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Curved splicing constructions of (quasi-)copulas with given opposite track sections | ||
Iranian Journal of Fuzzy Systems | ||
دوره 21، شماره 4، مهر و آبان 2024، صفحه 81-100 اصل مقاله (5.56 M) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2024.48824.8612 | ||
نویسندگان | ||
Qiao Lou؛ Haomin Zhang* ؛ Siya Ye | ||
School of Mathematics and Statistics, Guilin University of Technology, Guilin, China | ||
چکیده | ||
In this paper, our focus is to construct (quasi-)copulas with a given opposite track section. Three different ways for constructing (quasi-)copulas with a given opposite track section are proposed and the best-possible bounds for all those (quasi-)copulas sharing a common opposite track section are also discussed. Drawing inspiration from the opposite diagonal splicing operation, we propose the curved splicing operation. We obtain that the curved splicing of any two quasi-copulas with a common opposite track section must be a quasi-copula. We also show several sufficient conditions for the curved splicing of any two copulas sharing a common opposite track section to be a copula. Furthermore, we discuss the characteristics of a copula constructed by the curved splicing operation. Finally, we construct two novel types of semilinear copulas, and by applying the curved splicing operation we obtain two additional types of semilinear copulas. | ||
کلیدواژهها | ||
Curved splicing؛ Copulas؛ Quasi-copulas؛ Best-possible bounds؛ Semilinear copulas | ||
مراجع | ||
[1] A. A. Al-Shomrani, New bivariate family of distributions based on any copula function: Statistical properties, Heliyon, 9 (2023), e15160. https://doi.org/10.1016/j.heliyon.2023.e15160 [2] C. Alsina, R. Nelsen, B. Schweizer, On the characterization of a class of binary operations on distribution functions, Statistics and Probability Letters, 17(2) (1993), 85-89. https://doi.org/10.1016/0167-7152(93)90001-Y [3] C. Amblard, S. Girard, A new extension of bivariate FGM copulas, Metrika, 70 (2009), 1-17. https://doi.org/ 10.1007/s00184-008-0174-7 [4] J. J. Arias-Garc´ıa, R. Mesiar, B. De Baets, A hitchhiker’s guide to quasi-copulas, Fuzzy Sets and Systems, 393 (2020), 1-28. https://doi.org/10.1016/j.fss.2019.06.009 [5] C. Butucea, J. F. Delmas, A. Dutfoy, R. Fischer, Maximum entropy copula with given diagonal section, Journal of Multivariate Analysis, 137 (2015), 61-81. https://doi.org/10.1016/j.jmva.2015.01.003 [6] C. M. Cuadras, J. L. Aug´e, A continuous general multivariate distribution and its properties, Communications in Statistics-Theory and Methods, 10 (1981), 339-353. https://doi.org/10.1080/03610928108828042 [7] C. M. Cuadras, J. Fortiana, J. A. Rodr´ıguez-Lallena, Distributions with given marginals and statistical modelling, Springer Netherlands, 2002. https://doi.org/10.1007/978-94-017-0061-0 [8] E. De Amo, H. De Meyer, M. D´ıaz Carrillo, J. Fern´andez-S´anchez, Characterization of copulas with given diagonal and opposite diagonal sections, Fuzzy Sets and Systems, 284 (2016), 63-77. https://doi.org/10.1016/j.fss. 2014.10.030 [9] B. De Baets, H. De Meyer, T. Jwaid, On the degree of asymmetry of a quasi-copula with respect to a curve, Fuzzy Sets and Systems, 354 (2019), 84-103. https://doi.org/10.1016/j.fss.2018.05.002 [10] B. De Baets, H. De Meyer, J. Kalick´a, R. Mesiar, Flipping and cyclic shifting of binary aggregation functions, Fuzzy Sets and Systems, 160 (2009), 752-765. https://doi.org/10.1016/j.fss.2008.03.008 [11] B. De Baets, H. De Meyer, J. Kalick´a, R. Mesiar, On the relationship between modular functions and copulas, Fuzzy Sets and Systems, 268 (2015), 110-126. https://doi.org/10.1016/j.fss.2014.07.024 [12] B. De Baets, H. De Meyer, R. Mesiar, Asymmetric semilinear copulas, Kybernetika, 43 (2007), 221-233. https: //www.kybernetika.cz/content/2007/2/221/paper.pdf [13] B. De Baets, H. De Meyer, M. ´Ubeda-Flores, Opposite diagonal sections of quasi-copulas and copulas, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 17 (2009), 481-490. https://doi.org/10.1142/ S0218488509006108 [14] M. Denuit, J. Dhaene, G. Marc, R. Kaas, Actuarial theory for dependent risks: Measures, orders and models, John Wiley and Sons, Ltd, 2005. https://doi.org/10.1002/0470016450 [15] F. Durante, J. Fern´andez-S´anchez, R. Pappad´a, Copulas, diagonals, and tail dependence, Fuzzy Sets and Systems, 264 (2015), 22-41. https://doi.org/10.1016/j.fss.2014.03.014 [16] F. Durante, A. Koles´arov´a, R. Mesiar, C. Sempi, Semilinear copulas, Fuzzy Sets and Systems, 159 (2008), 63-76. https://doi.org/10.1016/j.fss.2007.09.001 [17] F. Durante, R. Mesiar, P. L. Papini, C. Sempi, 2-Increasing binary aggregation operators, Information Sciences, 177(1) (2007), 111-129. https://doi.org/10.1016/j.ins.2006.04.006 [18] F. Durante, J. A. Rodr´ıguez-Lallena, M. ´Ubeda-Flores, New constructions of diagonal patchwork copulas, Information Science, 179 (2009), 3383-3391. https://doi.org/10.1016/j.ins.2009.06.007 [19] P. Embrechts, A. H¨oing, A. Juri, Using copulae to bound the Value-at-Risk for functions of dependent risks, Finance and Stochastics, 7 (2003), 145-167. https://doi.org/10.1007/s007800200085 [20] M. Esfahani, M. Amini, G. R. Mohtashami-Borzadaran, A. Dolati, A new copula-based bivariate Gompertz– Makeham model and its application to COVID-19 mortality data, Iranian Journal of Fuzzy Systems, 20(3) (2023), 159-175. https://doi.org/10.22111/IJFS.2023.7645 [21] J. Fern´andez-S´anchez, M. ´Ubeda-Flores, Copulas with given track and opposite track sections: Solution to a problem on diagonals, Fuzzy Sets and Systems, 308 (2017), 133-137. https://doi.org/10.1016/j.fss.2016.06.011
[22] H. Joe, Multivariate models and multivariate dependence concepts, Taylor and Francis, 1997. https://doi.org/ 10.1201/9780367803896 [23] T. Jwaid, Semilinear and semiquadratic conjunctive aggregation functions, PhD Thesis, Ghent University, 2014. https://biblio.ugent.be/publication/5702047 [24] T. Jwaid, B. De Baets, H. De Meyer, Biconic aggregation functions, Information Sciences, 187 (2012), 129-150. https://doi.org/10.1016/j.ins.2011.10.012 [25] T. Jwaid, B. De Baets, H. De Meyer, Ortholinear and paralinear semi-copulas, Fuzzy Sets and Systems, 252 (2014), 76-98. https://doi.org/10.1016/j.fss.2014.02.004 [26] T. Jwaid, H. De Meyer, A. Haj Ismail, B. De Baets, Curved splicing of copulas, Information Sciences, 556 (2021), 95-110. https://doi.org/10.1016/j.ins.2020.12.053 [27] A. W. Marshall, I. Olkin, A multivariate exponential distribution, Journal of the American Statistical Association, 62 (1967), 30-44. https://doi.org/10.2307/2282907 [28] R. B. Nelsen, An introduction to copulas, Springer, New York, 2006. https://link.springer.com/book/10. 1007/0-387-28678-0 [29] R. B. Nelsen, J. H. Quesada-Molina, J. A. Rodr´ıguez-Lallena, M. ´Ubeda-Flores, On the construction of copulas and quasi-copulas with given diagonal sections, Insurance Mathematics and Economics, 42 (2008), 473-483. https: //doi.org/10.1016/j.insmatheco.2006.11.011 [30] J. A. Rodr´ıguez-Lallena, M. ´Ubeda-Flores, Some new characterizations and properties of quasi-copulas, Fuzzy Sets and Systems, 160 (2009), 717-725. https://doi.org/10.1016/j.fss.2008.02.007 [31] A. Sancetta, S. E. Satchell, The bernstein copula and its applications to modeling and approximations of multivariate distributions, Econometric Theory, 20 (2004), 535-562. https://doi.org/10.1017/S026646660420305X [32] M. Sklar, Fonctions de repartition a n-dimensions et leurs marges, Publications de l’Institut de statistique de l’Universite de Paris, 8 (1959), 229-231. https://hal.science/hal-04094463/document [33] J. H. Xie, B. Y. Wu, W. Zou, C. Y. Jiang, Curvilinear patchwork constructions of (quasi-)copulas with given curvilinear sections, Fuzzy Sets and Systems, 473 (2023), 108720. https://doi.org/10.1016/j.fss.2023.108720 [34] C. Z. Yao, M. J. Li, GARCH-MIDAS-GAS-copula model for CoVaR and risk spillover in stock markets, North American Journal of Economics and Finance, 66 (2023), 101910. https://doi.org/10.1016/j.najef.2023. 101910 [35] M. H. Zhang, Modelling total tail dependence along diagonals, Insurance: Mathematics and Economics, 42 (2008), 73-80. https://doi.org/10.1016/j.insmatheco.2007.01.002 [36] W. Zou, L. L. Sun, J. H. Xie, Best-possible bounds on the sets of copulas and quasi-copulas with given curvilinear sections, Fuzzy Sets and Systems, 441 (2022), 335-365. https://doi.org/10.1016/j.fss.2021.12.008 | ||
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