Abstract
In this paper, we review some recent contributions to multivariate measures of asymmetric associations, i.e., associations in an n-dimension random vector, where \(n >1\). Specially, we pay more attention on measures of complete dependence (or functional dependence). Nonparametric estimators of several measures are provided and comparisons among several measures are given.
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References
Agresti, A.: An Introduction to Categorical Data Analysis, vol. 135. Wiley, New York (1996)
Boonmee, T., Tasena, S.: Measure of complete dependence of random vectors. J. Math. Anal. Appl. 443(1), 585–595 (2016)
Durante, F., Sempi, C.: Principles of Copula Theory. CRC Press, Boca Raton (2015)
Li, H., Scarsini, M., Shaked, M.: Linkages: a tool for the construction of multivariate distributions with given nonoverlapping multivariate marginals. J. Multivar. Anal. 56(1), 20–41 (1996)
Nelsen, R.B.: An Introduction to Copulas. Springer, New York (2007)
Shan, Q., Wongyang, T., Wang, T., Tasena, S.: A measure of mutual complete dependence in discrete variables through subcopula. Int. J. Approx. Reason. 65, 11–23 (2015)
Siburg, K.F., Stoimenov, P.A.: A measure of mutual complete dependence. Metrika 71(2), 239–251 (2010)
Sklar, M.: Fonctions de répartition á n dimensions et leurs marges. Université Paris 8 (1959)
Tasena, S., Dhompongsa, S.: A measure of multivariate mutual complete dependence. Int. J. Approx. Reason. 54(6), 748–761 (2013)
Tasena, S., Dhompongsa, S.: Measures of the functional dependence of random vectors. Int. J. Approx. Reason. 68, 15–26 (2016)
Wei, Z., Kim, D.: Subcopula-based measure of asymmetric association for contingency tables. Stat. Med. 36(24), 3875–3894 (2017)
Wongyang, T.: Copula and measures of dependence. Resarch notes, New Mexico State University (2015)
Zhang, Y., Song, M.: Deciphering interactions in causal networks without parametric assumptions. arXiv preprint arXiv:1311.2707 (2013)
Zhong, H., Song, M.: A fast exact functional test for directional association and cancer biology applications. IEEE/ACM Trans. Comput. Biol. Bioinform. (2018)
Zhu, X., Wang, T., Choy, S.B., Autchariyapanitkul, K.: Measures of mutually complete dependence for discrete random vectors. In: International Conference of the Thailand Econometrics Society, pp. 303–317. Springer (2018)
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Zhu, X., Wang, T., Zhang, X., Wang, L. (2019). Comparisons on Measures of Asymmetric Associations. In: Kreinovich, V., Thach, N., Trung, N., Van Thanh, D. (eds) Beyond Traditional Probabilistic Methods in Economics. ECONVN 2019. Studies in Computational Intelligence, vol 809. Springer, Cham. https://doi.org/10.1007/978-3-030-04200-4_15
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DOI: https://doi.org/10.1007/978-3-030-04200-4_15
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