【摘要】 为了研究两个不同类型随机变量的关联及算法,提出了二维混合关联和二维混合单关联的概念,以及二维混合关联的两个基本模型。建构了二维混合单关联的两个基本模型。建构了二维混合型随机变量,给出了二维混合密度的精确定义,推出了求解关联变量自身分布的算法,对于关联模型Y(X),Y的边缘密度为pY(y)=∑kp(xk,y),y∈R,对于关联模型X(Y),X的边缘分布列为pX(xk)=∫Rp(xk,y)dy,k=1,2,…。再利用重期望公式,推出求解了关联变量自身分布的数学期望的简化算式。更多还原

【Abstract】 In order to research the two different types of random variants,and their arithmetic,this article raises the concept of two-dimensional mixed conjunctions,two-dimensional mixed single conjunctions,and two basic models of two-dimensional mixed single conjunctions.On the basis of determined research target,the author builds random variants of two-dimensional mixed conjunction,provides a precise definition on the density of two-dimensional mix,and works out the arithmetic and theorem of solving the distribution of the conjunction variants themselves.For the conjunction model Y(X),the marginal density of Y pY(y)=∑kp(xk,y),y∈R,and for the conjunction model X(Y),the marginal distribution the row X is pX(xk)=∫Rp(xk,y)dy,k=1,2,… The author then moves on to utilize repeatable formulas and works out simplified arithmetic for mathematic expectancy of solving the conjunction variants’ distributions.The article exemplifies the use of various kinds of arithmetric and finally summarizes the applicaion of two dimensional mixed conjunctions by demonstrating an application example.更多还原