Total positivity and dependence of order statistics
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915104638894080 |
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| author | de Amo, Enrique Quesada-Molina, José Juan Úbeda-Flores, Manuel |
| author_facet | de Amo, Enrique Quesada-Molina, José Juan Úbeda-Flores, Manuel |
| contents | 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 | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_08939 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Total positivity and dependence of order statistics de Amo, Enrique Quesada-Molina, José Juan Úbeda-Flores, Manuel Statistics Theory Probability 60E15, 62G30 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. |
| title | Total positivity and dependence of order statistics |
| topic | Statistics Theory Probability 60E15, 62G30 |
| url | https://arxiv.org/abs/2501.08939 |