Asymptotic Normality of Entropy Estimators
1 online resource (32 pages) : PDF
University of North Carolina at Charlotte
Shannon's entropy plays a central role in many fields of mathematics. In the first chapter, we present a sufficient condition for the asymptotic normality of the plug-in estimator of Shannon's entropy defined on a countable alphabet. The sufficient condition covers a range of cases with countably infinite alphabets, for which no normality results were previously known. In the second chapter of this dissertation, we establish the asymptotic normality of a recently introduced non-parametric entropy estimator under another sufficient condition.The proposed estimator, developed in Turing's perspective, is known for its improved estimation accuracy.
ASYMPTOTIC NORMALITYENTROPYNONPARAMETRIC ENTROPY ESTIMATIONTURING'S FORMULA
Sun, YanqingJiang, JianchengZheng, Yuliang
Thesis (Ph.D.)--University of North Carolina at Charlotte, 2013.
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