4 papers
Moderate deviation principle for plug-in estimators of diversity indices on countable alphabets
Zhenhong Yu, Yu Miao
In the present paper, we consider the moderate deviation principle for the plug-in estimators of a large class of diversity indices on countable alphabets, where the distribution m…
Moderate deviation principle for the chi-square statistics
Zhenhong Yu, Yu Miao
In the present paper, we consider the Pearson chi-square statistic defined on a finite alphabet which is assumed to dynamically vary as the sample size increases, and establish its…
Some asymptotic behaviors for the plug-in estimator of entropy
Zhenhong Yu, Yu Miao
In the present paper, we consider the plug-in estimator of Shannon's entropy defined on a finite alphabet which is assumed to dynamically vary as the sample size increases. The asy…
Large deviation inequalities for the nonlinear unbalanced urn model
Jianan Shi, Zhenhong Yu, Yu Miao
In the present paper, we consider the two-color nonlinear unbalanced urn model, under a drawing rule reinforced by an -valued concave function and an unbalanced repla…