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Peertechz Journal of
Computer Science and
Engineering
Peertechz Journals
RESEARCH ARTICLE
Shrinkage Parameters for Each Explanatory
Variable Found Via Particle Swarm
Optimization in Ridge Regression
 Eren Bas*, Erol Egrioglu and Vedide Rezan Uslu
 *Corresponding author: Eren Bas, Giresun University, Faculty
of Arts and Science, Department of Statistics, Gure Campus,
Giresun, Turkey, Tel: +90 454 3101400; Fax: +90 454 3101477
 Dates: Received: 23 February, 2017; Accepted: 11 March,
2017; Published: 13 March, 2017
 Citation: Bas E, Egrioglu E, Uslu VR (2017) Shrinkage
Parameters for Each Explanatory Variable Found Via Particle
Swarm Optimization in Ridge Regression. Peertechz J Comput
Sci Eng 2(1): 012-020.
Abstract
 Ridge regression method is an improved method when the assumptions of
independence of the explanatory variables cannot be achieved, which is also
called multicollinearity problem, in regression analysis. One of the way to
eliminate the multicollinearity problem is to ignore the unbiased property of
. Ridge regression estimates the regression coeffi cients biased in order to
decrease the variance of the regression coeffi cients. One of the most
important problems in ridge regression is to decide what the shrinkage
parameter (k) value will be. This k value was found to be a single value in
almost all these studies in the literature. In this study, different from those
studies, we found different k values corresponding to each diagonal elements
of variance-covariance matrix of instead of a single value of k by using a new
algorithm based on particle swarm optimization. To evaluate the performance
of our proposed method, the proposed method is fi rstly applied to real-life
data sets and compared with some other studies suggested in the ridge
regression literature. Finally, two different simulation studies are performed
and the performance of the proposed method with different conditions is
evaluated by considering other studies suggested in the ridge regression
literature..
Thank you
For more information Read Online Article…
https://www.peertechz.com/articles/shrinkage-parameters-for-
each-explanatory-variable-found-via-particle-swarm-optimization-in-
ridge-regression.pdf
For
Full
Article
PDF

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shrinkage-parameters-for-each-explanatory-variable-found-via-particle-swarm-optimization-in-ridge-regression-peertechz-journal-of-computer-science-and-engineering-peertechz-journals

  • 1. Peertechz Journal of Computer Science and Engineering Peertechz Journals
  • 2. RESEARCH ARTICLE Shrinkage Parameters for Each Explanatory Variable Found Via Particle Swarm Optimization in Ridge Regression  Eren Bas*, Erol Egrioglu and Vedide Rezan Uslu  *Corresponding author: Eren Bas, Giresun University, Faculty of Arts and Science, Department of Statistics, Gure Campus, Giresun, Turkey, Tel: +90 454 3101400; Fax: +90 454 3101477  Dates: Received: 23 February, 2017; Accepted: 11 March, 2017; Published: 13 March, 2017  Citation: Bas E, Egrioglu E, Uslu VR (2017) Shrinkage Parameters for Each Explanatory Variable Found Via Particle Swarm Optimization in Ridge Regression. Peertechz J Comput Sci Eng 2(1): 012-020.
  • 3. Abstract  Ridge regression method is an improved method when the assumptions of independence of the explanatory variables cannot be achieved, which is also called multicollinearity problem, in regression analysis. One of the way to eliminate the multicollinearity problem is to ignore the unbiased property of . Ridge regression estimates the regression coeffi cients biased in order to decrease the variance of the regression coeffi cients. One of the most important problems in ridge regression is to decide what the shrinkage parameter (k) value will be. This k value was found to be a single value in almost all these studies in the literature. In this study, different from those studies, we found different k values corresponding to each diagonal elements of variance-covariance matrix of instead of a single value of k by using a new algorithm based on particle swarm optimization. To evaluate the performance of our proposed method, the proposed method is fi rstly applied to real-life data sets and compared with some other studies suggested in the ridge regression literature. Finally, two different simulation studies are performed and the performance of the proposed method with different conditions is evaluated by considering other studies suggested in the ridge regression literature..
  • 4. Thank you For more information Read Online Article… https://www.peertechz.com/articles/shrinkage-parameters-for- each-explanatory-variable-found-via-particle-swarm-optimization-in- ridge-regression.pdf For Full Article PDF