Classes of compactly supported covariance functions for multivariate random fields

2014 ◽  
Vol 29 (4) ◽  
pp. 1249-1263 ◽  
Author(s):  
Daryl J. Daley ◽  
Emilio Porcu ◽  
Moreno Bevilacqua
Keyword(s):  
Random Fields ◽  
Compactly Supported ◽  
Covariance Functions

Matérn Cross-Covariance Functions for Multivariate Random Fields

2010 ◽  
Vol 105 (491) ◽  
pp. 1167-1177 ◽  
Author(s):  
Tilmann Gneiting ◽  
William Kleiber ◽  
Martin Schlather
Keyword(s):  
Random Fields ◽  
Covariance Functions ◽  
Cross Covariance

scholarly journals Wegner estimate for discrete Schrödinger operators with Gaussian random potentials

2019 ◽  
Vol 27 (1) ◽  
pp. 1-8 ◽  
Author(s):  
Martin Tautenhahn
Keyword(s):  
Conditional Distribution ◽  
Schrödinger Operators ◽  
Schrodinger Operators ◽  
Gaussian Random Process ◽  
Random Potentials ◽  
Wegner Estimate ◽  
Compactly Supported ◽  
Covariance Functions ◽  
Monotonicity Assumption ◽  
Discrete Schrödinger Operators

Abstract We prove a Wegner estimate for discrete Schrödinger operators with a potential given by a Gaussian random process. The only assumption is that the covariance function decays exponentially; no monotonicity assumption is required. This improves earlier results where abstract conditions on the conditional distribution, compactly supported and non-negative, or compactly supported covariance functions with positive mean are considered.

scholarly journals Families of covariance functions for bivariate random fields on spheres

2020 ◽  
Vol 40 ◽  
pp. 100448 ◽  
Author(s):  
Moreno Bevilacqua ◽  
Peter J. Diggle ◽  
Emilio Porcu
Keyword(s):  
Random Fields ◽  
Covariance Functions
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