Prediction Law of Mixed Gaussian Volterra Processes
Probability
2019-04-23 v1 Pricing of Securities
Abstract
We study the regular conditional law of mixed Gaussian Volterra processes under the influence of model disturbances. More precisely, we study prediction of Gaussian Volterra processes driven by a Brownian motion in a case where the Brownian motion is not observable, but only a noisy version is observed. As an application, we discuss how our result can be applied to variance reduction in the presence of measurement errors.
Keywords
Cite
@article{arxiv.1904.09799,
title = {Prediction Law of Mixed Gaussian Volterra Processes},
author = {Tommi Sottinen and Lauri Viitasaari},
journal= {arXiv preprint arXiv:1904.09799},
year = {2019}
}
Comments
60G15; 60G25