12. Random particle fields

12.1 Definition

Definition (particle random field). A particle random field, ${\tilde{X}}_{p}$ , is a random closed set equal to the union of a simple, locally finite collection of random compact sets ${({\tilde{X}}_{i})}_{i = 1 \dots + \infty}$ (p. 190 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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