This paper aims to investigate the constraints on dependence measures based on the concept of concordance when discrete random variables are involved. The main technical argument consists in a continuous extension of integer-valued random variables by convolution with unit support kernels.
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Louvain School of Management
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Denuit, M., & Lambert, P. (2005). Constraints on concordance measures in bivariate discrete data. Journal of Multivariate Analysis, 93, 40-57. https://doi.org/10.1016/j.jmva.2004.01.004 (Original work published 2005)