Occupation times of generalized Ornstein-Uhlenbeck processes with two-sided exponential jumps

Jiang Zhou; Lan Wu

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arXiv · 1603.07528

Occupation times of generalized Ornstein-Uhlenbeck processes with two-sided exponential jumps

Jiang Zhou·Lan Wu

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Abstract

For an Ornstein-Uhlenbeck process driven by a double exponential jump diffusion process, we obtain formulas for the joint Laplace transform of it and its occupation times. The approach used is remarkable and can be extended to investigate the occupation times of an Ornstein-Uhlenbeck process driven by a more general Levy process.

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BibTeX RIS

Jiang Zhou, Lan Wu. 2016-03-24. Occupation times of generalized Ornstein-Uhlenbeck processes with two-sided exponential jumps. https://arxiv.org/abs/1603.07528

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