全概率公式的一种替代推理工具及其应用
An alternative inference tool to total probability formula and its applications
摘要：
全概率和贝叶斯公式是贝叶斯统计中利用先验信息的两个基本工具。在本文中，我们介绍了一种替代工具，使用先验信息。这个新工具使我们改进了统计推断中的一些传统结果。然而，据作者所知，除了[1]之外，没有关于这个问题的工作。本文的结果可以推广到概率统计的其他分支。第二节定义了基于中值的全概率公式，并证明了它的基本性质。在第3节中给出了这种新工具的一些应用。
英文摘要：
Total probability and Bayes formula are two basic tools for using prior information in the Bayesian statistics. In this paper we introduce an alternative tool for using prior information. This new toold enables us to improve some traditional results in statistical inference. However, as far as the authors know, there is no work on this subject, except [1]. The results of this paper can be extended to other branches of probability and statistics. In Section 2 total probability formula based on median is defined and its basic properties are proved. A few applications of this new tool are given in Section 3.
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。
