CAJ | 학술논문

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.
인위전개솔공식성립적조건＂사건조수위양본공간적화분＂가이감약,급출전개솔공식재유한사건조정형화무한가렬사건조정형하적량충추엄형식,유차대패협사공식진행량충상응추엄,병통과실례전시전개솔공식재민감성조사중적응용.
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.