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On the stereological estimation of reduced moment measures
Authors:E B Jensen  K Kiêu  H J G Gundersen
Institution:(1) Institute of Mathematics, Aarhus University, Ny Munkegade, DK-8000 Aarhus C, Denmark;(2) Institut National de la Recherche Agronomique, Biométrie, Domain Saint-Paul, 84140 Montfavet, France;(3) Stereological Research Laboratory, Aarhus University, DK-8000 Aarhus C, Denmark
Abstract:Recently, a new set of fundamental stereological formulae based on isotropically oriented probes through fixed points have been derived, the so-called ldquonucleatorrdquo estimation principle (cf. Jensen and Gundersen (1989, J. Microsc., 153, 249–267)). In the present paper, it is shown how a model-based version of these formulae leads to stereological estimators of reduced moment measures of stationary and isotropic random sets in Ropf n .
Keywords:Boolean model  Hausdorff measures  marked point processes  measure decomposition  moment measures  stereology  stochastic geometry
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