9. Neyman-Scott random point fields

By replacing each point of a Poisson random point field by an aggregate of points, random in number and i.i.d. dispersed, a new random point field is constructed and given the name Neyman-Scott random point field .

Definition (Neyman-Scott's random point field, 1952, 1958). A Neyman-Scott's random point field, ${\tilde{X}}_{NS}$ , is constructed from an initial stationary Poisson random point field of...

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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. - In : Stochastic...

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