English

Moments of continuous-state branching processes with or without immigration

Probability 2017-03-01 v1

Abstract

For a positive continuous function f satisfying some standard conditions, we study the f-moments of continuous-state branching processes with or without immigration. The main results give criteria for the existence of the f-moments. The characterization of the processes in terms of stochastic equations given by Dawson and Li (2012) plays an essential role in the proofs.

Keywords

Cite

@article{arxiv.1702.08698,
  title  = {Moments of continuous-state branching processes with or without immigration},
  author = {Lina Ji and Zenghu Li},
  journal= {arXiv preprint arXiv:1702.08698},
  year   = {2017}
}