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In statistics, the Matérn covariance, also called the Matérn kernel, 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 named after the Swedish forestry statistician Bertil Matérn. It specifies the covariance between two measurements as a function of the distance between the points at which they are taken. Since the covariance only depends on distances between points, it is stationary. If the distance is Euclidean distance, the Matérn covariance is also isotropic.

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  • Covariance de Matérn (fr)
  • Matérn covariance function (en)
  • 马特恩协方差函数 (zh)
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  • In statistics, the Matérn covariance, also called the Matérn kernel, 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 named after the Swedish forestry statistician Bertil Matérn. It specifies the covariance between two measurements as a function of the distance between the points at which they are taken. Since the covariance only depends on distances between points, it is stationary. If the distance is Euclidean distance, the Matérn covariance is also isotropic. (en)
  • En statistique, la fonction de covariance de Matérn, nommée d'après Bertil Matérn, est une fonction de covariance utilisée dans l'analyse statistique des espaces métriques. (fr)
  • 马特恩协方差函数（英語：Matérn covariance function）是统计学中的一个协方差函数，其名称源于瑞典林业统计学家马特恩（Bertil Matérn）。该函数在空间统计学、、机器学习、图像分析以及其他度量空间上的多变量统计分析中都有着广泛的应用。它常被用于定义两点测量值之间的协方差。由于该协方差只取决于两点间的距离，因而是平稳的。如使用欧几里得距离来定义距离，此时的马特恩协方差函数是各向同性的。 (zh)
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  • In statistics, the Matérn covariance, also called the Matérn kernel, 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 named after the Swedish forestry statistician Bertil Matérn. It specifies the covariance between two measurements as a function of the distance between the points at which they are taken. Since the covariance only depends on distances between points, it is stationary. If the distance is Euclidean distance, the Matérn covariance is also isotropic. (en)
  • En statistique, la fonction de covariance de Matérn, nommée d'après Bertil Matérn, est une fonction de covariance utilisée dans l'analyse statistique des espaces métriques. (fr)
  • 马特恩协方差函数（英語：Matérn covariance function）是统计学中的一个协方差函数，其名称源于瑞典林业统计学家马特恩（Bertil Matérn）。该函数在空间统计学、、机器学习、图像分析以及其他度量空间上的多变量统计分析中都有着广泛的应用。它常被用于定义两点测量值之间的协方差。由于该协方差只取决于两点间的距离，因而是平稳的。如使用欧几里得距离来定义距离，此时的马特恩协方差函数是各向同性的。 (zh)
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