27 citations · 53 across the 5 of their papers we have counts for
5 papers
Generalized Mutual Information
Zhiyi Zhang
Mutual information is one of the essential building blocks of information theory. Yet, it is only finitely defined for distributions with fast decaying tails on a countable joint a…
Sample Size for Concurrent Species Detection in a Species-Rich Assemblage
Ali T. Haidar, Abbas Al-Hakim, Zhiyi Zhang
Monitoring the distribution of microfossils in stratigraphic successions is an essential tool for biostratigraphic, evolutionary and paleoecologic/paleoceanographic studies. To est…
Domains of Attraction on Countable Alphabets
Zhiyi Zhang
For each probability distribution on a countable alphabet, a sequence of positive functionals are developed as tail indices based on Turing's perspective. By and only by the asympt…
Entropic Representation and Estimation of Diversity Indices
Zhiyi Zhang, Michael Grabchak
This paper serves a twofold purpose. First, a unified perspective on diversity indices is introduced based on an entropic basis. It is shown that the class of all linear combinatio…
Asymptotic normality of a nonparametric estimator of sample coverage
Cun-Hui Zhang, Zhiyi Zhang
This paper establishes a necessary and sufficient condition for the asymptotic normality of the nonparametric estimator of sample coverage proposed by Good [Biometrica 40 (1953) 23…