4. Covariance function

The covariance function is a second-order spatial descriptor.

Definition (covariance function). The two-point covariance function ( ${Cov}_{\tilde{X}}$ ) of a random closed set $\tilde{X}$ is expressed by means of its capacitive Choquet functional $T_{\tilde{X}}$ at a position

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Covariance function

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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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