Size-biased random closed sets

M.N.M. Lieshout, van

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    We indicate how granulometries may be useful in the analysis of random sets. We define a suitable size distribution function as a tool in exploratory data analysis and give a new Hanisch style estimator for it. New Markov random sets are constructed which favour certain sizes above others. A size-biased random set model is fitted to a data set concerning the incidence of heather (Diggle, Biometrics 37 (1981) 531–539).
    Original languageEnglish
    Pages (from-to)1631-1644
    Number of pages14
    JournalPattern Recognition
    Issue number9
    Publication statusPublished - 1999


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