On the Simulation of General Multivariate Gamma Distributions using Dickman Approximations

Fuente: arXiv
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Autori principali: Grabchak, Michael, Zhang, Xingnan
Natura: Preprint
Pubblicazione: 2024
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author Grabchak, Michael
Zhang, Xingnan
author_facet Grabchak, Michael
Zhang, Xingnan
contents We derive a Dickman approximation for the small jumps of a large class of multivariate Lévy processes. We then apply this approximation to develop a simulation method for the class of general multivariate gamma distributions (GMGD). A small-scale simulation study suggests that this method works very well.
format Preprint
id arxiv_https___arxiv_org_abs_2404_00239
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On the Simulation of General Multivariate Gamma Distributions using Dickman Approximations
Grabchak, Michael
Zhang, Xingnan
Probability
We derive a Dickman approximation for the small jumps of a large class of multivariate Lévy processes. We then apply this approximation to develop a simulation method for the class of general multivariate gamma distributions (GMGD). A small-scale simulation study suggests that this method works very well.
title On the Simulation of General Multivariate Gamma Distributions using Dickman Approximations
topic Probability
url https://arxiv.org/abs/2404.00239