Numerical method for expectations of piecewise-determistic Markov processes
Probability
2012-01-31 v2
Abstract
We present a numerical method to compute expectations of functionals of a piecewise-deterministic Markov process. We discuss time dependent functionals as well as deterministic time horizon problems. Our approach is based on the quantization of an underlying discrete-time Markov chain. We obtain bounds for the rate of convergence of the algorithm. The approximation we propose is easily computable and is flexible with respect to some of the parameters defining the problem. Two examples illustrate the paper.
Cite
@article{arxiv.1105.0839,
title = {Numerical method for expectations of piecewise-determistic Markov processes},
author = {Adrien Brandejsky and Benoîte de Saporta and François Dufour},
journal= {arXiv preprint arXiv:1105.0839},
year = {2012}
}
Comments
41 pages