Some exact results on Lindley process with Laplace jumps

Emanuele Lucrezia; Laura Sacerdote; Cristina Zucca

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arXiv · 2310.11879

Some exact results on Lindley process with Laplace jumps

Emanuele Lucrezia·Laura Sacerdote·Cristina Zucca

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Abstract

We consider a Lindley process with Laplace distributed space increments. We obtain closed form recursive expressions for the density function of the position of the process and for its first exit time distribution from the domain $[0,h]$. We illustrate the results in terms of the parameters of the process. The work is completed by an open source version of the software.

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Emanuele Lucrezia, Laura Sacerdote, Cristina Zucca. 2023-10-18. Some exact results on Lindley process with Laplace jumps. https://arxiv.org/abs/2310.11879

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