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引用本文:����,�˹���,����,��Զ��. ���ڹ���FGM Copula���������Ŷ�����ģ���µ�Gerber-Shiu��������[J]. 应用概率统计, 2006, 35(4): 373-396. DOI: 10.3969/j.issn.1001-4268.2019.04.004
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作者单位:????????????????????, ????, 541004
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A Perturbed Risk Model with Dependence Based on a Generalized Farlie-Gumbel-Morgenstern Copula
YANG Long,DENG Guohe,YANG Li,HUANG Yuanmin. A Perturbed Risk Model with Dependence Based on a Generalized Farlie-Gumbel-Morgenstern Copula[J]. Chinese Journal of Applied Probability and Statisties, 2006, 35(4): 373-396. DOI: 10.3969/j.issn.1001-4268.2019.04.004
Authors:YANG Long  DENG Guohe  YANG Li  HUANG Yuanmin
Affiliation:School of Mathematics and Statistics, Guangxi Normal University, Guilin, 541004, China
Abstract:??In this paper, we consider a perturbed compound Poisson risk model with dependence, where the dependence structure for the claim size and the inter-claim time is modeled by a generalized Farlie-Gumbel-Morgenstern copula. The integro equations, the Laplace transforms and the defective renewal equations for the Gerber-Shiu functions are obtained. For exponential claims, some explicit expressions are obtained, and some numerical examples for the ruin probabilities are also provided.
Keywords:time-dependent claims   Gerber-Shiu function   Laplace transform   defective renewal equation   ruin probability  
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