Tempered Hermite process

A tempered Hermite process modifies the power law kernel in the time domain representation of a Hermite process by multiplying an exponential tempering factor $\lambda >0$ such that the process is well defined for Hurst parameter $H>\frac{1}{2}$. A tempered Hermite process is the weak converge...

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Bibliographic Details
Main Author: Farzad Sabzikar
Format: Article
Language:English
Published: VTeX 2015-09-01
Series:Modern Stochastics: Theory and Applications
Subjects:
Online Access:https://vmsta.vtex.vmt/doi/10.15559/15-VMSTA34
Description
Summary:A tempered Hermite process modifies the power law kernel in the time domain representation of a Hermite process by multiplying an exponential tempering factor $\lambda >0$ such that the process is well defined for Hurst parameter $H>\frac{1}{2}$. A tempered Hermite process is the weak convergence limit of a certain discrete chaos process.
ISSN:2351-6046
2351-6054