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arXiv · 2501.08939

Total positivity and dependence of order statistics

Enrique de Amo·José Juan Quesada-Molina·Manuel Úbeda-Flores
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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.

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Enrique de Amo, José Juan Quesada-Molina, Manuel Úbeda-Flores. 2025-01-15. Total positivity and dependence of order statistics. https://doi.org/10.3934/math.20231570

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