@misc{10481/91495,
year = {2023},
month = {11},
url = {https://hdl.handle.net/10481/91495},
abstract = {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.},
organization = {ERDF Andalucía 2014-2020 (University of Almería) under research project UAL2020-AGR-B1783},
organization = {Project PID2021-122657OB-I00 by the Ministry of Science and Innovation (Spain)},
organization = {Partially supported by the CDTIME of the University of Almería},
publisher = {AIMS Press},
keywords = {Density function},
keywords = {Dependence concept},
keywords = {Failure rate},
title = {Total positivity and dependence of order statistics},
doi = {10.3934/math.20231570},
author = {Amo, Enrique de and Quesada Molina, José Juan and Úbeda-Flores, Manuel},
}