Polynomial covariance functions on intervals

Sinjini Mitra; Tilmann Gneiting; Zolt\'an Sasv\'ari

doi:10.3150/bj/1068128976

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Home > Journals > Bernoulli > Volume 9 > Issue 2 > Article

April 2003 Polynomial covariance functions on intervals

Sinjini Mitra, Tilmann Gneiting, Zolt\'an Sasv\'ari

Author Affiliations +

Sinjini Mitra,¹ Tilmann Gneiting,² Zolt\'an Sasv\'ari³
¹Carnegie Mellon University, Department of Statistics
²University of Washington, Department of Statistics
³Technische Universität Dresden, Institut für Mathematische Stochastik

Bernoulli 9(2): 229-241 (April 2003). DOI: 10.3150/bj/1068128976

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Abstract

A characteriztion is presented of the class of stationary processes that have polynomial covariance functions of degree less than or equal to 4 on an interval. The results extend to isotropic random fields and have applications in spatial statistics.

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Sinjini Mitra. Tilmann Gneiting. Zolt\'an Sasv\'ari. "Polynomial covariance functions on intervals." Bernoulli 9 (2) 229 - 241, April 2003. https://doi.org/10.3150/bj/1068128976