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Linear least squares estimates and nonlinear means (Q1073491)

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scientific article; zbMATH DE number 3945070
Language Label Description Also known as
English
Linear least squares estimates and nonlinear means
scientific article; zbMATH DE number 3945070

    Statements

    title
    Linear least squares estimates and nonlinear means (English)
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    author
    R. Berger
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    Naftali A. Langberg
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    publication date
    1984
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    review text
    The consistency and asymptotic normality of a linear least squares estimate when the model is incorrect is investigated. The least squares estimate is a consistent estimate of the least linear approximation of the true mean function for the design chosen. The asymptotic normality of the least squares estimators depends on the design and the asymptotic mean may not be the best linear approximation of the true mean function.
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    zbMATH Keywords
    nonlinear means
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    model robustness
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    consistency
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    asymptotic normality
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    linear least squares estimate
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    asymptotic mean
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    best linear approximation of the true mean
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    Identifiers

    Mathematics Subject Classification ID
    62F12
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    62J05
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    62F35
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    62H12
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    zbMATH DE Number
    3945070
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    OpenAlex ID
    W2017641352
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