Discrete Dynamics in Nature and Society
Volume 2013 (2013), Article ID 128796, 8 pages
http://dx.doi.org/10.1155/2013/128796
Research Article

Studies on a Double Poisson-Geometric Insurance Risk Model with Interference

Yujuan Huang1 and Wenguang Yu2

1School of Science, Shandong Jiaotong University, Jinan 250023, China
2School of Insurance, Shandong University of Finance and Economics, Jinan 250014, China

Received 11 January 2013; Accepted 5 March 2013

Academic Editor: Hua Su

Copyright © 2013 Yujuan Huang and Wenguang Yu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper mainly studies a generalized double Poisson-Geometric insurance risk model. By martingale and stopping time approach, we obtain adjustment coefficient equation, the Lundberg inequality, and the formula for the ruin probability. Also the Laplace transformation of the time when the surplus reaches a given level for the first time is discussed, and the expectation and its variance are obtained. Finally, we give the numerical examples.