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Archimedean copula 1 Completely monotone functions 1 Davis–Resnick tail property 1 Dirichlet distribution 1 Gumbel distribution 1 Max-domain of attraction 1 Mixing 1 Perturbed risk model 1 Random scaling 1 Ruin probability 1 Weibull distribution 1 k-monotone functions 1
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Constantinescu, Corina 1 Hashorva, Enkelejd 1 Ji, Lanpeng 1
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Insurance: Mathematics and Economics 1
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Archimedean copulas in finite and infinite dimensions—with application to ruin problems
Constantinescu, Corina; Hashorva, Enkelejd; Ji, Lanpeng - In: Insurance: Mathematics and Economics 49 (2011) 3, pp. 487-495
In this paper we discuss the link between Archimedean copulas and L1 Dirichlet distributions for both finite and infinite dimensions. With motivation from the recent papers Weng et al. (2009) and Albrecher et al. (2011) we apply our results to certain ruin problems.
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