Random marked sets

Veronika Kralova · Digital Repository (National Repository of Grey Literature) · 2016

In this thesis, two models of marked point processes are investigated. One of the marks have a continuous distribution on a compact Riemannian manifold. The von Mises distribution and its properties are studied. Metropolis-Hastings algorithm of Markov chain Monte Carlo method is used for the simulation of Gibbs segment process. Takacs-Fiksel estimator and its modified version are examined. A kernel density estimator and entropy estimator are proposed and applied to simulated and real data. Powered by TCPDF (www.tcpdf.org)

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