| A Glivenko－Cantelli Theorem and Weak Convergence for Empirical Processes of Associated Sequences for Discrete Case |
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| 引用本文： | 关忠,曲绍平.A Glivenko－Cantelli Theorem and Weak Convergence for Empirical Processes of Associated Sequences for Discrete Case[J].哈尔滨工业大学学报(英文版),1995(1). |
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| 作者姓名： | 关忠 曲绍平 |
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| 作者单位： | Dept.of Mathematics，Harbin Institute of Technology，Harbin，150001，China |
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| 摘 要： | ＡＧｌｉｖｅｎｋｏ－ＣａｎｔｅｌｌｉＴｈｅｏｒｅｍａｎｄＷｅａｋＣｏｎｖｅｒｇｅｎｃｅｆｏｒＥｍｐｉｒｉｃａｌＰｒｏｃｅｓｓｅｓｏｆＡｓｓｏｃｉａｔｅｄＳｅｑｕｅｎｃｅｓｆｏｒＤｉｓｃｒｅｔｅＣａｓｅ￥（关忠）（曲绍平）ＧＵＡＮＺｈｏｎｇ；ＱＵＳｈａ...
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A Glivenko-Cantelli Theorem and Weak Convergence for Empirical Processes of Associated Sequences for Discrete Case |
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| GUAN Zhong, QU Shaoping.A Glivenko-Cantelli Theorem and Weak Convergence for Empirical Processes of Associated Sequences for Discrete Case[J].Journal of Harbin Institute of Technology,1995(1). |
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| Authors: | GUAN Zhong QU Shaoping |
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| Abstract: | Under the conditions on covariances of the original random variables, a Glivenko-Cantelli theorem for associated sequences and weak convergence for empirical processes of stationary associated sequences are obtained, assuming the random variables to be discrete. |
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| Keywords: | ss:Glivenko-Cantelli theorem associated sequence covariance structure positively Dependence |
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