涂冬生.泛函型统计量的随机加权逼近[J].数学研究及应用,1988,8(3):439~446
泛函型统计量的随机加权逼近
Random Weight ting the Functional Statistics
投稿时间:1986-05-26  
DOI:10.3770/j.issn:1000-341X.1988.03.022
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涂冬生 中国科学院系统科学研究所 
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英文摘要:
      Let Tn be a functional of sample empirical distribution function Tn = T(Fn). With some conditions,n1/2(T( Fn) - T (F)) is asymptotic normality. In this paper, we use the ideal of random weightting to approximate the distribution of n1/2.(T(Fn) -T(F)).For Von-Mises statistics, U - statistics and L - statistics,the detail disussion has been made.
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