Performance of the New Ridge Regression Parameters
Mowafaq Muhammed Al-Kassab, Mohammed Qasim Al-Awjar
Abstract
Mowafaq Muhammed Al-Kassab, Mohammed Qasim Al-Awjar
Abstract
A new approach is presented to find the ridge parameter k when the multiple regression model suffers from multicollinearity. This approach studied two cases, for the value k, scalar, and matrix. A comparison between this proposed ridge parameter and other well-known ridge parameters evaluated elsewhere, in terms of the mean squares error criterion, is given. Examples from several research papers are conducted to illustrate the optimality of this proposed ridge parameter k.
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A new approach is presented to find the ridge parameter k when the multiple regression model suffers from multicollinearity. This approach studied two cases, for the value k, scalar, and matrix. A comparison between this proposed ridge parameter and other well-known ridge parameters evaluated elsewhere, in terms of the mean squares error criterion, is given. Examples from several research papers are conducted to illustrate the optimality of this proposed ridge parameter k.
Key concepts: Multicollinearity, Ridge, Mathematics, Regression, Scalar (mathematics), Statistics, Elastic net regularization, Regression analysis