| 邻域数的依概率ρ—级发散性 |
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| 引用本文： | 游荣彦. 邻域数的依概率ρ—级发散性[J]. 华南师范大学学报(自然科学版), 1992, 0(1): 111-115 |
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| 作者姓名： | 游荣彦 |
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| 作者单位： | 华南师范大学计算机科学系 |
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| 摘 要： | 本文先提出了随机变量序列依概率ρ－级发散的概念，讨论了这种发散与通常的依概率发散的关系；在第二节，定义了d－维总体的邻域数，并给出了它作为一维离散型随机变量依概率ρ－级发散的条件，该条件不依赖于总体的分布，因此定理对一切总体均成立。
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| 关 键 词： | 随机变量序列 邻域数 依概率ρ－级发散性 |
THE p-DEGREE DIVERGENCE OF NEIGHBOUR NUMBERS IN PROBABILITY |
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| You Rongyan. THE p-DEGREE DIVERGENCE OF NEIGHBOUR NUMBERS IN PROBABILITY[J]. Journal of South China Normal University(Natural Science Edition), 1992, 0(1): 111-115 |
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| Authors: | You Rongyan |
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| Affiliation: | Dept. of Computer Science |
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| Abstract: | In this paper the concept of p- degree divergence of a random sequence i n probability is presented. The relation between this divergence and the usual divergence in probability is discussed . In the second section of the paper, the neighbour number of a d-dimensional population is defined and the conditions ensuring the p - degree divergence of the neighbour number, which is a discrete random variable, in probability are given. These conditions are independent of the population's distribution; therefore, the thecrem in the paper is universally available for all populations. |
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| Keywords: | divergence in probability indicator 5 covet u- measurable Chebyshev Inequality i. i d sample. |
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