[1]张 敏,张志民.马氏调节风险模型下的破产前盈余分布[J].江西师范大学学报(自然科学版),2016,40(06):608-612.
 ZHANG Min,ZHANG Zhimin.On the Distribution of the Surplus Before Ruin in a Markov-Modulated Risk Model[J].Journal of Jiangxi Normal University:Natural Science Edition,2016,40(06):608-612.
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马氏调节风险模型下的破产前盈余分布()
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《江西师范大学学报》(自然科学版)[ISSN:1006-6977/CN:61-1281/TN]

卷:
40
期数:
2016年06期
页码:
608-612
栏目:
出版日期:
2016-12-01

文章信息/Info

Title:
On the Distribution of the Surplus Before Ruin in a Markov-Modulated Risk Model
作者:
张 敏张志民
1.眉山职业技术学院,四川 眉山 620000; 2.重庆大学数学与统计学院,重庆 401331
Author(s):
ZHANG MinZHANG Zhimin
1.Meishan Vocational and Technical College,Meishan Sichuan 620000; 2.College of Mathematics and Statistics,Chongqing University,Chongqing 401331
关键词:
马氏调节风险模型 破产时刻 破产前盈余 破产时赤字 Dickson公式
Keywords:
Markov-modulated risk model time of ruin surplus before ruin deficit at ruin dickson’s formula
分类号:
O 211.6
摘要:
对在马氏调节风险过程中破产前盈余和破产时赤字的联合分布进行研究.该过程中的泊松索赔到达速率和索赔额分布随时间改变,并取决于1个潜在的马尔科夫跳过程的状态.推广了Dickson公式,并证明了破产前盈余的分布函数和密度函数均能由破产概率表示出来.
Abstract:
The joint distribution of the surplus before ruin and the deficit at ruin in a Markov-modulated risk process in which the rate for the Poisson claim arrivals and the distribution of the claim sizes vary in time depending on the state of an underlying(external)Markov jump process is studied.The Dickson’s formula from the classical risk model to the Markov-modulated risk model is extended and it is shown that both of the distribution function and density function of the surplus before ruin can be expressed in terms of the ruin probabilities.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2016-09-20基金项目:国家自然科学基金(11471058,11101451)和重庆市自然科学基金(CSTC2014JCYJA00007)资助项目.通信作者:张志民(1981-),男,河北石家庄人,副教授,博士,博士生导师,主要从事精算数学和风险模型的研究.
更新日期/Last Update: 1900-01-01