Modelling toroidal and cylindrical data via the trivariate wrapped Cauchy copula with non-uniform marginals
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915615575375872 |
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| author | Loizidou, Sophia Ley, Christophe Kato, Shogo Mardia, Kanti V. |
| author_facet | Loizidou, Sophia Ley, Christophe Kato, Shogo Mardia, Kanti V. |
| contents | In this paper, we propose a new flexible family of distributions for data that consist of three angles, two angles and one linear component, or one angle and two linear components. To achieve this, we equip the recently proposed trivariate wrapped Cauchy copula with non-uniform marginals and develop a parameter estimation procedure. We compare our model to its main competitors for analyzing trivariate data and provide some evidence of its advantages. We illustrate our new model using toroidal data from protein bioinformatics of conformational angles, and cylindrical data from climate science related to buoy in the Adriatic Sea. The paper is motivated by these real trivariate datasets. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_10336 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Modelling toroidal and cylindrical data via the trivariate wrapped Cauchy copula with non-uniform marginals Loizidou, Sophia Ley, Christophe Kato, Shogo Mardia, Kanti V. Methodology 62H11 In this paper, we propose a new flexible family of distributions for data that consist of three angles, two angles and one linear component, or one angle and two linear components. To achieve this, we equip the recently proposed trivariate wrapped Cauchy copula with non-uniform marginals and develop a parameter estimation procedure. We compare our model to its main competitors for analyzing trivariate data and provide some evidence of its advantages. We illustrate our new model using toroidal data from protein bioinformatics of conformational angles, and cylindrical data from climate science related to buoy in the Adriatic Sea. The paper is motivated by these real trivariate datasets. |
| title | Modelling toroidal and cylindrical data via the trivariate wrapped Cauchy copula with non-uniform marginals |
| topic | Methodology 62H11 |
| url | https://arxiv.org/abs/2511.10336 |