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Construction of a criterion for testing hypotheses about the covariance function of a Gaussian homogeneous isotropic field (Q2737033)

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scientific article; zbMATH DE number 1645101
Language Label Description Also known as
English
Construction of a criterion for testing hypotheses about the covariance function of a Gaussian homogeneous isotropic field
scientific article; zbMATH DE number 1645101

    Statements

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    11 September 2001
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    homogeneous and isotropic Gaussian random field
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    correlation function
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    covariance function
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    hypothesis testing
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    Construction of a criterion for testing hypotheses about the covariance function of a Gaussian homogeneous isotropic field (English)
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    This paper deals with the homogeneous and isotropic mean square continuous Gaussian random fields. Estimations for supremum of square-Gaussian random fields are obtained. Further, estimations for the correlation function of the homogeneous and isotropic Gaussian random field are given. And finally, the criterion of hypothesis testing with respect to the covariance function of the Gaussian random field are formulated with the help of estimations for the correlation function.
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