Shared support for the exact-region developments #
The modules under Copula.Rank.Region.Common (namespace
ProbabilityTheory.Copula.RankRegion.Common) collect the auxiliary results that the
XiRho, XiBlest, XiBeta, TauFootruleBeta and MeanVariance region developments
share: centered ordinal sums with a countermonotonic block, diagonal-band and two-strip
copulas, finite increasing shuffles, conditional-copula constructions, stochastic
monotonicity bounds relating ξ, ρ and the footrule, ramp and tent integrals, measurable
functional witnesses, and continuity along mixtures.
The historical module paths Copula.Rank.Region.<X>.Support.* (and
Copula.Rank.Region.XiBeta.{TwoStrip,TentIntegral}) remain as thin compatibility modules
that export these declarations into their original namespaces, so every old name
denotes the same constant as its Common counterpart.