Zhang, Zhiyi

UNCC

There are 2 item/s.

Title	Date	Views	Brief Description
Several statistical results under multinomial distribution with infinite categories	2009	1576	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	1147	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...