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- Matérn_covariance_function abstract "In statistics, the Matérn covariance (named after the Swedish forestry statistician Bertil Matérn) is a covariance function used in spatial statistics, geostatistics, machine learning, image analysis, and other applications of multivariate statistical analysis on metric spaces. It is commonly used to define the statistical covariance between measurements made at two points that are d units distant from each other. Since the covariance only depends on distances between points, it is stationary. If the distance is Euclidean distance, the Matérn covariance is also isotropic.The Matérn covariance between two points separated by d distance units is given bywhere Γ is the gamma function, Kν is the modified Bessel function of the second kind, and ρ and ν are non-negative parameters of the covariance.A Gaussian process with Matérn covariance has sample paths that are times differentiable. As , the Matérn covariance converges to the squared exponential covariance functionWhen ν = 0.5, the Matérn covariance is identical to the exponential covariance function. Other cases are:".
- Matérn_covariance_function wikiPageID "23027812".
- Matérn_covariance_function wikiPageRevisionID "590577006".
- Matérn_covariance_function subject Category:Covariance_and_correlation.
- Matérn_covariance_function subject Category:Geostatistics.
- Matérn_covariance_function subject Category:Spatial_data_analysis.
- Matérn_covariance_function comment "In statistics, the Matérn covariance (named after the Swedish forestry statistician Bertil Matérn) is a covariance function used in spatial statistics, geostatistics, machine learning, image analysis, and other applications of multivariate statistical analysis on metric spaces. It is commonly used to define the statistical covariance between measurements made at two points that are d units distant from each other. Since the covariance only depends on distances between points, it is stationary.".
- Matérn_covariance_function label "Matérn covariance function".
- Matérn_covariance_function sameAs Mat%C3%A9rn_covariance_function.
- Matérn_covariance_function sameAs Covariance_de_Matérn.
- Matérn_covariance_function sameAs Q6792079.
- Matérn_covariance_function sameAs Q6792079.
- Matérn_covariance_function wasDerivedFrom Matérn_covariance_function?oldid=590577006.