Total positivity and dependence of order statistics

被引：3

作者：

de Amo, Enrique ^{[1
]}

Quesada-Molina, Jose Juan ^{[2
]}

Ubeda-Flore, Manuel ^{[1
]}

机构：

[1] Univ Almeria, Dept Math, Almeria 04120, Spain

[2] Univ Granada, Dept Appl Math, Granada 18071, Spain

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 12期

关键词：

density function; dependence concept; failure rate; order statistic; random variable; total positivity;

D O I：

10.3934/math.20231570

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：30717 / 30730

页数：14

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