This paper explores the monotonicity with respect to concordance ordering of Kendall’s [tau] and Spearman’s ρ for counting random variables with an unbounded support. This gen- eralizes some results of Schweizer and Wolff (1981) and Tchen (1980).
Denuit, M., Mesfioui, M., & Tajar, A. (2001). On the monotonicity of some nonparametric dependence measures with respect to concordance ordering (STAT Discussion Paper 0142). https://hdl.handle.net/2078.5/33493