Stationary covariances associated with exponentially convex functions

Werner Ehm*, Marc G. Genton, Tilmann Gneiting

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

34 Scopus citations


We establish a bijection between exponentially convex functions and entire positive definite functions, and extend Loève's construction of stochastic processes associated with them. As an application, we derive parametric covariance models for locally stationary random fields.

Original languageEnglish (US)
Pages (from-to)607-615
Number of pages9
Issue number4
StatePublished - Aug 2003
Externally publishedYes


  • Characteristic function
  • Exponential family
  • Exponentially convex
  • Laplace transform
  • Locally stationary
  • Positive definite
  • Random field

ASJC Scopus subject areas

  • Statistics and Probability


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