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渐近负相关随机域强定律的收敛率
引用本文:张立新,王秀云.渐近负相关随机域强定律的收敛率[J].高校应用数学学报(英文版),1999,14(4).
作者姓名:张立新  王秀云
作者单位:Dept.of Math,Zhejiang Univ,Xixi Campus,Hangzhou 310028  
摘    要:

关 键 词:ρ--mixing  ρ*-mixing

CONVERGENCE RATES IN THE STRONG LAWS OF ASYMPTOTICALLY NEGATIVELY ASSOCIATED RANDOM FIELDS
Zhang Lixin,Wang Xiuyun.CONVERGENCE RATES IN THE STRONG LAWS OF ASYMPTOTICALLY NEGATIVELY ASSOCIATED RANDOM FIELDS[J].Applied Mathematics A Journal of Chinese Universities,1999,14(4).
Authors:Zhang Lixin  Wang Xiuyun
Abstract:In this paper,a notion of negative side ρ-mixing (ρ--mixing) which can be regarded as asymptotic negative association is defined,and some Rosenthal type inequalities for ρ--mixing random fields are established. The complete convergence and almost sure summability on the convergence rates with respect to the strong law of large numbers are also discussed for ρ--mixing random fields. The results obtained extend those for negatively associated sequences and ρ*-mixing random fields.
Keywords:Rosenthal-type inequality  strong law of large numbers  asymptotic negative association  random fields
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