平稳连通观测值规范U-和V-统计量的正交级数和极限定理
Orthogonal series and limit theorems for canonical U- and V-statistics of stationary connected observations
摘要：
极限行为的研究规范化的U-和V-统计量的分布的任意顺序与典型的（退化）内核，基于从一个固定的序列的观察满足经典的混合条件的大小增加的样本。相应的极限分布被表示为具有已知协方差阵的中心高斯序列的无限多重线性型。
英文摘要：
The limit behavior is studied for the distributions of normalized U- and V-statistics of an arbitrary order with canonical (degenerate) kernels, based on samples of increasing sizes from a stationary sequence of observations satisfying classical mixing conditions. The corresponding limit distributions are represented as infinite multilinear forms of a centered Gaussian sequence with a known covariance matrix.
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