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Estimation of entropy for Poisson marked point processes

  • P. Alonso-Ruiz (a1) and E. Spodarev (a2)
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. We investigate L 2 and the almost surely consistency of this estimator as well as its asymptotic normality.

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Copyright
Corresponding author
* Current address: Department of Mathematics, University of Connecticut, 341 Mansfield Road, Unit 1009, Storrs, CT 06269-1009, USA. Email address: patricia.alonso-ruiz@uconn.edu
** Postal address: Ulm University, Helmholtzstr. 18, 89081 Ulm, Germany. Email address: evgeny.spodarev@uni-ulm.de
References
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Advances in Applied Probability
  • ISSN: 0001-8678
  • EISSN: 1475-6064
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