Showing math.STShow all
2 papers · 1 filter
math.ST2025
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…
math.ST2025
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…