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Original Articles

A note on combining ridge and principal component regression

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Pages 2489-2493 | Received 01 Apr 1985, Published online: 27 Jun 2007

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Read on this site (9)

Mahdi Roozbeh & Mohammad Najarian. (2018) Efficiency of the QR class estimator in semiparametric regression models to combat multicollinearity. Journal of Statistical Computation and Simulation 88:9, pages 1804-1825.
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Saman Babaie-Kafaki & Mahdi Roozbeh. (2017) A revised Cholesky decomposition to combat multicollinearity in multiple regression models. Journal of Statistical Computation and Simulation 87:12, pages 2298-2308.
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Issam Dawoud & Selahattin Kaçıranlar. (2017) Evaluation of the predictive performance of the r-k and r-d class estimators. Communications in Statistics - Theory and Methods 46:8, pages 4031-4050.
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Gülesen Üstündağ Şiray. (2014) Modified and Restricted r-k Class Estimators. Communications in Statistics - Theory and Methods 43:24, pages 5130-5155.
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Gülesen Üstündaǧ Şiray & Sadullah Sakallıoǧlu. (2012) Superiority of the r–k Class Estimator Over Some Estimators In A Linear Model. Communications in Statistics - Theory and Methods 41:15, pages 2819-2832.
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M. Revan Özkale. (2012) Combining the unrestricted estimators into a single estimator and a simulation study on the unrestricted estimators. Journal of Statistical Computation and Simulation 82:5, pages 653-688.
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Danaipong Chetchotsak & Janet M. Twomey. (2007) Combining neural networks for function approximation under conditions of sparse data: the biased regression approach. International Journal of General Systems 36:4, pages 479-499.
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Selahattin Kaçıranlar & Sadullah Sakallıoğlu. (2001) COMBINING THE LIU ESTIMATOR AND THE PRINCIPAL COMPONENT REGRESSION ESTIMATOR. Communications in Statistics - Theory and Methods 30:12, pages 2699-2705.
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José Raúl Martinez, AV Valparaísoy & R. Martínez. (1990) An optimal property of the “(r,k ) class estimators”. Communications in Statistics - Theory and Methods 19:4, pages 1281-1289.
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Articles from other publishers (13)

Nilgün YILDIZ. (2019) Regresyon Analizinde Kullanılan Yanlı Tahmin Edicilerin Etkinliklerinin KarşılaştırılmasıA Study on the Use of Jackknife Method in Biased Estimates. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi 12:2, pages 886-892.
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Mahdi Roozbeh. (2018) Optimal QR-based estimation in partially linear regression models with correlated errors using GCV criterion. Computational Statistics & Data Analysis 117, pages 45-61.
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Shalini Chandra & Gargi Tyagi. (2017) On the Performance of Some Biased Estimators in a Misspecified Model with Correlated Regressors. Statistics in Transition New Series 18:1, pages 27-52.
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Mahdi Roozbeh, Saman Babaie-Kafaki & Mohammad Arashi. (2016) A class of biased estimators based on QR decomposition. Linear Algebra and its Applications 508, pages 190-205.
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Shalini Chandra & Nityananda Sarkar. (2015) Comparison of the r- (k, d) class estimator with some estimators for multicollinearity under the Mahalanobis loss function. International Econometric Review 7:1, pages 1-12.
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Deniz Inan. (2013) Combining the Liu-type estimator and the principal component regression estimator. Statistical Papers 56:1, pages 147-156.
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Gülesen Üstündagˇ Şiray, Selahattin Kaçıranlar & Sadullah Sakallıoğlu. (2012) r − k Class estimator in the linear regression model with correlated errors. Statistical Papers 55:2, pages 393-407.
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Xinfeng Chang & Hu Yang. (2011) Combining two-parameter and principal component regression estimators. Statistical Papers 53:3, pages 549-562.
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M. Revan Özkale & Selahattin Kaçıranlar. (2006) Comparisons of the r − k class estimator to the ordinary least squares estimator under the Pitman’s closeness criterion. Statistical Papers 49:3, pages 503-512.
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M. Revan Özkale & Selahattin Kaçıranlar. (2007) Superiority of the class estimator over some estimators by the mean square error matrix criterion. Statistics & Probability Letters 77:4, pages 438-446.
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Nityananda Sarkar. (1996) Mean square error matrix comparison of some estimators in linear regressions with multicollinearity. Statistics & Probability Letters 30:2, pages 133-138.
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Masayuki Jimichi & Nobuo Inagaki. (1996) r-k Class estimation in regression model with concomitant variables. Annals of the Institute of Statistical Mathematics 48:1, pages 89-95.
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Nityananda Sarkar. (1989) Comparisons among some estimators in misspecified linear models with multicollinearity. Annals of the Institute of Statistical Mathematics 41:4, pages 717-724.
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