摘要
用定义直接求离散型随机变量的期望与方差有诸多共性的技巧,在计算过程中易错点也比较多.通过计算常见的离散型随机变量:泊松分布、二项分布、超几何分布、几何分布以及负二项分布的期望与方差,总结计算方法的共性特征以及计算中需要注意的事项与易错点.
Abstract
There are many common skills in directly calculating the expectation and variance of discrete random variables by definition,but many errors are prone to points in the calculation process.By calculating the expectation and variance of common discrete random variables,such as binomial distribution,hyper-geometric distribution,poisson distribution,geometric distribution and negative binomial distribution,this paper summarizes the common characteristics of calculation methods,and analyzes the matters needing attention and error prone points in calculation.
基金项目
国家自然科学基金青年基金(11901260)
贵州省科技计划(黔科合基础[2020]1Y010)
凯里学院博士专项(BS201807)