Monotonic Random Variables According to a Direction Quesada Molina, José Juan Úbeda-Flores, Manuel Monotonic dependence Random variable Total positivity In this paper, we introduce the concept of monotonicity according to a direction for a set of random variables. This concept extends well-known multivariate dependence notions, such as corner set monotonicity, and can be used to detect dependence in multivariate distributions not detected by other known concepts of dependence. Additionally, we establish relationships with other known multivariate dependence concepts, outline some of their salient properties, and provide several examples. 2024-06-04T08:16:47Z 2024-06-04T08:16:47Z 2024-04-20 journal article Quesada-Molina, J.J.; Úbeda-Flores, M. Monotonic Random Variables According to a Direction. Axioms 2024, 13, 275. https://doi.org/10.3390/axioms13040275 https://hdl.handle.net/10481/92297 10.3390/axioms13040275 eng http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional MDPI