Gaussian vectors with Markov property
Probability
2020-09-16 v1 Metric Geometry
Abstract
We demonstrate the parallel between the properties of Gaussian vectors and the Euclidean geometry. In particular we study the Markov property and give various equivalent Euclidean and probabilistic characterizations. We also give a simple Euclidean proof of the conditional maximality of the differential entropy for the Markov Gaussian vector (related to the Burg's Theorem).
Keywords
Cite
@article{arxiv.2009.07137,
title = {Gaussian vectors with Markov property},
author = {Maciej P. Wojtkowski},
journal= {arXiv preprint arXiv:2009.07137},
year = {2020}
}