Total positivity and dependence of order statistics Amo, Enrique de Quesada Molina, José Juan Úbeda-Flores, Manuel Density function Dependence concept Failure rate In this comprehensive study, we delve deeply into the concept of multivariate total positivity, defining it in accordance with a direction. We rigorously explore numerous salient properties, shedding light on the nuances that characterize this notion. Furthermore, our research extends to establishing distinct forms of dependence among the order statistics of a sample from a distribution function. Our analysis aims to provide a nuanced understanding of the interrelationships within multivariate total positivity and its implications for statistical analysis and probability theory. 2024-05-07T10:49:10Z 2024-05-07T10:49:10Z 2023-11-14 info:eu-repo/semantics/article Enrique de Amo, José Juan Quesada-Molina, Manuel Úbeda-Flores. Total positivity and dependence of order statistics[J]. AIMS Mathematics, 2023, 8(12): 30717-30730. [doi: 10.3934/math.20231570] https://hdl.handle.net/10481/91495 10.3934/math.20231570 eng http://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess Atribución 4.0 Internacional AIMS Press