| 离散型随机分布和几类Toeplitz矩阵 |
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| 引用本文： | 吴从炘,邱骏.离散型随机分布和几类Toeplitz矩阵[J].黑龙江大学自然科学学报,2005,22(2):154-157. |
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| 作者姓名： | 吴从炘 邱骏 |
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| 作者单位： | 哈尔滨工业大学理学院,黑龙江,哈尔滨,150001;哈尔滨工业大学理学院,黑龙江,哈尔滨,150001 |
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| 基金项目： | 国家自然科学基金资助项目(10271035) |
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| 摘 要： | 探讨了概率论中的离散型随机分布与Toeplitz矩阵的关系,给出了已知的几类Toeplitz矩阵是如何从概率论中离散型随机分布中构造出来的,利用如上的思想与方法,从概率论中的超几何分布构造了一类新的Toeplitz矩阵.
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| 关 键 词： | 离散型随机变量 Toeplitz矩阵 Toeplitz条件 超几何分布 |
| 文章编号： | 1001-7011(2005)02-0154-04 |
| 修稿时间： | 2004年8月1日 |
Distribution of discrete random variable and several types of Toeplitz matrices |
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| WU Cong-xin,QIU Jun.Distribution of discrete random variable and several types of Toeplitz matrices[J].Journal of Natural Science of Heilongjiang University,2005,22(2):154-157. |
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| Authors: | WU Cong-xin QIU Jun |
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| Abstract: | Discuss the relationship between distribution of discrete random variable in probability and Toeplitz matrices , introduce how several types of Toeplitz matrices can be constructed by using distribution of discrete random variable in probability. Based on the idea and approach above, a new type of Toeplitz matrices are constructed by using hypergeometric distribution in probability. |
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| Keywords: | discrete random variable Toeplitz matrices Toeplitz condition hypergeometric distribution |
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