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Evaluation of the predictive performance of the r-k and r-d class estimators

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ABSTRACT Multiple linear regression models are frequently used in predicting unknown values of the response variable y. In this case, a regression model's ability to produce an adequate prediction equation… Click to show full abstract

ABSTRACT Multiple linear regression models are frequently used in predicting unknown values of the response variable y. In this case, a regression model's ability to produce an adequate prediction equation is of prime importance. This paper discusses the predictive performance of the r-k and r-d class estimators compared to ordinary least squares (OLS), principal components, ridge regression and Liu estimators and between each other. The theoretical results are illustrated using Portland cement data and a region is established where the r-k and the r-d class estimators are uniformly superior to the other mentioned estimators.

Keywords: class; performance class; predictive performance; class estimators; evaluation predictive

Journal Title: Communications in Statistics - Theory and Methods
Year Published: 2017

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