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Inequalities for the cells of mixed stationary Poisson hyperplane tessellations

Published online by Cambridge University Press:  01 July 2016

Joseph Mecke
Joseph Mecke*
Affiliation:
University of Jena
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Extract

Let Y be a mixed stationary Poisson hyperplane tessellation with finite intensity in the d-dimensional Euclidean space and Y′ a stationary Poisson hyperplane tessellation with the same intensity and directional distribution as Y. Denote by D0, D0′ the cells of Y, Y′ respectively containing a fixed point x0 and by V(D0), V(D0′) their volumes.

Type
Stochastic Geometry and Statistical Applications
Information
Advances in Applied Probability , Volume 28 , Issue 2 , June 1996 , pp. 338
Copyright
Copyright © Applied Probability Trust 1996 

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References

[1] Mecke, J. (1995) Inequalities for the anisotropic Poisson polytope. Adv. Appl. Prob. 27, 56–62.CrossRefGoogle Scholar