Zhang, Zhiyi

UNCC

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Several statistical results under multinomial distribution with infinite categories 2009 585 This dissertation discusses several statistical results under multinomial distribution with infinite categories. Firstly, the discussion focuses on Simpson’s diversity index and Turing’s formula. We established an unbiased estimate for the newly prop...
ASYMPTOTIC NORMALITY OF ENTROPY ESTIMATORS 2013 686 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...