@ARTICLE{Arast, author = {Arast, Mohammmad and Arashi, Mohammmad and Rabie, Mohammmad reza and }, title = {Performance Study of Shrinkage Estimator Under a Linear Constrain in Penalized Regression}, volume = {13}, number = {1}, abstract ={Often‎, ‎in high dimensional problems‎, ‎where the number of variables is large the number of observations‎, ‎penalized estimators based on shrinkage methods have better efficiency than the OLS estimator from the prediction error viewpoint‎. In these estimators‎, ‎the tuning or shrinkage parameter plays a deterministic role in variable selection‎. ‎The bridge estimator is an estimator which simplifies to ridge or LASSO estimators varying the tuning parameter‎. ‎In these paper‎, ‎the shrinkage bridge estimator is derived under a linear constraint on regression coefficients and its consistency is proved‎. ‎Furthermore‎, ‎its efficiency is evaluated in a simulation study and a real example‎. }, URL = {http://jss.irstat.ir/article-1-506-en.html}, eprint = {http://jss.irstat.ir/article-1-506-en.pdf}, journal = {Journal of Statistical Sciences}, doi = {10.29252/jss.13.1.1}, year = {2019} }