English

Some martingale characterizations of compound mixed Poisson processes

Probability 2020-04-20 v1

Abstract

Some martingale characterizations of compound mixed Poisson processes are proven, extending S. Watanabe's (1964) martingale characterization of Poisson processes as well as the main result of Lyberopoulos and Macheras (2012), concerning martingale characterizations of mixed Poisson processes.

Cite

@article{arxiv.2004.07835,
  title  = {Some martingale characterizations of compound mixed Poisson processes},
  author = {Demetrios P. Lyberopoulos and Nikolaos D. Macheras},
  journal= {arXiv preprint arXiv:2004.07835},
  year   = {2020}
}

Comments

11 pages. arXiv admin note: substantial text overlap with arXiv:1905.07629

R2 v1 2026-06-23T14:54:15.036Z