Monotonic Random Variables According to a Direction
Metadatos
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MDPI
Materia
Monotonic dependence Random variable Total positivity
Date
2024-04-20Referencia bibliográfica
Quesada-Molina, J.J.; Úbeda-Flores, M. Monotonic Random Variables According to a Direction. Axioms 2024, 13, 275. https://doi.org/10.3390/axioms13040275
Patrocinador
Ministry of Science and Innovation (Spain) grant number PID2021-122657OB-I00Résumé
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.