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Estimation of entropy for Poisson marked point processes

Published online by Cambridge University Press:  17 March 2017

P. Alonso-Ruiz*
Ulm University
E. Spodarev*
Ulm University
* Current address: Department of Mathematics, University of Connecticut, 341 Mansfield Road, Unit 1009, Storrs, CT 06269-1009, USA. Email address:
** Postal address: Ulm University, Helmholtzstr. 18, 89081 Ulm, Germany. Email address:
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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. We investigate L2 and the almost surely consistency of this estimator as well as its asymptotic normality.

Research Article
Copyright © Applied Probability Trust 2017 


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