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Copula.Order.AMH

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Exact lower-orthant parameter ordering of Ali–Mikhail–Haq copulas #

theorem ProbabilityTheory.Copula.lowerOrthantLE_amh_iff {θ η : ℝ} (hθmin : -1 ≤ θ) (hθmax : θ ≤ 1) (hηmin : -1 ≤ η) (hηmax : η ≤ 1) :
(amh θ hθmin hθmax).LowerOrthantLE (amh η hηmin hηmax) ↔ θ ≤ η

AMH copulas are ordered by their parameters, with no missing comparisons.