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首页> 外文期刊>Journal of applied statistics >Collinearity: revisiting the variance inflation factor in ridge regression
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Collinearity: revisiting the variance inflation factor in ridge regression

机译:共线性:在岭回归中重新讨论方差膨胀因子

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摘要

Ridge regression has been widely applied to estimate under collinearity by defining a class of estimators that are dependent on the parameter k. The variance inflation factor (VIF) is applied to detect the presence of collinearity and also as an objective method to obtain the value of k in ridge regression. Contrarily to the definition of the VIF, the expressions traditionally applied in ridge regression do not necessarily lead to values of VIFs equal to or greater than 1. This work presents an alternative expression to calculate the VIF in ridge regression that satisfies the aforementioned condition and also presents other interesting properties.
机译:通过定义一类依赖于参数k的估计量,岭回归已被广泛应用于共线性下的估计。方差膨胀因子(VIF)用于检测共线性的存在,并且作为获取岭回归中k值的客观方法。与VIF的定义相反,传统上在岭回归中使用的表达式不一定会导致VIF的值等于或大于1。此工作提出了一种替代表达式,可以在满足上述条件的情况下计算岭回归中的VIF,并且还满足呈现其他有趣的属性。

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