A Note on First Passage Functionals for Lévy Processes with Jumps of Rational Laplace Transforms

This paper investigates the two-sided first exit problem for a jump process having jumps with rational Laplace transform. The corresponding boundary value problem is solved to obtain an explicit formula for the first passage functional. Also, we derive the distribution of the first passage time to t...

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Bibliographic Details
Main Author: Djilali Ait-Aoudia
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2016/5914657