文章基本信息

标题：Uniform-in-bandwidth consistency for kernel-type estimators of Shannon’s entropy
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作者：Salim Bouzebda ; Issam Elhattab
期刊名称：Electronic Journal of Statistics
印刷版ISSN：1935-7524
出版年度：2011
卷号：5
页码：440-459
DOI：10.1214/11-EJS614
语种：English
出版社：Institute of Mathematical Statistics
摘要：We establish uniform-in-bandwidth consistency for kernel-type estimators of the differential entropy. We consider two kernel-type estimators of Shannon’s entropy. As a consequence, an asymptotic 100% confidence interval of entropy is provided.