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Two-sided first exit problem for jump diffusion processes having jumps with rational Laplace transforms
WEN Yu-Zhen,YIN Chuan-Cun *
School of Mathematical Sciences, Qufu Normal University, Qufu 273165
*Correspondence author
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Funding: The National Natural Science Foundation of China(No.Grant No. 11171179), the Research Fund for the Doctoral Program of Higher Education of China(No.No. 20093705110002), the Natural Science Foundation ofShandong Province (No.No. ZR2010AQ015)
Opened online:20 March 2013
Accepted by: none
Citation: WEN Yu-Zhen,YIN Chuan-Cun.Two-sided first exit problem for jump diffusion processes having jumps with rational Laplace transforms[OL]. [20 March 2013] http://en.paper.edu.cn/en_releasepaper/content/4529693
 
 
In this paper, we consider the two-sided first exit problem for jump diffusion processes having jumps with rational Laplace transforms. We investigate the probabilistic property of conditional memorylessness, and drive the joint distribution of the first exit time from an interval and the overshoot over the boundary at the exit time.
Keywords:Applied probability; Jump diffusion; Compound Poisson process; First exit time; Two-sided jumps; Rational Laplace transform; Overshoot
 
 
 

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