On the properties of some nonparametric concordance measures in the discrete case

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Copula-Based Models for Multivariate Discrete Response Data (2013, background): “However for discrete data the marginal distributions also play a role on dependence, and τ does not attain the boundary values of ±1, because the probability of ties Pt = 1− (Pc+Pd) is positive; see [5, 33, 38].”
Copula-Based Measures of Multivariate Association (2010, methodology): “Regarding the case of non-continuous marginal distributions, we refer to Vandenhende and Lambert [112], Nešlehová [80, 81], Denuit and Lambert [19], Mesfioui and Tajar [75], Genest and Nešlehová [37] as well as Feidt et al.”
A Primer on Copulas for Count Data (2007, background): “For various proofs of identity (7), see Denuit and Lambert (2005), Mesfioui and Tajar (2005) or Neslehová (2007).”
Regression in a copula model for bivariate count data (2010, background): “Denuit and Lambert [6], Mesfioui and Tajar [21], and Nes̆lehová [25] studied the behavior of Kendall’s tau applied to discrete data.”