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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.

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