Asymptotic Tail Probabilities of Sums of Dependent Subexponential Random Variables
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DOI: 10.1007/s10959-008-0159-5
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- 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.
- Søren Asmussen & Serguei Foss & Dmitry Korshunov, 2003. "Asymptotics for Sums of Random Variables with Local Subexponential Behaviour," Journal of Theoretical Probability, Springer, vol. 16(2), pages 489-518, April.
- 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.
- Geluk, Jaap, 2004. "Asymptotics in the symmetrization inequality," Statistics & Probability Letters, Elsevier, vol. 69(1), pages 63-68, August.
- Serguei Foss & Takis Konstantopoulos & Stan Zachary, 2007. "Discrete and Continuous Time Modulated Random Walks with Heavy-Tailed Increments," Journal of Theoretical Probability, Springer, vol. 20(3), pages 581-612, September.
- Tang, Qihe & Vernic, Raluca, 2007. "The impact on ruin probabilities of the association structure among financial risks," Statistics & Probability Letters, Elsevier, vol. 77(14), pages 1522-1525, August.
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Keywords
Asymptotic tail probability; Convolution; Dominated variation; Farlie-Gumbel-Morgenstern family; Subexponentiality;All these keywords.
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