Hostname: page-component-78c5997874-t5tsf Total loading time: 0 Render date: 2024-11-20T00:57:00.173Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] Gousias, J. (1992) Morphological analysis of discrete random shapes. J. Math. Imag. Vis. 2, 193–215.Google Scholar
[2] Hall, P. (1988) Introduction to the Theory of Coverage Processes. Wiley, New York.Google Scholar
[3] Matheron, G. (1975) Random Sets and Integral Geometry. Wiley, New York.Google Scholar
[4] Plaza, M. and Montes, F. (1992) Un contraste en modelos de germen y grano. QÜESTIIÓ 16, 117–133.Google Scholar
[5] Plaza, M. and Montes, F. (1993) A test in germ-grain models. SPA93, Amsterdam.Google Scholar
[6] Sidiropoulos, N. D., Baras, J. S. and Berenstein, C. A. (1994) Algebraic analysis of the generating functional for discrete random sets and statistical inference for intensity in the discrete Boolean random-set model. J. Math. Imag. Vis. 4, 273–290.CrossRefGoogle Scholar