Size–biased random closed sets
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摘要
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).
论文关键词：Contact distribution function,Empty space function,Granulometry,Hanisch style estimator,Markov random set,Morphological opening and closing,Size distribution function
论文评审过程：Received 18 September 1998, Revised 23 October 1998, Accepted 23 October 1998, Available online 7 June 2001.
论文官网地址：https://doi.org/10.1016/S0031-3203(99)00025-4
