Title

A complete poisson convergence result for a strongly dependent isotropic gaussian random field

Abstract

Let be an isotropic Gaussian random field with and correlation function where t =|t|. For the class of covariance functions r(t) having the integral representation introduced by Mittal (1976), we establish a weak convergence result for (d + 1) - dimensional point processes based on Xj is monotone for large t and is o(l)

Department(s)

Mathematics

Document Type

Article

DOI

https://doi.org/10.1080/15326349308807252

Keywords

extreme values, gaussian random fields, weak convergence, random measures, point processes

Publication Date

1993

Journal Title

Stochastic Models

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