In this article,we study the weak invariance principle.By using the idea of selfnormalized limit theorem to trimmed sum,we get a weak convergence theorem.Meanwhile,we extend the weak convergence theorem to U-statistics.%本文研究了弱不变原理.把自正则极限定理的思想应用于截断和,得到了一个弱收敛定理.同时我们把弱收敛定理的结论推广至U-统计量.
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