| 全概率公式的推广与应用 |
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| 引用本文： | 唐旭晖,李冱岸,段利霞.全概率公式的推广与应用[J].数学学习,2011(4):51-52. |
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| 作者姓名： | 唐旭晖 李冱岸 段利霞 |
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| 作者单位： | 北方工业大学理学院,北京100144 |
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| 基金项目： | 北京市属市管高等学校人才强教计划资助项目（A1021）,北方工业大学教改资助项目. |
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| 摘 要： | 认为全概率公式成立的条件＂事件组须为样本空间的划分＂可以减弱,给出全概率公式在有限事件组情形和无限可列事件组情形下的两种推广形式,由此对贝叶斯公式进行两种相应推广,并通过实例展示全概率公式在敏感性调查中的应用.
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| 关 键 词： | 全概率公式 贝叶斯公式 敏感性调查 |
Generalizations and Applications of the Formula of Total Probability |
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| TANG Xu-hui,LI Hu-an,DUAN Li-xia.Generalizations and Applications of the Formula of Total Probability[J].Studies In College Mathematics,2011(4):51-52. |
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| Authors: | TANG Xu-hui LI Hu-an DUAN Li-xia |
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| Institution: | (School of Sciences, North China Univ. of Tech., Beijing 100144, PRC) |
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| Abstract: | It is found that the condition ＂the events as a division of the sample space＂ for the formula Of total probability can be weakened. Two generalizations are given under the cases of the finite events and countable infinite events. Furthermore, two generalizations of the Byaes formula are also obtained. An example of sensitivity investigation is given to show the application of the formula of total probability. |
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| Keywords: | formula of total probability Byaes formula sensitivity investigation |
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