Acta Stereologica Acta Stereologica -  Volume 10 (1991)  Number 2 - Stermat '90 (part II) - Dec. 1991 

Stereological model tests for the spatial Poisson-Voronoi tessellation

Rhena Krawietz
Bergakademie Freiberg, Fachbereich Werkstoffwissenschaft, Gustav-Zeuner-Str. 7, D-O-9200 Freiberg, FRG
Udo Lorz
Bergakademie Freiberg, Fachbereich Mathematik, Bernhard-von-Cotta-Str. 2, D-O-9200 Freiberg, FRG

Abstract

For the spatial POISSON-VORONOI tessellation, five stereological model tests based on the distribution of the number of cell vertices in random plane sections are proposed. For some chosen sample sizes the quantiles of the distribution of the test variables are estimated by simulation. The power of the model tests is investigated under some special parametric alternative hypotheses. Finally, an application to single-phase alumina ceramics is given.

Keywords : model test, random plane section, spatial Poisson-Voronoi tessellation, stereology, stochastic geometry

To cite this article

Rhena Krawietz & Udo Lorz, «Stereological model tests for the spatial Poisson-Voronoi tessellation», Acta Stereologica [En ligne], Volume 10 (1991), Number 2 - Stermat '90 (part II) - Dec. 1991, 203-212 URL : https://popups.ulg.ac.be/0351-580x/index.php?id=1992.