本文首次给出了二元几何分布的定义及其主要性质,并针对二元几何分布串联系统给出了参数的矩估计和极大似然估计,同时通过大量Monte-Carlo模拟考察了估计的精度,文章最后通过Monte-Carlo数值例子来说明方法的运用.
In this paper we propose the definition and properties of a bivariate geometrical distribution for the first time. The moment estimation and the maximum likelihood estimation of parameters for a series system which has a bivariate geometrical distribution are obtained. The precision of estimations is investigated by a great deal of Monte-Carlo simulations. Finally, the application of the method is explained by the examples of Monte-Carlo data.