Standard Article

Random Fields, Nonparametric Methods

Statistical Theory and Methods

  1. Dag Tjøstheim

Published Online: 15 JAN 2013

DOI: 10.1002/9780470057339.vnn092

Encyclopedia of Environmetrics

Encyclopedia of Environmetrics

How to Cite

Tjøstheim, D. 2013. Random Fields, Nonparametric Methods. Encyclopedia of Environmetrics. 5.

Author Information

  1. University of Bergen, Bergen, Norway

Publication History

  1. Published Online: 15 JAN 2013


An overview is given of nonparametric methods in random fields including estimation of the density, the autocovariance, the specrum, and nonlinear additive models. The difference between expanding domain asymptotics and infill asymptotics is highlighted. Throughout the article similarities and differences relative to time series modeling are pinpointed.


  • additive model;
  • autocovariance;
  • density;
  • nonlinearity;
  • regular grid;
  • spectrum