no code implementations • 25 Mar 2024 • Oliver Y. Feng, Yu-Chun Kao, Min Xu, Richard J. Samworth
As an example of a non-log-concave setting, for Cauchy errors, the optimal convex loss function is Huber-like, and our procedure yields an asymptotic efficiency greater than 0. 87 relative to the oracle maximum likelihood estimator of the regression coefficients that uses knowledge of this error distribution; in this sense, we obtain robustness without sacrificing much efficiency.