Generalized Hermite process: Tempering, properties and applications

Araya Héctor ()
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Araya Héctor: Facultad de Ingeniería y Ciencias, Universidad Adolfo Ibáñez, Santiago, Chile

Monte Carlo Methods and Applications, 2025, vol. 31, issue 1, 75-90

Abstract: In this work, we introduce a new process by modifying the kernel in the time domain representation of the generalized Hermite process. This modification is constructed by means of multiplication of the kernel in the time definition of the process by an exponential tempering factor λ > 0 {\lambda>0} such that this new process is well defined. Several properties of the process are studied.

Keywords: Non-Gaussian; generalized Hermite process; tempering; Wiener chaos; limit theorem (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:bpj:mcmeap:v:31:y:2025:i:1:p:75-90:n:1006

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DOI: 10.1515/mcma-2025-2003

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