一类推广的几何分布

A Kind of Generalized Geometric Distribution

在实际应用中,很多随机变量同时具备了几何分布与多项分布的统计特征,本文在此基础上构造出一种新的分布——多项几何分布.推导出多项几何分布的分布列与期望,并讨论了多项几何分布的几个特例,即三项多项分布,离散均匀多项分布,并以实例来验证了多项几何分布的实用性,最后提出了可进一步研究的问题.

In practical applications,many random variables along with the Statistical characteristics of geometric distribution and multinomial distribution. On this basis,this paper constructs a new distribution of Multinomial Geometry distribution. The distribution column and expectations were deduced. Several exceptions of the distribution, three multinomial distribution and discrete uniform multinomial distribution were discussed. And examples to verify a number of practical were provided in this distribution. Finally,the problem can be further studied.