The range of the mean-value quantities of planar tessellations-Reference-Cited by-同舟云学术

The range of the mean-value quantities of planar tessellations

Published:1987-06 Issue:2 Volume:24 Page:411-421
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:Journal of Applied Probability

Author:

Kendall Wilfrid S.,Mecke Joseph

Abstract

Many mean-value quantities of stationary random tessellations can be expressed in terms of three fundamental mean-value quantities. In this note we characterize the set of triples of mean values that can be realized, and show that every possible triple can arise from a suitable ergodic stationary isotropic tessellation.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference4 articles.

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2. Miles R. E. (1961) Random Polytopes: The Generalisation to n Dimensions of the Intervals of a Poisson Process. Ph.D. Thesis, Cambridge University.

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