| 高斯序列的最大值的几乎必然极限 |
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| 引用本文： | 张玲.高斯序列的最大值的几乎必然极限[J].数学杂志,2006,26(4):373-378. |
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| 作者姓名： | 张玲 |
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| 作者单位： | 湛江海洋大学理学院数学系,广东,湛江,524000 |
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| 摘 要： | 本文研究了高斯序列{Xn}最大值的几乎必然极限。利用正态比较引理和对数平均,在有关协方差的某些条件下,得到了最大值的一个几乎必然极限定理.
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| 关 键 词： | 高斯序列 最大值 几乎必然极限 对数平均 |
| 文章编号： | 0255-7797（2006）04-0373-06 |
| 收稿时间： | 2004-02-05 |
| 修稿时间： | 2004-02-05 |
ALMOST SURE LIMIT THEOREMS FOR THE MAXIMUM OF GAUSSIAN SEQUENCES |
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| ZHANG Ling.ALMOST SURE LIMIT THEOREMS FOR THE MAXIMUM OF GAUSSIAN SEQUENCES[J].Journal of Mathematics,2006,26(4):373-378. |
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| Authors: | ZHANG Ling |
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| Institution: | Dept. of Math., Zhanjiang Ocean University, Zhanjiang 524000,China |
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| Abstract: | This paper mainly study the almost sure limit for the maxima of the Gaussian sequence {X_n}. Using Normal Comparison Lemma and logarithmic average, we obtain an almost sure limit theorem for the maxima of Gaussian sequence under some conditions related to correlation.The case of stationary sequence is given as an example. |
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| Keywords: | Gaussian sequence maximum almost sure limit logarithmic average |
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