Generalized contact distributions of inhomogeneous Boolean models

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چکیده

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Generalized contact distributions of inhomogeneous Boolean models

The main purpose of this work is to study and apply generalized contact distributions of (inhomogeneous) Boolean models Z with values in the extended convex ring. Given a convex body L ⊂ Rd and a gauge body B ⊂ Rd such a generalized contact distribution is the conditional distribution of the random vector (dB(L,Z), uB(L,Z), pB(L,Z), lB(L,Z)) given that Z ∩L = ∅, where Z is a Boolean model, dB(L...

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ژورنال

عنوان ژورنال: Advances in Applied Probability

سال: 2002

ISSN: 0001-8678,1475-6064

DOI: 10.1017/s000186780001137x