@misc{10481/92297, year = {2024}, month = {4}, url = {https://hdl.handle.net/10481/92297}, abstract = {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.}, organization = {Ministry of Science and Innovation (Spain) grant number PID2021-122657OB-I00}, publisher = {MDPI}, keywords = {Monotonic dependence}, keywords = {Random variable}, keywords = {Total positivity}, title = {Monotonic Random Variables According to a Direction}, doi = {10.3390/axioms13040275}, author = {Quesada Molina, José Juan and Úbeda-Flores, Manuel}, }