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Large sample properties of cross-validation assessment statistics - MaRDI portal

Large sample properties of cross-validation assessment statistics (Q1094026)

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scientific article; zbMATH DE number 4024509
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English
Large sample properties of cross-validation assessment statistics
scientific article; zbMATH DE number 4024509

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    Large sample properties of cross-validation assessment statistics (English)
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    1986
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    Asymptotic properties are developed for two classes of cross-validation assessment statistics. The two correspond to a large number of small partition sets and a small number of large partition sets. Conditions implying weak convergence, strong convergence, and asymptotic normality are presented for each class. A discriminant analysis misclassification estimator and a regression analysis estimator of absolute error are used to illustrate the general theory.
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    U-statistics
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    consistency
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    cross-validation assessment statistics
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    large number of small partition sets
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    small number of large partition sets
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    weak convergence
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    strong convergence
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    asymptotic normality
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    discriminant analysis misclassification estimator
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    regression analysis estimator of absolute error
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