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Table 2 PMF of bivariate binary variables

From: Multivariate distributions of correlated binary variables generated by pair-copulas

(Y1,Y2)

Probability

(0, 0)

C(q1,q2; θ)

(0, 1)

q1−C(q1,q2; θ)

(1, 0)

q2−C(q1,q2; θ)

(1, 1)

1−q1−q2+C(q1,q2; θ)

  1. Note: There are 3 parameters for this distribution, marginal means p1,p2 and copula parameter θ