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THE DISTRIBUTION OF STOCHASTIC SHRINKAGE PARAMETERS IN RIDGE REGRESSION
Abstract:ABSTRACT

In this article we derive the density and distribution functions of the stochastic shrinkage parameters of three well known operational Ridge Regression (RR) estimators by assuming normality. The stochastic behavior of these parameters is likely to affect the properties of the resulting RR estimator, therefore such knowledge can be useful in the selection of the shrinkage rule. Some numerical calculations are carried out to illustrate the behavior of these distributions, throwing light on the performance of the different RR estimators.
Keywords:Biased estimation  Collinearity  Density function  Distribution function  Ridge regression  Shrinkage parameters
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