| 相伴随机变量序列的泛函型几乎处处中心极限定理 |
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| 引用本文： | 陈佳.相伴随机变量序列的泛函型几乎处处中心极限定理[J].高校应用数学学报(A辑),2007,22(3):316-322. |
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| 作者姓名： | 陈佳 |
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| 作者单位： | 浙江大学,数学系,浙江杭州,310027 |
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| 摘 要： | 对于均值为零的平稳相伴随机变量序列,首先证明了在L(n)=EX_1~2 2 sum from n to j=2 Cov(X_1,X_j)是一个缓变函数的条件下的泛函型几乎处处中心极限定理.另外还给出了正则化部分和函数的对数平均几乎处处收敛性.
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| 关 键 词： | 泛函型几乎处处中心极限定理 相伴随机变量 Wiener过程 缓变函数 |
| 文章编号： | 1000-4424（2007）03-0316-07 |
| 收稿时间： | 2006-07-11 |
| 修稿时间： | 2006-07-11 |
Functional almost sure central limit theorems for PA sequences |
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| CHEN Jia.Functional almost sure central limit theorems for PA sequences[J].Applied Mathematics A Journal of Chinese Universities,2007,22(3):316-322. |
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| Authors: | CHEN Jia |
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| Institution: | Dept. of Math., Zhejiang Univ., Hangzhou 310027, China |
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| Abstract: | A functional type of almost sure central limit theorem is given for a sequence of stationary associated random variables,under the assumption that L(n)=Var X_1 2 sum from n to j=2 Coy(X_1,X_j) is a slowing varying function at infinity.Furthermore,an almost sure convergence result is established for the logarithmic average of functions of normalized partial sums. |
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| Keywords: | functional almost sure central limit theorem associated random variables Wiener process slowing varying function |
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