Gaussian approximation for functionals of Gibbs particle processes

Title:

Gaussian approximation for functionals of Gibbs particle processes

Creator:

Flimmel, Daniela and Beneš, Viktor

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:7f8a805d-3103-4cf7-bb90-ea93cd4ee690
uuid:7f8a805d-3103-4cf7-bb90-ea93cd4ee690
doi:10.14736/kyb-2018-4-0765

Subject:

asymptotics of functionals, innovation, stationary Gibbs particle process, Wasserstein distance, and Wasserstein distance

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In the paper asymptotic properties of functionals of stationary Gibbs particle processes are derived. Two known techniques from the point process theory in the Euclidean space Rd are extended to the space of compact sets on Rd equipped with the Hausdorff metric. First, conditions for the existence of the stationary Gibbs point process with given conditional intensity have been simplified recently. Secondly, the Malliavin-Stein method was applied to the estimation of Wasserstein distance between the Gibbs input and standard Gaussian distribution. We transform these theories to the space of compact sets and use them to derive a Gaussian approximation for functionals of a planar Gibbs segment process.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Source:

Kybernetika | 2018 Volume:54 | Number:4

Harvested from:

CDK

Metadata only:

false