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...
Main Authors: | , , |
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Format: | info:eu-repo/semantics/article |
Language: | English |
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2023
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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. |
format | info:eu-repo/semantics/article |
id | oai:repositorio.ual.es:10835-14931 |
institution | Universidad de Cuenca |
language | English |
publishDate | 2023 |
record_format | dspace |
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 |
work_keys_str_mv | AT amoarteroenriquede totalpositivityanddependenceoforderstatistics AT quesadamolinajosejuan totalpositivityanddependenceoforderstatistics AT ubedafloresmanuel totalpositivityanddependenceoforderstatistics |