In the following plot you see the rejection frequencies (defined as the frequency in which the estimator is non-zero) for 100 regressors (represented along the horizontal axis), and repeated for the...


In the following plot you see the rejection frequencies (defined as the frequency in which the estimator is non-zero) for 100 regressors<br>(represented along the horizontal axis), and repeated for the OLS, Lasso and Adaptive Lasso estimators. The red dots are the estimates for the<br>true non-zero coefficients. The black dots are the estimates of true-zero coefficients.<br>OLS<br>Lasso<br>Adaptive Lasso<br>12-<br>12-<br>1.2-<br>0.8-<br>0.8-<br>0.8-<br>0.4-<br>0.4-<br>0.4-<br>0.0-<br>0.0-<br>0.0-<br>100<br>100<br>You can learn from the plots that:<br>O a. The Lasso has a clear shrinkage towards zero<br>O b. The Adaptive Lasso has better model-selection properties because it estimates more frequently the true zeros as zeros<br>O. All of the options<br>Od.<br>The OLS has poor predictive performance<br>O e.<br>The Adaptive Lasso has better model-selection properties because it estimates more frequently the true non-zeros as non-zeros<br>coef<br>*8-<br>

Extracted text: In the following plot you see the rejection frequencies (defined as the frequency in which the estimator is non-zero) for 100 regressors (represented along the horizontal axis), and repeated for the OLS, Lasso and Adaptive Lasso estimators. The red dots are the estimates for the true non-zero coefficients. The black dots are the estimates of true-zero coefficients. OLS Lasso Adaptive Lasso 12- 12- 1.2- 0.8- 0.8- 0.8- 0.4- 0.4- 0.4- 0.0- 0.0- 0.0- 100 100 You can learn from the plots that: O a. The Lasso has a clear shrinkage towards zero O b. The Adaptive Lasso has better model-selection properties because it estimates more frequently the true zeros as zeros O. All of the options Od. The OLS has poor predictive performance O e. The Adaptive Lasso has better model-selection properties because it estimates more frequently the true non-zeros as non-zeros coef *8-

Jun 02, 2022
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