASTIN Bulletin, Cambridge University Press, vol. 32(1), pages 43-55, May.
    2. Rob Kaas & Qihe Tang, 2003. "Note on the Tail Behavior of Random Walk Maxima with Heavy Tails and Negative Drift," North American Actuarial Journal, Taylor & Francis Journals, vol. 7(3), pages 57-61.
    3. Tang, Qihe & Tsitsiashvili, Gurami, 2003. "Precise estimates for the ruin probability in finite horizon in a discrete-time model with heavy-tailed insurance and financial risks," Stochastic Processes and their Applications, Elsevier, vol. 108(2), pages 299-325, December.
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    Cited by:

    1. Liu, Yan, 2007. "Precise large deviations for negatively associated random variables with consistently varying tails," Statistics & Probability Letters, Elsevier, vol. 77(2), pages 181-189, January.
    2. Liu, Li, 2009. "Precise large deviations for dependent random variables with heavy tails," Statistics & Probability Letters, Elsevier, vol. 79(9), pages 1290-1298, May.
    3. Alessio Sancetta, 2009. "Strong law of large numbers for pairwise positive quadrant dependent random variables," Statistical Inference for Stochastic Processes, Springer, vol. 12(1), pages 55-64, February.
    4. Zhang, Chenhua, 2014. "Uniform asymptotics for the tail probability of weighted sums with heavy tails," Statistics & Probability Letters, Elsevier, vol. 94(C), pages 221-229.

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