English

Inversion formula for infinitely divisible distributions

Probability 2021-03-10 v1

Abstract

The aim of this note is to prove the inversion formula, which can be used to compute the Levi measure of an infinitely divisible distribution from its characteristic function. Obtained formula is similar to the well-known inversion formula [2], which is used to compute the distribution function of a random variable from the corresponding characteristic function.

Keywords

Cite

@article{arxiv.2103.00205,
  title  = {Inversion formula for infinitely divisible distributions},
  author = {Evgeny Burnaev},
  journal= {arXiv preprint arXiv:2103.00205},
  year   = {2021}
}

Comments

2 pages

R2 v1 2026-06-23T23:34:00.069Z