Random Sets and Integral Geometry |
Contents
NOTATION | 1 |
THE RANDOM CLOSED SETS RACS | 27 |
INDEFINITELY DIVISIBLE RANDOM CLOSED SETS IDRACS | 54 |
Copyright | |
8 other sections not shown
Common terms and phrases
admits associated ball belongs bounded Chapter characterized Choquet Clearly closed set compact set condition consider contained continuous Conversely convex convex set Corollary corresponding defined definition denote density direction distribution elements equivalent euclidean space exists expectation extension finite fixed follows formula function given grains granulometry hand Hence hits holds hyperplane identical identified implies included increasing independent induced infinite integral intersection invariant isotropic Lemma linear mapping measure Minkowski sum Moreover neighborhood Note o-finite obtain Obviously open set particular Poisson positive possible probability Proof Proposition prove RACS random random variable relationship representation resp respect satisfied separable sequence smallest space stationary Steiner subset supporting suppose taking Theorem tion topology translation true union unique unit valued vector verify