Ergodic properties for \alpha-CIR models and a class of generalized Fleming-Viot processes
Probability
2014-07-18 v2
Abstract
We discuss a Markov jump process regarded as a variant of the CIR (Cox-Ingersoll-Ross) model and its infinite-dimensional extension. These models belong to a class of measure-valued branching processes with immigration, whose jump mechanisms are governed by certain stable laws. The main result gives a lower spectral gap estimate for the generator. As an application, a certain ergodic property is shown for the generalized Fleming-Viot process obtained as the time-changed ratio process.
Keywords
Cite
@article{arxiv.1307.2407,
title = {Ergodic properties for \alpha-CIR models and a class of generalized Fleming-Viot processes},
author = {Kenji Handa},
journal= {arXiv preprint arXiv:1307.2407},
year = {2014}
}
Comments
30 pages. to appear in Electronic Journal of Probability