STATISTICS OF THE BOOLEAN MODEL - FROM THE ESTIMATION OF MEANS TO THEESTIMATION OF DISTRIBUTIONS

Authors
MOLCHANOV IS
Citation
Is. Molchanov, STATISTICS OF THE BOOLEAN MODEL - FROM THE ESTIMATION OF MEANS TO THEESTIMATION OF DISTRIBUTIONS, Advances in Applied Probability, 27(1), 1995, pp. 63-86
Citations number
40
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
Advances in Applied Probability → ACNP
ISSN journal
00018678
Volume
27
Issue
1
Year of publication
1995
Pages
63 - 86
Database
ISI
SICI code
0001-8678(1995)27:1<63:SOTBM->2.0.ZU;2-T
Abstract
Non-parametric estimators of the distribution of the grain of the Bool ean model are considered. The technique is based on the study of point processes of tangent points in different directions related to the Bo olean model. Their second- and higher-order characteristics are used t o estimate the mean body and the distribution of the typical grain. Ce ntral limit theorems for the improved estimator of the intensity and s urface measures of the Boolean model are also proved.