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 |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20231570 http://hdl.handle.net/10835/14931 |
| Summary: | 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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