A new Liu-type estimator in linear regression model

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The VIF and MSE in Raise Regression (2020, methodology): “These methods are applied not only for the treatment of multicollinearity but also for the selection of variables (see, for example, Dupuis and Victoria-Feser [8], Li and Yang [9] Liu et al.”
Modified ridge‐type estimator to combat multicollinearity: Application to chemical data (2019, unknown): “Consequently, Δ bα1 − bα2 ð Þ 1⁄4 MSEM bα1 ð Þ −MSEM bα2 ð Þ 1⁄4 σ2Dþ b1b′1 − b2b′2 > 0 (14)”
A Modified New Two-Parameter Estimator in a Linear Regression Model (2019, methodology): “Based on prior information, Li and Yang [7] proposed a modified Liu estimator (MLE): βMLE(d, b) � X′X + I( −1 X′X + dI( βOLS +(1− d)b .”