8. Cox random point fields

Definition (Cox's random point field, 1955). A Cox' random point field, ${\tilde{X}}_{C}$ , also known as a doubly stochastic Poisson random point field, is a generalization of a Poisson random point field in which the intensity measure itself becomes random, ${\tilde{Λ}}_{{\tilde{X}}_{C}}$ , as in the case where the random density function

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Neyman-Scott random point fields

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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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