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邻域数的依概率ρ—级发散性
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
作者姓名:游荣彦
作者单位:华南师范大学计算机科学系
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。

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
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
Authors:You Rongyan
Affiliation:Dept. of Computer Science
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.
Keywords:divergence in probability  indicator 5 covet  u- measurable  Chebyshev Inequality  i. i  d sample.
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