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Algebraic foundation of mathematical statistics 2
Authors:NN ?encov
Institution:1. Sektion Mathematik , Friedrich-Schiller-Universit?t , Jena, DDR - 69UHH;2. Sektion Mathematik , Bergakademi Freiberg , Freiberg, DDK - 92
Abstract:In the paper fibre processes are considered, i.e. discrete sets of curves distributed at random in the plane. For translation invariant fibre processes the PALM distribution of the angle in a typical fibre point is defined, and point processes are studied which are obtained by intersection with lines. As a special case motion invariant, i.e. translation invariant and isotropic, fibre processes are treated. Finally weighted fibre processes are considered. As example segment processes are investigated.
Keywords:Planar fibre process  random measure  Palm distribution  stereology
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