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Prediction of the maximum size in Wicksell’s corpuscle problem. II. (English) Zbl 1078.62525
Summary: This is a continuing paper of the authors [Ann. Inst. Stat. Math. 50, No. 2, 361–377 (1998; Zbl 0986.62075)]. In the Wicksell corpuscle problem, the maximum size of random spheres in a volume part is to be predicted from the sectional circular distribution of spheres cut by a plane. The size of the spheres is assumed to follow the three-parameter generalized gamma distribution. Prediction methods based on the moment estimation are proposed and their performances are evaluated by simulation. For a practically probable case, one of these prediction methods is as good as a method previously proposed by the authors where the two shape parameters are assumed to be known.

62M30 Inference from spatial processes
60D05 Geometric probability and stochastic geometry
62M99 Inference from stochastic processes
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