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Two-Sided First Exit Problem for Jump Diffusion Distribution Processes Having Jumps with a Mixture of Erlang

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DOI: 10.4236/am.2013.48153    3,615 Downloads   6,786 Views   Citations

ABSTRACT

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Y. Wen and C. Yin, "Two-Sided First Exit Problem for Jump Diffusion Distribution Processes Having Jumps with a Mixture of Erlang," Applied Mathematics, Vol. 4 No. 8, 2013, pp. 1142-1153. doi: 10.4236/am.2013.48153.

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