Some properties of the Hellinger transform and its application in classification problems (Q1921212)

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scientific article; zbMATH DE number 915117
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Some properties of the Hellinger transform and its application in classification problems
scientific article; zbMATH DE number 915117

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    Some properties of the Hellinger transform and its application in classification problems (English)
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    11 August 1996
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    Explicit formulas for the Hellinger transforms are derived for the multidimensional AR(1) Gaussian processes and for one-dimensional Ornstein-Uhlenbeck processes. Upper and lower bounds are provided for the Hellinger transforms in the general discrete time case. An application to bound the probability of misclassification is also given.
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    autoregressive process
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    Hellinger transforms
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    Ornstein-Uhlenbeck processes
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