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The thinned plantation

Published online by Cambridge University Press:  01 July 2016

Susannah Brown  and
Philip Holgate
Susannah Brown
Affiliation:
London School of Economics
Philip Holgate
Affiliation:
Birkbeck College
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Extract

A point process is obtained by considering a square lattice of side p½, 0 < p ≦ 1, and supposing that each lattice point contains a point of the process or does not independently, with probabilities p and 1 – p. The family of processes thus includes the deterministic lattice for p = 1, and has the Poisson as a limit as p → 0.

Type
Spatial Pattern
Information
Advances in Applied Probability , Volume 7 , Issue 3 , September 1975 , pp. 451
Copyright
Copyright © Applied Probability Trust 1975 

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References

Brown, S. and Holgate, P. (1974) The thinned plantation. Biometrika 61, 253–261.Google Scholar