Large deviations for a damped telegraph process

Alessandro De Gregorio; Claudio Macci

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arXiv · 1310.7332

Large deviations for a damped telegraph process

Alessandro De Gregorio·Claudio Macci

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Abstract

In this paper we consider a slight generalization of the damped telegraph process in Di Crescenzo and Martinucci (2010). We prove a large deviation principle for this process and an asymptotic result for its level crossing probabilities (as the level goes to infinity). Finally we compare our results with the analogous well-known results for the standard telegraph process.

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Alessandro De Gregorio, Claudio Macci. 2013-10-28. Large deviations for a damped telegraph process. https://arxiv.org/abs/1310.7332

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