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arXiv math/0604262math.PR
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规范$U$的LIL-统计量

The LIL for canonical $U$-statistics

Radosław Adamczak, Rafał Latała

摘要:

本文给出了正则$U$ -统计量的重对数律(有界)的充要条件,推广了$d$的已有结果.的nasc的表示为增长条件的参数化家庭的规范与$U$统计内核。

英文摘要:

We give necessary and sufficient conditions for the (bounded) law of the iterated logarithm for canonical $U$-statistics of arbitrary order $d$, extending the previously known results for $d=2$. The nasc's are expressed as growth conditions on a parameterized family of norms associated with the $U$-statistics kernel.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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