English

Bi-Poisson process

Probability 2007-06-14 v1

Abstract

We study a two parameter family of processes with linear regressions and linear conditional variances. We give conditions for the unique solution of this problem, and point out the connection between the resulting Markov processes and the generalized convolutions introduced by Bo\.zejko and Speicher.

Cite

@article{arxiv.math/0404241,
  title  = {Bi-Poisson process},
  author = {Wlodzimierz Bryc and Jacek Wesolowski},
  journal= {arXiv preprint arXiv:math/0404241},
  year   = {2007}
}

Comments

12 pages, 2 figures