| 关于事件独立性的研究 |
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| 引用本文： | 吕佳,乔克林,孙明娟.关于事件独立性的研究[J].河南科学,2014(12):2440-2443. |
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| 作者姓名： | 吕佳 乔克林 孙明娟 |
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| 作者单位： | 延安大学数学与计算机科学学院,陕西延安,716000 |
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| 摘 要： | 为揭示事件独立性的本质,从独立性的定义出发,先对古典概型场合展开讨论,得出两事件相互独立的一个充要条件.而后将结论推广至一般概率空间的场合,并基于所得结论给出一种用于构造独立随机变量序列的具体方法.
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| 关 键 词： | 独立性 样本空间 概率空间 独立同分布 随机变量序列 |
Study on the Independence of Events |
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| Lv Jia
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Qiao Kelin
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Sun Mingjuan.Study on the Independence of Events[J].Henan Science,2014(12):2440-2443. |
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| Authors: | Lv Jia Qiao Kelin Sun Mingjuan |
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| Institution: | (College of Mathematics and Computer Science, Yanan University, Yan＇ an 716000, Shaanxi China) |
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| Abstract: | To reveal the essence of the independence of events,this paper started with the discussion from thedefinition of independence,and a necessary and sufficient condition of independence is given under the occasion ofclassical probability model. Then the conclusion is extended to the general probability space. Furthermore,basedon the conclusion,a method for constructing a sequence of independent random variables is given. |
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| Keywords: | independence sample space probability space independent identical distribution sequence of random variables |
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