Estimation of entropy for Poisson marked point processes Academic Article uri icon

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.

author list (cited authors)

  • Alonso-Ruiz, P., & Spodarev, E.

citation count

  • 3

publication date

  • March 2017