We propose a copula-type representation for random couples with Bernoulli margins. Some dependence measures for binary data are re-examined. It is stressed that satisfactory dependence measure should only depend on the discrete copula, and not on the margins.
Denuit, M., Lambert, P., & Tajar, A. (2001). Copula-type representation for random couples with Bernoulli margins (STAT Discussion Paper 0118). https://hdl.handle.net/2078.5/33591