“Sklar's Theorem”的概念、定义、习题解题方法及翻译-数学辞典

单词

Sklar's Theorem

释义

Sklar's Theorem

Let be a 2-D distribution function with marginal distribution functions and . Then there exists a Copula such that

Conversely, for any univariate distribution functions

and

and any Copula

, the function

is atwo-dimensional distribution function with marginals

and

. Furthermore, if

and

are continuous, then

isunique.

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