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The Palm-type grain size distribution in stationary grain models

Published online by Cambridge University Press:  14 July 2016

Dieter König  and
Volker Schmidt
Dieter König*
Affiliation:
Bergakademie Freiberg
Volker Schmidt*
Affiliation:
Bergakademie Freiberg
*
∗ Postal address: Department of Mathematics, Mining Academy of Freiberg, DDR-9200 Freiberg, Bernhard-von-Cotta-Str. 2, German Democratic Republic.
∗ Postal address: Department of Mathematics, Mining Academy of Freiberg, DDR-9200 Freiberg, Bernhard-von-Cotta-Str. 2, German Democratic Republic.
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Abstract

In this paper a point-process approach is given for determining the Palm-type (number-weighted) distribution of the size factor of the grains of a stationary grain model in the plane with non-overlapping, identically shaped and identically orientated convex grains starting from a suitably chosen characteristic of the grain model observed in fixed points of the plane.

Keywords

STOCHASTIC GEOMETRYSTATIONARY GRAIN MODELMARKED POINT PROCESSESGRAIN SIZENUMBER-WEIGHTED DISTRIBUTIONAREA-WEIGHTED DISTRIBUTIONSTEREOLOGICAL FORMULAS
Type
Research Papers
Information
Journal of Applied Probability , Volume 20 , Issue 3 , September 1983 , pp. 574 - 584
Copyright
Copyright © Applied Probability Trust 1983 

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References

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