| 统计测度及它在概率空间的应用 |
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| 引用本文： | 周仙耕.统计测度及它在概率空间的应用[J].大学数学,2013,29(1):48-51. |
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| 作者姓名： | 周仙耕 |
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| 作者单位： | 宁德师范学院数学系,福建宁德,352100 |
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| 摘 要： | 设=2 N,一实值函数μ:→0,1]称为统计测度.如果若A,B∈,A∩B=,则μ(A∪B)=μ(A)+μ(B)且μ(k)=0.本文得到了统计测度的表示定理及统计测度在概率空间的应用.
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| 关 键 词： | 统计收敛 概率空间 分布函数 |
Statistical Measure and its Application to Probabilistic Space |
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| ZHOU Xian-geng.Statistical Measure and its Application to Probabilistic Space[J].College Mathematics,2013,29(1):48-51. |
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| Authors: | ZHOU Xian-geng |
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| Institution: | ZHOU Xian-geng(Math Department of Ningde Normal University,Ningde Fujian 352100,China) |
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| Abstract: | Suppose that =2N,a real-valued set function μ:→ is said to be statistical measure if it satisfies μ(A∪B)=μ(A)+μ(B) and μ(k)=0 for all A,B∈,with A∩B=φ.This paper shows that a representation theorem for statistical measure and its application to probabilistic space. |
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| Keywords: | statistical measure probabilistic space distribution functions |
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