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ON THE RUIN FUNCTIONS FOR A CORRELATED AGGREGATE CLAIMS MODEL WITH POISSON AND ERLANG RISK PROCESSES 被引量:11

ON THE RUIN FUNCTIONS FOR A CORRELATED AGGREGATE CLAIMS MODEL WITH POISSON AND ERLANG RISK PROCESSES
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摘要 This article considers a risk model as in Yuen et al. (2002). Under this model the two claim number processes are correlated. Claim occurrence of both classes relate to Poisson and Erlang processes. The formulae is derived for the distribution of the surplus immediately before ruin, for the distribution of the surplus immediately after ruin and the joint distribution of the surplus immediately before and after ruin. The asymptotic property of these ruin functions is also investigated. This article considers a risk model as in Yuen et al. (2002). Under this model the two claim number processes are correlated. Claim occurrence of both classes relate to Poisson and Erlang processes. The formulae is derived for the distribution of the surplus immediately before ruin, for the distribution of the surplus immediately after ruin and the joint distribution of the surplus immediately before and after ruin. The asymptotic property of these ruin functions is also investigated.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2006年第2期321-330,共10页 数学物理学报(B辑英文版)
基金 This work was supported in part by the National Natural Science Foundation of China (10071058, 70273029) the Ministry of Education of China.
关键词 Correlated aggregate claims Poisson process Erlang process ruin functions Correlated aggregate claims, Poisson process, Erlang process, ruin functions
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参考文献9

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