摘要
本文利用抽象代数的相关理论,研究了一类服从指数族分布且相互独立的随机变量构成的集合对于加法运算的代数结构,证明了其代数结构是一个半群,并且这个半群是个交换半群。
In this paper, by using the related theory of abstract algebra, the algebra structure of addition operation for a class of set constructed by the independent random variables satisfying the exponential family distribution is researched. We proved that the algebraic structure is a semigroup, and this Semi-group is a commutative semigroup.
出处
《理论数学》
2017年第2期99-103,共5页
Pure Mathematics
基金
国家自然科学基金资助项目(11671104)。
