On the simulation of general multivariate gamma distributions using Dickman approximations

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.

Authors

Institutions

Publication Details

Journal
Computational Statistics
Published
2026-03-28
DOI
https://doi.org/10.1007/s00180-026-01725-7
Primary Topic
Financial Risk and Volatility Modeling
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

On the simulation of general multivariate gamma distributions using Dickman approximations

Michael Grabchak, Xingnan Zhang
Computational Statistics
Financial Risk and Volatility Modeling
article

On the simulation of general multivariate gamma distributions using Dickman approximations

Michael Grabchak, Xingnan Zhang
article en

Abstract

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.

Computational StatisticsVol. 41(3)
University of North Carolina at Charlotte (US)
Openalex Percentile: Top 4%
Financial Risk and Volatility Modeling
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.