5. Spatial statistical functions

The covariance function has limited discriminatory power.

Distance-based methods for the Euclidean d ₂ metric of $ℝ^{n}$ provide the most accessible spatial statistics, such as Ripley functions or contact distribution functions with a gauge set.

5.1 Ripley functions

For a general random closed set $\tilde{X}$ (non-empty), the Euclidean distance

You do not have access to this resource.

Exclusive to subscribers. 97% yet to be discovered!

You do not have access to this resource. Click here to request your free trial access!

Already subscribed? Log in!

Ongoing reading
Spatial statistical functions

Previous
page Covariance function

Random point models

Article included in this offer

"Mathematics"

( 165 articles )

Complete knowledge base

Updated and enriched with articles validated by our scientific committees

Services

A set of exclusive tools to complement the resources

View offer details

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...

You do not have access to this resource.

Exclusive to subscribers. 97% yet to be discovered!

You do not have access to this resource. Click here to request your free trial access!

Already subscribed? Log in!