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Boolean Models: Maximum Likelihood Estimation from Circular Clumps
Author(s) -
Ayala G.,
Ferrándiz J.,
Montes F.
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.4710320112
Subject(s) - boolean model , mathematics , point process , poisson distribution , radius , maximum likelihood , poisson point process , monte carlo method , statistics , point (geometry) , sample size determination , poisson process , statistical physics , computer science , physics , geometry , computer security
Abstract This paper deals with the problem of making inferences on the maximum radius and the intensity of the Poisson point process associated to a Boolean Model of circular primary grains with uniformly distributed random radii. The only sample information used is observed radii of circular clumps (DUPAC, 1980). The behaviour of maximum likelihood estimation has been evaluated by means of Monte Carlo methods.