On the precision of some stereological estimators for the model parameter of the spatial Poisson-Voronoi tessellation
Ute Hahn,
TU Bergakademie Freiberg, Institut für Stochastik, Bernhard-von-Cotta-Straβe 2, D-09596 Freiberg, Germany
Udo Lorz,
TU Bergakademie Freiberg, Institut für Stochastik, Bernhard-von-Cotta-Straβe 2, D-09596 Freiberg, Germany
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
Pour citer cet 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.uliege.be/0351-580x/index.php?id=4663.