关于相依观测值的标准von Mises统计量分布尾的指数不等式的注记
A note on exponential inequalities for the distribution tails of canonical von Mises' statistics of dependent observations
摘要：
对于满足φ-混合条件的平稳随机变量序列的样本，得到了任意阶标准von Mises统计量分布尾的Hoeffding型指数不等式.本文削弱了Borisov和Volodko（2009）的论文“Exponential inequalities for the distributions of canonical U- and V-statistics of dependent observations”中对系数φ（）的限制。同时，对文中的相应证明进行了修正.
英文摘要：
Hoeffding-type exponential inequalities are obtained for the distribution tails of canonical von Mises' statistics of arbitrary order based on samples from a stationary sequence of random variables satisfying the φ-mixing condition. The present paper weakens the restrictions on the coefficient φ() which are contained in the paper "Exponential inequalities for the distributions of canonical U- and V-statistics of dependent observations" by Borisov and Volodko (2009). At the same time, we correct the corresponding proof in this paper.
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