Stochastic Geometry |
Common terms and phrases
a₁ arbitrary avoidance function Baire set Borel sets c-traps canonical model condition convex corresponding countable covariance measure D. G. Kendall defined definition denote density disjoint distribution domain doubly stochastic Poisson equation equivalent ergodic Euclidean example finite fixed follows formula Fubini's theorem given hence implies independent inequality infinite integral geometry intersection interval invariant Kakutani kth order Lebesgue measure Lemma line-processes M. S. Bartlett Math mixed Poisson process name-class non-negative number of points o-algebra o-field P(dw P₁ plane planned path point-process polygons polytope positive probability measure Proof properties random closed set random measure random sets random variable real line s-flats sampling satisfies second-order stationary Section sequence space standard modification Statistical stochastic process strictly stationary subset subshapes Suppose T-closed sets T-closure tessellation Theorem theory topology traps unique unlabelled shapes w₁ weak incidence function zero