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On the Simulation of General Multivariate Gamma Distributions using Dickman Approximations

Probability 2025-09-19 v2

Abstract

We derive a Dickman approximation for the small jumps of a large class of multivariate L\'evy 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.

Keywords

Cite

@article{arxiv.2404.00239,
  title  = {On the Simulation of General Multivariate Gamma Distributions using Dickman Approximations},
  author = {Michael Grabchak and Xingnan Zhang},
  journal= {arXiv preprint arXiv:2404.00239},
  year   = {2025}
}
R2 v1 2026-06-28T15:38:55.343Z