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Elliptical pair copulas

The default elliptical families are Gaussian and Student-t.

FamilyParameters used in pair modelsTypical role
Gaussiancorrelation symmetric dependence without tail dependence
Student-tcorrelation , degrees of freedom symmetric dependence with heavier joint tails

Both base families admit positive and negative association, so automatic selection does not create rotated duplicates for them.

julia
C1 = GaussianCopula(2, 0.6)
C2 = TCopula(5.0, [1.0 0.6; 0.6 1.0])

The Student-t family is numerically validated but remains a performance target because repeated scalar t-CDF and t-quantile evaluations are comparatively expensive.