DOAJ Open Access 2022

Approximating the First Passage Time Density of Diffusion Processes with State-Dependent Jumps

Giuseppe D’Onofrio Alessandro Lanteri

Abstrak

We study the problem of the first passage time through a constant boundary for a jump diffusion process whose infinitesimal generator is a nonlocal Jacobi operator. Due to the lack of analytical results, we address the problem using a discretization scheme for simulating the trajectories of jump diffusion processes with state-dependent jumps in both frequency and amplitude. We obtain numerical approximations on their first passage time probability density functions and results for the qualitative behavior of other statistics of this random variable. Finally, we provide two examples of application of the method for different choices of the distribution involved in the mechanism of generation of the jumps.

Topik & Kata Kunci

Thermodynamics Mathematics Analysis

Penulis (2)

Giuseppe D’Onofrio

Alessandro Lanteri

Format Sitasi

APA MLA BibTeX

D’Onofrio, G., Lanteri, A. (2022). Approximating the First Passage Time Density of Diffusion Processes with State-Dependent Jumps. https://doi.org/10.3390/fractalfract7010030

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Informasi Jurnal

Tahun Terbit: 2022
Sumber Database: DOAJ
DOI: 10.3390/fractalfract7010030
Akses: Open Access ✓