A Non-Homogeneous Continuous Time Semi-Markov Model for the Study of Accumulated Claim Process

被引:0
作者
Di Biase, Giuseppe [1 ]
Janssen, Jacques [2 ,3 ]
Manca, Raimondo [4 ]
机构
[1] Univ G DAnnunzio, I-66100 Chieti, Italy
[2] Univ Bretagne Occidentale, EURIA Brest, F-29238 Brest 3, France
[3] Univ Bretagne Occidentale, JACAN Tubize, F-29238 Brest 3, France
[4] Univ Roma La Sapienza, I-00161 Rome, Italy
关键词
Semi-Markov; Reward; Risk theory;
D O I
10.1007/s11009-009-9138-2
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
The accumulated claim process is the summed total of all claims starting from time t. The semi-Markov environment, at authors' opinion, is able to follow the evolution of this process. In the paper a continuous time non-homogeneous semi-Markov model with a denumerable set of states will be used to follow the stochastic evolution of the accumulated claim process.
引用
收藏
页码:227 / 235
页数:9
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