二维随机变量的边缘分布与联合分布关系探讨

湖南理工学院本科毕业论文AbstractIn this paper,we first understand the concept and properties of the jointdistribution of two-dimensional random variables and their two basic expressions:joint probability distribution of discrete two-dimensional random variables and jointprobability density of continuous two-dimensional random variables.The method offinding the edge distribution of the joint distribution of two known random variablesis mastered.On the basis of literature research,a formal extension model oftwo-dimensional random variable distribution and edge distribution is established byusing random event element and random element set.By using extensiontransformation and conduction transformation combined with formalized knowledgeof extension reasoning,the conduction and distribution models of two-dimensionalrandom variables under extension transformation are studied.The random eventelement,random event set,extension transformation and extension reasoningknowledge are introduced into the study of two-dimensional random variabledistribution,making the analysis more formalized and logical.The extension modelof the distribution of two dimensional random variables is established by using therandom event element and the set of random element.This special case is studied indepth.The structure and nature of the two-dimensional density f(x,y)with thisproperty is analyzed,which helps us to better understand the special properties ofnormal distributionKey words:two-dimensional random variables;edge distribution;jointdistribution