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The compression LS estimate of regression coefficient in multivariate linear model - MaRDI portal

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The compression LS estimate of regression coefficient in multivariate linear model (Q1333840)

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scientific article; zbMATH DE number 640377
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English
The compression LS estimate of regression coefficient in multivariate linear model
scientific article; zbMATH DE number 640377

    Statements

    The compression LS estimate of regression coefficient in multivariate linear model (English)
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    6 February 1995
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    Compression least squares estimation of the regression coefficients is considered when the design matrix is near singularity in a multivariate linear model. The mean square error of the estimator is shown to be less than the mean square error of the least squares estimator of the regression coefficients by choosing proper tuning numbers. Besides, admissibility, numerical stability and relative efficiency of the compression least squares estimate are investigated, and a method of selecting the tuning number for practical use is suggested.
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    ridge estimation
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    compression least squares estimation
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    regression coefficients
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    multivariate linear model
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    mean square error
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    least squares estimator
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    tuning numbers
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    numerical stability
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    relative efficiency
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