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On the Performance of Principal Component Liu‐Type Estimator under the Mean Square Error Criterion

Jibo Wu

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

Abstract: Wu (2013) proposed an estimator, principal component Liu‐type estimator, to overcome multicollinearity. This estimator is a general estimator which includes ordinary least squares estimator, principal component regression estimator, ridge estimator, Liu estimator, Liu‐type estimator, r‐k class estimator, and r‐d class estimator. In this paper, firstly we use a new method to propose the principal component Liu‐type estimator; then we study the superior of the new estimator by using the scalar mean squares error criterion. Finally, we give a numerical example to show the theoretical results.

Date: 2013
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https://doi.org/10.1155/2013/858794

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:858794

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