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Modified and Restricted r-k Class Estimators

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  • Gülesen Üstündağ Şiray

Abstract

In this article, we introduce the modified r-k class estimator and the restricted r-k class estimator. We compare the performances of the new estimators to the r-k class estimator with respect to the matrix mean square error (MSE) criterion. As a special case of the restricted r-k class estimator, we obtain the restricted principal components regression (RPCR) estimator. Finally, we conduct a Monte Carlo simulation study and a numerical example to investigate the performances of the proposed estimators by the scalar mean square error (mse) criterion.

Suggested Citation

  • Gülesen Üstündağ Şiray, 2014. "Modified and Restricted r-k Class Estimators," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 43(24), pages 5130-5155, December.
    • Handle: RePEc:taf:lstaxx:v:43:y:2014:i:24:p:5130-5155
    DOI: 10.1080/03610926.2012.744050
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