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math.ST2008★ 37 cited
Confidence Sets Based on Penalized Maximum Likelihood Estimators in Gaussian Regression
Benedikt M. Pötscher, Ulrike Schneider
Confidence intervals based on penalized maximum likelihood estimators such as the LASSO, adaptive LASSO, and hard-thresholding are analyzed. In the known-variance case, the finite-…
math.ST2008★ 3 cited
On the Distribution of the Adaptive LASSO Estimator
Benedikt M. Pötscher, Ulrike Schneider
We study the distribution of the adaptive LASSO estimator (Zou (2006)) in finite samples as well as in the large-sample limit. The large-sample distributions are derived both for t…