The local approximation of variograms in \(\mathcal R^2\) by covariance functions (Q2566719)

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The local approximation of variograms in \(\mathcal R^2\) by covariance functions
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    The local approximation of variograms in \(\mathcal R^2\) by covariance functions (English)
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    28 September 2005
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    The author considers intrinsically stationary random processes in \(R^2\) with continuous variograms that grow slower than quadratically. For any such variogram, disc in \(R^2\) and \(\varepsilon,\) a second-order stationary process can be found that is independent at large lags, but has a variogram that comes within \(\varepsilon\) of the original variogram within the disc. Detailed discussion is given.
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    kriging
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    intrinsic stationarity
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    variogram
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    spatial statistics
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