Total positivity and dependence of order statistics
Statistics Theory
2025-01-16 v1 Probability
Statistics Theory
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.
Keywords
Cite
@article{arxiv.2501.08939,
title = {Total positivity and dependence of order statistics},
author = {Enrique de Amo and José Juan Quesada-Molina and Manuel Úbeda-Flores},
journal= {arXiv preprint arXiv:2501.08939},
year = {2025}
}