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Multivariate Probability Distributions Random Vectors and Joint Probability Distributions Random Vectors and Joint Probability Distributions This suggests that the joint distribution Fxy(x,y)can be de- composed into two separate components:the marginal distribu- tions Fx()and Fy()on one hand,and the "pure"dependence function C(,)between X and Y on the other hand. C(,)only specifies the dependence or association between X and Y regardless of their marginal distributions.It separates the marginal behaviors from the association between X and Y. Given the functional form C(,),different marginal distribu- tions will yield different joint distributions of (X,Y). The copula has been widely used in financial econometrics and financial industries,to model comovements among markets or among assets. Multivariate Probability Distributions Introduction to Statistics and Econometrics July1,2019 12/370Multivariate Probability Distributions Multivariate Probability Distributions Introduction to Statistics and Econometrics July 1, 2019 12/370 Random Vectors and Joint Probability Distributions Random Vectors and Joint Probability Distributions
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