English

Unified representation of formulas for single birth processes

Probability 2014-11-25 v1

Abstract

Based on a new explicit representation of the solution to the Poisson equation with respect to single birth processes, the unified treatment for various criteria on classical problems (including uniqueness, recurrence, ergodicity, exponential ergodicity, strong ergodicity, as well as extinction probability etc.) for the processes are presented.

Keywords

Cite

@article{arxiv.1411.6099,
  title  = {Unified representation of formulas for single birth processes},
  author = {Mu-Fa Chen and Yu-Hui Zhang},
  journal= {arXiv preprint arXiv:1411.6099},
  year   = {2014}
}

Comments

Some modifications are made in this version

R2 v1 2026-06-22T07:08:18.105Z