Parametric representation of mean values for stationary random mosaies
Author:
J. Mecke a
| Affiliation: | a Sektion Mathematik, Friedrich-Schiller-University, Jena, DDR |
DOI:
10.1080/02331888408801794
Publication Frequency:
6 issues per year
Subjects:
Mathematical Statistics;
Statistical Theory & Methods;
Statistics;
Statistics for the Biological Sciences;
Stochastic Models & Processes;
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Abstract
Mean values referring to stationary random 2- or 3-dimensional, mosaics are considered, e.g. the mean number of vertices per unit volume, the mean content of the typical cell, the mean perimeter of the typical face, the mean number of emanating edges of the typical vertex etc, A parametric representation of some mean values is given in
order to explain the relations between them, The parameters of the superposition of two independent isotropic random mosaics are evaluated |
| Keywords: Random mosaic; random tesselation; random polygon; random polyhedron; manifold process random set mean value relations typical random object ergodie limit-stochastic geometry |
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