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A test for discrete Boolean models∗

Published online by Cambridge University Press:  01 July 2016

Francisco Montes  and
Mario Plaza
Francisco Montes
Affiliation:
Universitat de València
Mario Plaza
Affiliation:
Universidad de Castilla-La Mancha
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Extract

For a discrete random set defined on a bounded subset B ⊂ ℤ2, the paper proposes a test for checking the Boolean hypothesis against its natural alternatives: models whose process of germs show a major tendency versus regularity or aggregation represented by a hardcore process or Poisson's cluster process. The test is based on the contents, T, of the difference XD - X, where X is the original model and XD = X ⊕ C is its dilation by the structurant element C.

Type
Stochastic Geometry and Statistical Applications
Information
Advances in Applied Probability , Volume 28 , Issue 2 , June 1996 , pp. 339 - 340
Copyright
Copyright © Applied Probability Trust 1996 

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References

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