Riesz空间中的全概率律与Bayes定理
Law of total probability and Bayes' theorem in Riesz spaces
摘要：
本文利用序理论方法将条件概率的概念推广到Riesz空间。借助于这一概念，我们建立了Riesz空间中的全概率律和Bayes定理，并证明了Riesz空间中的一个容斥公式。通过几个例子说明了全概率定律、贝叶斯定理和概率论中的容斥公式都是本文结果的特例。
英文摘要：
This note generalizes the notion of conditional probability to Riesz spaces using the order-theoretic approach. With the aid of this concept, we establish the law of total probability and Bayes' theorem in Riesz spaces; we also prove an inclusion-exclusion formula in Riesz spaces. Several examples are provided to show that the law of total probability, Bayes' theorem and inclusion-exclusion formula in probability theory are special cases of our results.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
