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Estimation of the Size Distribution of Spherical Grains in the Boolean Model
Author(s) -
Molohanov Ilya S.
Publication year - 1990
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710320716
Subject(s) - mathematics , boolean model , distribution (mathematics) , estimation , radius , uniform distribution (continuous) , discrete mathematics , statistics , mathematical analysis , computer science , management , computer security , economics
A method of strong consistent estimation of the radius' distribution of spherical grains in the Boolean model in R d , d ≦3, is proposed. It is based on the evaluation of the empirical capacity functional and application of the Glivenko‐Cantelli theorem for random closed sets.