Determining the Effect of Some Biasing Parameter Selection Methods for the Two Stage Ridge Regression Estimator
The useof biased estimation techniques is inevitable in connection withmulticollinearity. Two stage ridge estimator is a pioneer biased estimatorwhich is use to recover the problems that are originated from themulticollinearity. The noteworthy issue regarding two stage ridge estimator isselection of...
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Sakarya University
2018-12-01
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| Series: | Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi |
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| Online Access: | https://dergipark.org.tr/tr/download/article-file/551928 |
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| author | Selma Toker Nimet Özbay |
| author_facet | Selma Toker Nimet Özbay |
| author_sort | Selma Toker |
| collection | DOAJ |
| description | The useof biased estimation techniques is inevitable in connection withmulticollinearity. Two stage ridge estimator is a pioneer biased estimatorwhich is use to recover the problems that are originated from themulticollinearity. The noteworthy issue regarding two stage ridge estimator isselection of its biasing parameter. This article investigates several methodson selection of the biasing parameter of the two stage ridge estimator based onthe works in the literature related to ridge estimator in a linear regressionmodel. To demonstrate the best estimators of the biasing parameter, a MonteCarlo experiment is conducted. The utility of the proposed estimators of thebiasing parameter for two stage ridge estimator is observed in terms of meansquare error criterion. |
| format | Article |
| id | doaj-art-ce50da9a7ef34e27868dfe57d948bc24 |
| institution | OA Journals |
| issn | 2147-835X |
| language | English |
| publishDate | 2018-12-01 |
| publisher | Sakarya University |
| record_format | Article |
| series | Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi |
| spelling | doaj-art-ce50da9a7ef34e27868dfe57d948bc242025-08-20T01:57:40ZengSakarya UniversitySakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi2147-835X2018-12-012261878188510.16984/saufenbilder.42216828Determining the Effect of Some Biasing Parameter Selection Methods for the Two Stage Ridge Regression EstimatorSelma Toker0Nimet Özbay1CUKUROVA UNIVERSITYCUKUROVA UNIVERSITYThe useof biased estimation techniques is inevitable in connection withmulticollinearity. Two stage ridge estimator is a pioneer biased estimatorwhich is use to recover the problems that are originated from themulticollinearity. The noteworthy issue regarding two stage ridge estimator isselection of its biasing parameter. This article investigates several methodson selection of the biasing parameter of the two stage ridge estimator based onthe works in the literature related to ridge estimator in a linear regressionmodel. To demonstrate the best estimators of the biasing parameter, a MonteCarlo experiment is conducted. The utility of the proposed estimators of thebiasing parameter for two stage ridge estimator is observed in terms of meansquare error criterion.https://dergipark.org.tr/tr/download/article-file/551928biasing parametermulticollinearityridge estimatortwo stage least squares |
| spellingShingle | Selma Toker Nimet Özbay Determining the Effect of Some Biasing Parameter Selection Methods for the Two Stage Ridge Regression Estimator Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi biasing parameter multicollinearity ridge estimator two stage least squares |
| title | Determining the Effect of Some Biasing Parameter Selection Methods for the Two Stage Ridge Regression Estimator |
| title_full | Determining the Effect of Some Biasing Parameter Selection Methods for the Two Stage Ridge Regression Estimator |
| title_fullStr | Determining the Effect of Some Biasing Parameter Selection Methods for the Two Stage Ridge Regression Estimator |
| title_full_unstemmed | Determining the Effect of Some Biasing Parameter Selection Methods for the Two Stage Ridge Regression Estimator |
| title_short | Determining the Effect of Some Biasing Parameter Selection Methods for the Two Stage Ridge Regression Estimator |
| title_sort | determining the effect of some biasing parameter selection methods for the two stage ridge regression estimator |
| topic | biasing parameter multicollinearity ridge estimator two stage least squares |
| url | https://dergipark.org.tr/tr/download/article-file/551928 |
| work_keys_str_mv | AT selmatoker determiningtheeffectofsomebiasingparameterselectionmethodsforthetwostageridgeregressionestimator AT nimetozbay determiningtheeffectofsomebiasingparameterselectionmethodsforthetwostageridgeregressionestimator |