二项分布和泊松分布的正态近似条件分析  

An Analysis of the Normal Approximation of Bernoulli and Poisson Distribution

作　　者：杜勋明[1,2] 陈冬娥 姚云[1,2] 

机构地区：[1]基础医学院医学统计学教研室 [2]湖北省卫生厅

出　　处：《湖北医科大学学报》1998年第2期123-125,共3页

摘　　要：依据近似精度，结合医学实例，对分布的近似条件进行了分析。结论如下，二项分布近似泊松分布的条件是Ｐ＜０．１。泊松分布近似正态分布的条件是λ≥１０。二项分布近似正态分布的条件是下列之一：ａ．Ｐ＜０．１，ｎｐ≥１０，ｂ．０．１≤Ｐ＜０．２，ｎ≥６０，ｃ．０．２≤Ｐ≤０．９，ｎ≥３０。We have analyzed the approximate conditions of distributions based upon the approximately accurate requirements. A medical problem is used as an example. The results are as follows:Bernoulli distribution approximates to poisson distribution in case of P<0.1. When λ≥10, Poisson distribution is the approximation of normal distribution. Bernoulli distribution approximates to normal distribution if one of the following conditions is satisfied, that is, a. P<0.1, np≥10, b. 0.1≤P<0.2 n≥60, c. 0.2,≤P≤0.9, n≥30.

关 键 词：正态分布 泊松分布 二项分布 医用数学 

分 类 号：R311[医药卫生—基础医学] O212.2[理学—概率论与数理统计]