二项分布是一种具有广泛用途的离散型随机变量的概率分布。针对二项分布应用的局限性,提出一种基于二项分布的改进模型,即通过引入控制参数,扩展了二项分布的适用范围,使其处理的数据来源既能满足二项分布的特点,又能满足数据集自身的相关特性。最后通过构造矩方程和极大似然方程可求出估计参数。
Probability of binomial distribution is a broad use of discrete distribution of random variables. Aiming at the limitations for application of the binomial distribution, an improved model is proposed,which is based on binomial distribution. The scope of binomial distribution is expanded by introducing the control parameters, which makes the processed data source meet the binomial distribution characteristics as well as their own relevant characteristics of the data sets. Finally,the values of the parameters are obtained by constructing the moment equation or the maximum likelihood parameter estimation equation.