具有部分缺失数据混合几何分布总体的参数估计

Parameter Estimation of Mixed Geometric Distribution with Partial Missing Data

在部分数据缺失情形下,研究混合几何分布总体参数的矩估计,证明了此估计量的强相合性及其渐近正态性质.通过随机模拟,给出不同样本容量下总体参数估计的均方误差,模拟结果显示均方误差较小,说明此方法具有可行性.

In the case of partial missing data,this paper studies the moment estimation of the population parameter of mixed geometric distribution,and proves the strong consistency and asymptotic normality of the estimator.In addition,by means of random simulation,the mean square error of population parameter estimation under different sample sizes is given.The simulation results show that the mean square error is small,so this method is feasible.