负二项分布的两种近似分布及其比较

负二项分布是一个重要的离散型随机变量的分布,可以用泊松分布和正态分布作为其近似分布,通过对两种近似分布进行比较分析,结果表明：在参数q很小时,泊松近似的精度好于正态近似,而且在参数q很小时,即便r不是很大,用泊松分布也能获得负二项分布较好的近似;当参数q较大时,泊松近似效果不好,相比之下,正态近似的结果不错。

Two kind of Approximate Distributions of Negative Binomial Distribution and It's Comparison

The negative binomial distribution is an important discrete random variable distribution and may use the poisson distribution and the normal distribution as its approximate distribution.The comparative analysis to two kind of approximate distributions has been carried on and the results indicated: When parameter q is very small,poisson approximation has better accuracy than normal approximation,moreover,even if r is not very big,good approximation can also been obtained with the poisson distribution.When pa...