A Refined Cramer-Type Moderate Deviation for Sums of Local Statistics
Publication in refereed journal


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其它資訊
摘要We prove a refined Cram\'er-type moderate deviation result by taking into account of the skewness in normal approximation for sums of local statistics of independent random variables. We apply the main result to $k$-runs, U-statistics, and subgraph counts in the Erd\"os-R\'enyi random graph. To prove our main result, we develop exponential concentration inequalities and higher-order tail probability expansions via Stein's method.
出版社接受日期07.01.2020
著者Xiao Fang, Li Luo, Qi-Man Shao
期刊名稱Bernoulli
出版年份2020
月份8
卷號26
期次3
頁次2319 - 2352
國際標準期刊號1350-7265
語言美式英語

上次更新時間 2020-21-11 於 23:54