Estimation of entropy for Poisson marked point processes

Alonso-Ruiz, Spodarev

Published 2015-11-12Version 1

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. $L^2$ and almost surely consistency of this estimator as well as its asymptotic normality are investigated.