贝叶斯公式实例的深度挖掘  

Deep Mining of Bayes Formula Teaching

作　　者：方红燕 王蕊[1] 杨文志 胡夫涛[1] FANG Hong-yan;WANG Rui;YANG Wen-zhi;HU Fu-tao(School of Mathematical Sciences,Anhui University,230G01,Hefei,Anhui,PRC)

机构地区：[1]安徽大学数学科学学院,安徽省合肥市230601

出　　处：《曲阜师范大学学报（自然科学版）》2018年第4期1-4,共4页Journal of Qufu Normal University(Natural Science)

基　　金：国家自然科学基金(11501005;11401004;11801003);安徽省自然科学基金(1808085QA17);安徽省质量工程(2015jyxm054;ZLTS2015053);安徽大学博士科研启动经贯(J01003205)

摘　　要：贝叶斯公式是贝叶斯统计学的理论知识基础和重要的应用工具,在贝叶斯回归分析、贝叶斯风险决策、神经网络、机器学习等领域都有重要应用,是高等教育教学中一个重要的知识点和难点.文章针对贝叶斯公式教学应用中的常见问题,通过案例分析和图解对贝叶斯公式的学习和运用进行深度剖析.通过本文案例的深度分析不仅可以使学生充分理解和应用贝叶斯公式,更能使学生在日常生活中认识和体会贝叶斯公式的作用和魅力.Bayes formula is the theoretical foundation and important application tool of Bayesian statis tics. It has many important applications in related fields such as Bayesian regression analysis, Bayesian risk decision, neural network, machine learning. Bayes formula is a key and difficult point in higher education teaching. In this paper, deep analysis of Bayes formula is carried out through case analysis and graphical description, in view of the existing common problems in Bayes formula teaching. It can help to not only understand the Bayes formula well, but also realize the charming of Bayes formula.

关 键 词：贝叶斯公式 先验概率 后验概率 发病率 

分 类 号：G642[文化科学—高等教育学] O212.8-4[文化科学—教育学]