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.uliege.be/0351-580x/index.php?id=1992.