Modeling Directional Monotonicity in Sequence with Copulas
In this paper, we present the concept of being monotonic in sequence according to a specific direction for a collection of random variables. This concept broadens the existing notions of multivariate dependence, such as sequential left-tail and right-tail dependence. Furthermore, we explore connecti...
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MDPI AG
2024-11-01
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| Online Access: | https://www.mdpi.com/2075-1680/13/11/785 |
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| author | José Juan Quesada-Molina Manuel Úbeda-Flores |
| author_facet | José Juan Quesada-Molina Manuel Úbeda-Flores |
| author_sort | José Juan Quesada-Molina |
| collection | DOAJ |
| description | In this paper, we present the concept of being monotonic in sequence according to a specific direction for a collection of random variables. This concept broadens the existing notions of multivariate dependence, such as sequential left-tail and right-tail dependence. Furthermore, we explore connections with other multivariate dependence concepts, highlight key properties, and analyze the new concept within the framework of copulas. Several examples are provided to demonstrate our findings. |
| format | Article |
| id | doaj-art-237b0c533b6e49558c1239be5fbd7880 |
| institution | OA Journals |
| issn | 2075-1680 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj-art-237b0c533b6e49558c1239be5fbd78802025-08-20T02:08:02ZengMDPI AGAxioms2075-16802024-11-01131178510.3390/axioms13110785Modeling Directional Monotonicity in Sequence with CopulasJosé Juan Quesada-Molina0Manuel Úbeda-Flores1Department of Applied Mathematics, University of Granada, 18071 Granada, SpainDepartment of Mathematics, University of Almería, 04120 Almería, SpainIn this paper, we present the concept of being monotonic in sequence according to a specific direction for a collection of random variables. This concept broadens the existing notions of multivariate dependence, such as sequential left-tail and right-tail dependence. Furthermore, we explore connections with other multivariate dependence concepts, highlight key properties, and analyze the new concept within the framework of copulas. Several examples are provided to demonstrate our findings.https://www.mdpi.com/2075-1680/13/11/785copulamonotonic in sequence dependencerandom variable |
| spellingShingle | José Juan Quesada-Molina Manuel Úbeda-Flores Modeling Directional Monotonicity in Sequence with Copulas Axioms copula monotonic in sequence dependence random variable |
| title | Modeling Directional Monotonicity in Sequence with Copulas |
| title_full | Modeling Directional Monotonicity in Sequence with Copulas |
| title_fullStr | Modeling Directional Monotonicity in Sequence with Copulas |
| title_full_unstemmed | Modeling Directional Monotonicity in Sequence with Copulas |
| title_short | Modeling Directional Monotonicity in Sequence with Copulas |
| title_sort | modeling directional monotonicity in sequence with copulas |
| topic | copula monotonic in sequence dependence random variable |
| url | https://www.mdpi.com/2075-1680/13/11/785 |
| work_keys_str_mv | AT josejuanquesadamolina modelingdirectionalmonotonicityinsequencewithcopulas AT manuelubedaflores modelingdirectionalmonotonicityinsequencewithcopulas |