Acta Stereologica

0351-580X

 

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Ute Hahn & Udo Lorz

On the precision of some stereological estimators for the model parameter of the spatial Poisson-Voronoi tessellation

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Abstract

Four different stereological estimators for the model parameter τ of the spatial Poisson-Voronoi tessellation are compared with respect to their bias and variance by means of a Monte-Carlo study. Formulae are given for variance prediction. An estimator based on vertex counting is found to be the best one. Robustness is investigated by applying the estimators to Voronoi tessellations with respect to other generating point processes.

Keywords : parameter estimation, spatial Poisson-Voronoi tessellation, stereology

To cite this article

Ute Hahn & Udo Lorz, «On the precision of some stereological estimators for the model parameter of the spatial Poisson-Voronoi tessellation», Acta Stereologica [En ligne], Volume 13 (1994), Number 1 - Proceedings of the sixth European congress for stereology - Part two - May 1994, 245-250 URL : https://popups.ulg.ac.be/0351-580x/index.php?id=4663.

About: Ute Hahn

TU Bergakademie Freiberg, Institut für Stochastik, Bernhard-von-Cotta-Straβe 2, D-09596 Freiberg, Germany

About: Udo Lorz

TU Bergakademie Freiberg, Institut für Stochastik, Bernhard-von-Cotta-Straβe 2, D-09596 Freiberg, Germany