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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
Published in: journal Statistics, Volume 15, Issue 3 1984 , pages 437 - 442
Formats available: PDF (English)
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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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