Acknowledgement
Supported by : 인하대학교
References
- Aitchison, J. (1986). The Statistical Analysis of Compositional Data, Chapman and Hall, New York.
- Cherubini, U., Luciano, E. and Vecchiato, W. (2004). Copula Methods in Finance, Wiley Finance Series, John Wiley & Sons Ltd.
- Cheung, K. C. (2008). Characterization of comonotonicity using convex order, Insurance: Mathematics & Economics, 43, 403-406. https://doi.org/10.1016/j.insmatheco.2008.08.002
- Dhaene, J., Denuit, M., Goovaerts, M. J., Kaas, R. and Vyncke, D. (2002). The concept of comonotonicity in actuarial science and finance: theory, Insurance: Mathematics & Economics, 31, 3-33. https://doi.org/10.1016/S0167-6687(02)00134-8
- Genest, C., Neslehova, J. and Ben Ghorbal, N. (2011). Estimators based on Kendall's tau in multivariate copula models, Australian & New Zealand Journal of Statistics, 53, 157-177. https://doi.org/10.1111/j.1467-842X.2011.00622.x
- Joe, H. (1990). Multivariate concordance, Journal of Multivariate Analysis, 35, 12-30. https://doi.org/10.1016/0047-259X(90)90013-8
- Kendall, M. G. and Smith, B. B. (1940). On the method of paired comparisons, Biometrika, 31, 324-345. https://doi.org/10.1093/biomet/31.3-4.324
- Kotz, S., Balakrishnan, N. and Johnson, N. L. (2000). Continuous Multivariate Distributions, Models and Applications, Wiley-Interscience.
- Lee, W. and Ahn, J. Y. (2013). On the Multivariate Extension of Countermonotonicity and its Application to Measures of Concordance, Manuscript for Publication.
- Nam, H. S., Tang, Q. and Yang, F. (2011). Characterization of upper comonotonicity via tail convex order, Insurance: Mathematics & Economics, 48, 368-373. https://doi.org/10.1016/j.insmatheco.2011.01.003
- Nelson, R. B. (2006). An Introduction to Copulas, Springer Series in Statistics, Springer, New York.
- Scarsini, M. (1984). On measures of concordance, Stochastica, 8, 201-218.
- Schmid, F. and Schmidt, R. (2007). Multivariate extensions of Spearman's rho and related statistics, Statistics & Probability Letters, 77, 407-416. https://doi.org/10.1016/j.spl.2006.08.007
- Sklar, M. (1959). Fonctions de repartition a n dimensions et leurs marges, Institut de Statistiques de l'Universite de Paris, 8, 229-231.
- Taylor, M. D. (2007). Multivariate measures of concordance, Annals of the Institute of Statistical Mathematics, 59, 789-806. https://doi.org/10.1007/s10463-006-0076-2
- van der Vaart, A. W. (1998). Asymptotic Statistics, Cambridge Series in Statistical and Probabilistic Mathematics, 3, Cambridge University Press, Cambridge.
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