Estimation of entropy for Poisson marked point processes
Probability
2016-08-09 v2
Abstract
In this paper, a kernel estimator of the differential entropy of the mark distribution of a homogeneous Poisson marked point process is proposed. The marks have an absolutely continuous distribution on a compact Riemannian manifold without boundary. and almost surely consistency of this estimator as well as its asymptotic normality are investigated.
Cite
@article{arxiv.1511.03830,
title = {Estimation of entropy for Poisson marked point processes},
author = {Alonso-Ruiz and Spodarev},
journal= {arXiv preprint arXiv:1511.03830},
year = {2016}
}
Comments
24 pages, revised version, to appear in Advances in Applied probability 49.1