Total positivity and dependence of order statistics

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 establis...

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Main Authors: Amo Artero, Enrique de, Quesada Molina, José Juan, Úbeda Flores, Manuel
Format: info:eu-repo/semantics/article
Language:English
Published: 2023
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20231570
http://hdl.handle.net/10835/14931
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author Amo Artero, Enrique de
Quesada Molina, José Juan
Úbeda Flores, Manuel
author_facet Amo Artero, Enrique de
Quesada Molina, José Juan
Úbeda Flores, Manuel
author_sort Amo Artero, Enrique de
collection DSpace
description 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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spelling oai:repositorio.ual.es:10835-149312023-12-22T12:25:59Z Total positivity and dependence of order statistics Amo Artero, Enrique de Quesada Molina, José Juan Úbeda Flores, Manuel density function dependence concept failure rate order statistic random variable total positivity 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. 2023-12-22T12:25:59Z 2023-12-22T12:25:59Z 2023 info:eu-repo/semantics/article 2473-6988 https://www.aimspress.com/article/doi/10.3934/math.20231570 http://hdl.handle.net/10835/14931 10.3934/math.20231570 en Attribution-NonCommercial-NoDerivatives 4.0 Internacional http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess
spellingShingle density function
dependence concept
failure rate
order statistic
random variable
total positivity
Amo Artero, Enrique de
Quesada Molina, José Juan
Úbeda Flores, Manuel
Total positivity and dependence of order statistics
title Total positivity and dependence of order statistics
title_full Total positivity and dependence of order statistics
title_fullStr Total positivity and dependence of order statistics
title_full_unstemmed Total positivity and dependence of order statistics
title_short Total positivity and dependence of order statistics
title_sort total positivity and dependence of order statistics
topic density function
dependence concept
failure rate
order statistic
random variable
total positivity
url https://www.aimspress.com/article/doi/10.3934/math.20231570
http://hdl.handle.net/10835/14931
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