Moments of discounted dividend payments in a risk model with randomized dividend-decision times

Moments of discounted dividend payments in a risk model with randomized dividend-decision times
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具有随机股息决策时间的风险模型中股息支付贴现时刻

DOI:
10.1007/s11464-016-0609-9
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发表时间:
2017-04
影响因子:
--
通讯作者:
Chaolin Liu
Chaolin Liu
中科院分区:
数学4区
文献类型:
--
作者:
Zhimin Zhang;Chaolin Liu

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考虑了带随机分红决策时间的带扰动复合Poisson风险模型。与经典的障碍分红策略不同,保险公司在一些离散的时间点(称为分红决策时间)做出是否支付红利的决策。假设在每个股利决策时刻,如果盈余大于障碍b> 0,则超额价值将作为股利支付。在这样的股利策略下,我们研究了破产前已支付的折现股利总额的矩的计算。
We consider a perturbed compound Poisson risk model with randomized dividend-decision times. Different from the classical barrier dividend strategy, the insurance company makes decision on whether or not paying off dividends at some discrete time points (called dividend-decision times). Assume that at each dividend-decision time, if the surplus is larger than a barrierb> 0; the excess value will be paid off as dividends. Under such a dividend strategy, we study how to compute the moments of the total discounted dividend payments paid off before ruin.
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