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Can we join CDF(cumulative density function) and Survival function like this in copula construction

$$ H\left(x_1,x_2,x_3\right)=Pr\left(X_1<x_1,X_2>x_2,X_3<x_3\right) $$ or $$ H\left(x_1,x_2,x_3\right)=C\left(F_1\left(x_1\right), 1-F_2\left(x_2\right),F_3\left(x_3\right)\right)$$ or $$H\left(x_1,x_2,x_3\right)=C\left(F_1\left(x_1\right), S_2\left(x_2\right),F_3\left(x_3\right)\right) $$

md2perpe
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SAAN
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  • This is neither about distributions as covered by the tag distribution-theory, not about multi-valued functions (used in complex analysis) as far as I can see. I can understand why the former tag was used (it's a common confusion), but not why the latter tag was used. – md2perpe Jul 18 '19 at 14:26

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