微积分引入概率密度研究的教学设计
Teaching Design of Introducing Calculus into Probability Density Research
顾勇为 1李新娜 1李国重 1郭淑妹 1张宁1
作者信息
- 1. 信息工程大学 基础部,河南 郑州 450002
- 折叠
摘要
从直方图分析入手,剖析非等距分组概率平均密度直方图以及相应函数的数学实质,为概率密度概念的确立提供了路径.用微积分推导了指数分布的分布函数,展现了获得概率分布的数学建模方法,为微积分引入概率密度研究的教学设计提供了参考.
Abstract
Starting with the histogram analysis,analyzed the probability mean density histogram of non-isometric grouping and the mathematical essence of the corresponding function,which lays a thinking path for the establish-ment of the concept of probability density.At last,the exponential distribution function is derived by calculus,and the mathematical modeling method of probability distribution is presented.This provides some reference for how to introduce calculus into probability density research.
关键词
概率密度/概念/直方图/教学设计/微积分Key words
probability density/concept/histogram/teaching design/calculus引用本文复制引用
基金项目
军队高层次科技创新人才自主科研项目(A6901)
信息工程大学教改项目(JXYJ2024C011)
出版年
2024
NETL
NSTL
万方数据