Uniform-in-bandwidth consistency for kernel-type estimators of Shannon’s entropy

Published in Electronic Journal of Statistics, 2011

S. Bouzebda and I. Elhattab

We establish uniform-in-bandwidth consistency for kernel-type estimators of the differential entropy. We consider two kernel-type estima- tors of Shannon’s entropy. As a consequence, an asymptotic \(100\%\) confi- dence interval of entropy is provided. Download paper here