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Moment analysis of the Delaunay tessellation field estimator

2009/10/08 by M. N. M. van Lieshout, van Lieshout, M. N. M.
Mathematics · #FOS: Computer and information sciences #FOS: Mathematics #Methodology (stat.ME) #Statistics Theory (math.ST) #math.ST #stat.ME #stat.TH

paper · pdf · doi:10.48550/arxiv.0910.1473

arxiv created 2009/10/08 · arxiv updated 2009/12/01

Abstract

The Campbell--Mecke theorem is used to derive explicit expressions for the mean and variance of Schaap and Van de Weygaert's Delaunay tessellation field estimator. Special attention is paid to Poisson processes.

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