Stochastic geometry : Random point fields with Matérn kernel

Random point fields with Matérn kernel
Stochastic geometry

Author : Jean-Charles PINOLI

Publication date: October 10, 2016 | Lire en français

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11. Random point fields with Matérn kernel

11.1 Random point fields with generalized Matérn kernels

Definition (generalized Matérn's random point field, 1960). A generalized Matérn's random point field, ${\tilde{X}}_{M g}$ , is constructed from: a first stationary Poisson random point field ${\tilde{X}}_{P}$ of constant spatial density

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Bibliography

(1) - ARTSTEIN (Z.), VITALE (R. A.) - A strong law for large numbers for random compact sets, - The Annals of Probability, Vol. 3, N° 5, pp. 879-882, (1975).
(2) - BADDELEY (A. J) - A crash course in stochastic geometry....

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Random point fields with Matérn kernel Stochastic geometry

11. Random point fields with Matérn kernel

11.1 Random point fields with generalized Matérn kernels

Bibliography

Random point fields with Matérn kernel
Stochastic geometry