Back to Search Start Over

THE NON-RUIN PROBABILITY FOR THE RISK RESERVE PROCESS WITH EXPONENTIAL TYPE CLAIMS

Authors :
Kishikawa, Ayumi
Doi, Makoto
Source :
Taiwanese J. Math. 13, no. 4 (2009), 1343-1352
Publication Year :
2009
Publisher :
The Mathematical Society of the Republic of China, 2009.

Abstract

In this paper, we consider the risk reserve process with claims. In order to have the non-ruin probability in finite time, we use the skeleton process studied by T.Mikosch. Furthermore, we find a general formula that derives the non-ruin probability for the model in which the claim inter-arrival time has an exponential distribution and the claim size has an exponential distribution with distinct rate.

Details

ISSN :
10275487
Volume :
13
Database :
OpenAIRE
Journal :
Taiwanese Journal of Mathematics
Accession number :
edsair.doi.dedup.....2eeeaddbefb537544f06b4c09a99017a