A note on Wiener-Hopf factorization for Markov Additive processes
Probability
2011-10-19 v2
Abstract
We prove the Wiener-Hopf factorization for Markov Additive processes. We derive also Spitzer-Rogozin theorem for this class of processes which serves for obtaining Kendall's formula and Fristedt representation of the cumulant matrix of the ladder epoch process. Finally, we also obtain the so-called ballot theorem.
Cite
@article{arxiv.0906.1223,
title = {A note on Wiener-Hopf factorization for Markov Additive processes},
author = {Przemyslaw Klusik and Zbigniew Palmowski},
journal= {arXiv preprint arXiv:0906.1223},
year = {2011}
}