Before revision:  Then, we use these results and prove that the adaptive group lasso has oracle properties if weights are obtained from our first step estimation and the tuning parameter satisfies some further restrictions . Simulation results show that the proposed estimator delivers the expected results.
After revision:  Then, we use these results and prove that the adaptive group lasso has oracle properties if weights are obtained from our first step estimation . Simulation results show that the proposed estimator delivers the expected results.