Before revision:  We discuss the  implementation of the spectral estimation procedures for L\'evy models of finite jump activity as well as for self-decomposable L\'evy models and improve these methods. Confidence intervals are constructed for the estimators in the finite activity case.
After revision:  We discuss the implementation of the spectral estimation procedures for L\'evy models of finite jump activity as well as for self-decomposable L\'evy models . Based on finite sample variances, confidence intervals are constructed for the estimators in the finite activity case.