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In this paper, we compare two different variable selection approaches for linear regression models: Autometrics … (automatic general-to-specific selection) and LASSO (?1-norm regularization). In a simulation study, we show the performance of …
Persistent link: https://www.econbiz.de/10010720623
the estimation error of the Lasso under two different sets of conditions on the covariates as well as the error terms … constants. These results are then used to show that the Lasso can be consistent in even very large models where the number of … regressors increases at an exponential rate in the sample size. Conditions under which the Lasso does not discard any relevant …
Persistent link: https://www.econbiz.de/10010851282
Persistent link: https://www.econbiz.de/10012194865
and the adaptive LASSO and penalize both the coefficient functions and their derivatives using an adaptive L1 penalty. We … give conditions under which this new adaptive LASSO consistently identifies the significant variables and parametric …
Persistent link: https://www.econbiz.de/10010594222
Persistent link: https://www.econbiz.de/10011592371
individual specific variables that all could potentially impact the retirement decision.We use variants of the Lasso and the … adaptive Lasso applied to logistic regression in order to uncover determinants of the retirement decision. To the best of our …
Persistent link: https://www.econbiz.de/10010851260
We study the distribution of hard-, soft-, and adaptive soft-thresholding estimators within a linear regression model where the number of parameters k can depend on sample size n and may diverge with n. In addition to the case of known error-variance, we define and study versions of the...
Persistent link: https://www.econbiz.de/10009148008
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 the case where the adaptive LASSO estimator is tuned to perform …' property of the adaptive LASSO estimator established in Zou 2006). Moreover, we also provide an impossibility result regarding …
Persistent link: https://www.econbiz.de/10005790270
approach with locally weighted regression to achieve sparse models. Specifically, the lasso is a shrinkage and selection method … for linear regression. We present an algorithm that embeds lasso in an iterative procedure that alternatively computes … weights and performs lasso-wise regression. The algorithm is tested on three synthetic scenarios and two real data sets …
Persistent link: https://www.econbiz.de/10010998498
Persistent link: https://www.econbiz.de/10012792868