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关于U-统计量最大值完全收敛的进一步讨论
引用本文:王岳宝.关于U-统计量最大值完全收敛的进一步讨论[J].数学学报,1996,39(1):76-83.
作者姓名:王岳宝
作者单位:湛江师范学院数学系!湛江524048
摘    要:本文讨论了U-统计量最大值完全收敛的充分条件,拓宽了周元■及拙文[1]中核函数的范围,降低了矩的阶数,更确切合理地阐明了U-统计量最大值与熟知的独立和最大值的完全收敛之间的内在系与区别。

关 键 词:U-统计量  完全收敛性
收稿时间:1993-7-5
修稿时间:1994-6-16

A Further Discussion on the Complete Convergence of the Maximum U-Statistics
Wang Yuebao.A Further Discussion on the Complete Convergence of the Maximum U-Statistics[J].Acta Mathematica Sinica,1996,39(1):76-83.
Authors:Wang Yuebao
Institution:Wang Yuebao (Department of Mathematics,Zhanjiang Teacher's College,Zhanjiang 524048, China)
Abstract:A sufficient condition for the complete convergence of the maximum of U-statistics is discussed in this article.The author exactly elaboretes the links and difference between the complete convergence of the maximum of U-statistics and that of the commonly known sums of independent random variables, widering the range of the kernelfunctions and reducing the order of moments in Chow Yuanshih's and the author's another article.
Keywords:U-statistics  complete convergence
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