Research Article

A Graphical Tool for Extreme Value Copula Selection Based on the Pickands Dependence Function

Volume: 14 Number: 2 December 31, 2022
EN

A Graphical Tool for Extreme Value Copula Selection Based on the Pickands Dependence Function

Abstract

We present a graphical tool that was primarily proposed by Michiels et al. [18] and later modified by Durante et al. [4]. We also improve this method to select the better fit of the given data among some extreme value copulas based on the Pickands dependence function. We conduct a Monte Carlo simulation study to investigate its performance. Also, the graphical method is illustrated by a real data example.

Keywords

References

  1. Ahmadabadi, A. and Ucer, B.H. (2017). Bivariate nonparametric estimation of the Pickands dependence function using Bernstein copula with kernel regression approach. Computitional Statistics, 32, 1515-1532.
  2. Brechmann, E.C. (2013). Properties of extreme-value copulas. [Thesis, Technical University of Munich].
  3. Capéraà, P., Fougres, A.L. and Genest, C. (1997). A nonparametric estimation procedure for bivariate extreme value copulas. Biometrika, 84, 567-577.
  4. Durante, F., Fernández-Sánchez, J. and Pappad´a, R. (2015). Copulas, diagonals and tail dependence. Fuzzy Sets and Systems, 264, 22-41.
  5. Dutfoy, A., Parey, S. and Roche, N. (2017). Multivariate extreme value theory-A tutorial with applications to hydrology and meteorology. Dependence Modeling, 2, 30-48.
  6. Frees, E. and Valdez, E. (1998). Understanding relationships using copulas. North American Actuarial Journal, 2, 1-25.
  7. Galambos, J. (1975). Order statistics of samples from multivariate distributions. Journal of the American Statistical Association, 70, 674-680.
  8. Genest, C., Kojadinovic, I., Néslehová, J. and Yan, J. (2011). A goodness-of-fit test for bivariate extremevalue copulas. Bernoulli, 17(1), 253-275.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Publication Date

December 31, 2022

Submission Date

February 23, 2021

Acceptance Date

September 16, 2021

Published in Issue

Year 2022 Volume: 14 Number: 2

APA
Susam, S. O. (2022). A Graphical Tool for Extreme Value Copula Selection Based on the Pickands Dependence Function. Istatistik Journal of The Turkish Statistical Association, 14(2), 38-50. https://izlik.org/JA88RT53RU
AMA
1.Susam SO. A Graphical Tool for Extreme Value Copula Selection Based on the Pickands Dependence Function. IJTSA. 2022;14(2):38-50. https://izlik.org/JA88RT53RU
Chicago
Susam, Selim Orhun. 2022. “A Graphical Tool for Extreme Value Copula Selection Based on the Pickands Dependence Function”. Istatistik Journal of The Turkish Statistical Association 14 (2): 38-50. https://izlik.org/JA88RT53RU.
EndNote
Susam SO (December 1, 2022) A Graphical Tool for Extreme Value Copula Selection Based on the Pickands Dependence Function. Istatistik Journal of The Turkish Statistical Association 14 2 38–50.
IEEE
[1]S. O. Susam, “A Graphical Tool for Extreme Value Copula Selection Based on the Pickands Dependence Function”, IJTSA, vol. 14, no. 2, pp. 38–50, Dec. 2022, [Online]. Available: https://izlik.org/JA88RT53RU
ISNAD
Susam, Selim Orhun. “A Graphical Tool for Extreme Value Copula Selection Based on the Pickands Dependence Function”. Istatistik Journal of The Turkish Statistical Association 14/2 (December 1, 2022): 38-50. https://izlik.org/JA88RT53RU.
JAMA
1.Susam SO. A Graphical Tool for Extreme Value Copula Selection Based on the Pickands Dependence Function. IJTSA. 2022;14:38–50.
MLA
Susam, Selim Orhun. “A Graphical Tool for Extreme Value Copula Selection Based on the Pickands Dependence Function”. Istatistik Journal of The Turkish Statistical Association, vol. 14, no. 2, Dec. 2022, pp. 38-50, https://izlik.org/JA88RT53RU.
Vancouver
1.Selim Orhun Susam. A Graphical Tool for Extreme Value Copula Selection Based on the Pickands Dependence Function. IJTSA [Internet]. 2022 Dec. 1;14(2):38-50. Available from: https://izlik.org/JA88RT53RU