English

On a class of space-time intrinsic random functions

Statistics Theory 2013-03-20 v1 Statistics Theory

Abstract

Power law generalized covariance functions provide a simple model for describing the local behavior of an isotropic random field. This work seeks to extend this class of covariance functions to spatial-temporal processes for which the degree of smoothness in space and in time may differ while maintaining other desirable properties for the covariance functions, including the availability of explicit convergent and asymptotic series expansions.

Keywords

Cite

@article{arxiv.1303.4620,
  title  = {On a class of space-time intrinsic random functions},
  author = {Michael L. Stein},
  journal= {arXiv preprint arXiv:1303.4620},
  year   = {2013}
}

Comments

Published in at http://dx.doi.org/10.3150/11-BEJ405 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statistical Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm)

R2 v1 2026-06-21T23:44:28.641Z