English

On the representation of an integrated Gauss-Markov process

Probability 2017-07-20 v3

Abstract

We find a representation of the integral of a Gauss-Markov process in the interval [0, t], in terms of Brownian motion. Moreover, some connections with first-passagetime problems are discussed, and some examples are reported.

Keywords

Cite

@article{arxiv.1307.5970,
  title  = {On the representation of an integrated Gauss-Markov process},
  author = {Mario Abundo},
  journal= {arXiv preprint arXiv:1307.5970},
  year   = {2017}
}

Comments

This is a new, revised version which corrects an error in the previous version