Numerical method for expectations of piecewise-determistic Markov processes

Details Numerical method for expectations of piecewise-determistic Markov processes Numerical method for expectations of piecewise-determistic Markov processes

2011-05-04

arxiv.org/abs/1105.0839v2

Mathematics

Probability

41 pages

Scientific paper

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.

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