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On Some Characteristics of Anisotropic Fibre Processes

✍ Scribed by Viktor Beneš; Joël Chadœuf; Joachim Ohser

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
508 KB
Volume
169
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

This paper derives properties of various estimators of length intensity of stationary random fibre processes in R^d.^ The projections of the process onto R^1^ and intersections with a system of parallel (d ‐ 1)‐dimensional hyperplanes are studied. The estimation variances are expressed by means of pair correlation functions of appropriate random measures. The results are formulated for the anisotropic models in arbitrary dimension. Explicit formulas are obtained for the anistropic Boolean segment process.

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