Estimation of entropy for Poisson marked point processes

Alonso-Ruiz; Spodarev

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arXiv · 1511.03830

Estimation of entropy for Poisson marked point processes

Alonso-Ruiz·Spodarev

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

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Alonso-Ruiz, Spodarev. 2016-08-06. Estimation of entropy for Poisson marked point processes. https://arxiv.org/abs/1511.03830

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