Research Article

Archimedean Copula Estimation Parameter with Kendall Distribution Function

Volume: 38 Number: 4 December 8, 2017
Ayşe Metın Karakas , Murat Karakas , Mine Dogan
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Archimedean Copula Estimation Parameter with Kendall Distribution Function

Abstract

In the literature, up to now, it is common that for Gumbel, Clayton and Frank calculated Kendall Distribution function  and to the extent those applications have been made. In this paper, we made Kendall Distribution function calculation for Ali Mikhail Haq and Joe and in relation that simulation study. We generated dependent gamma distribution. For dependency between these variables we used Archimedean copula. In connection with this, we define basic properties of copulas and their nonparametric method. In this study, to explain the relationship between the variables, five Archimedean copula families were used; Gumbel, Clayton, Frank Joe and Ali Mikhail Haq. We obtained nonparametric estimation of these copula families parameters and the suitable Archimedean copula family for this data set.

Keywords

Copula Function,Archimedean Copula,Kendall Tau,Kendall Distribution Function

References

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APA
Metın Karakas, A., Karakas, M., & Dogan, M. (2017). Archimedean Copula Estimation Parameter with Kendall Distribution Function. Cumhuriyet Science Journal, 38(4), 619-625. https://doi.org/10.17776/csj.348292
AMA
1.Metın Karakas A, Karakas M, Dogan M. Archimedean Copula Estimation Parameter with Kendall Distribution Function. CSJ. 2017;38(4):619-625. doi:10.17776/csj.348292
Chicago
Metın Karakas, Ayşe, Murat Karakas, and Mine Dogan. 2017. “Archimedean Copula Estimation Parameter With Kendall Distribution Function”. Cumhuriyet Science Journal 38 (4): 619-25. https://doi.org/10.17776/csj.348292.
EndNote
Metın Karakas A, Karakas M, Dogan M (December 1, 2017) Archimedean Copula Estimation Parameter with Kendall Distribution Function. Cumhuriyet Science Journal 38 4 619–625.
IEEE
[1]A. Metın Karakas, M. Karakas, and M. Dogan, “Archimedean Copula Estimation Parameter with Kendall Distribution Function”, CSJ, vol. 38, no. 4, pp. 619–625, Dec. 2017, doi: 10.17776/csj.348292.
ISNAD
Metın Karakas, Ayşe - Karakas, Murat - Dogan, Mine. “Archimedean Copula Estimation Parameter With Kendall Distribution Function”. Cumhuriyet Science Journal 38/4 (December 1, 2017): 619-625. https://doi.org/10.17776/csj.348292.
JAMA
1.Metın Karakas A, Karakas M, Dogan M. Archimedean Copula Estimation Parameter with Kendall Distribution Function. CSJ. 2017;38:619–625.
MLA
Metın Karakas, Ayşe, et al. “Archimedean Copula Estimation Parameter With Kendall Distribution Function”. Cumhuriyet Science Journal, vol. 38, no. 4, Dec. 2017, pp. 619-25, doi:10.17776/csj.348292.
Vancouver
1.Ayşe Metın Karakas, Murat Karakas, Mine Dogan. Archimedean Copula Estimation Parameter with Kendall Distribution Function. CSJ. 2017 Dec. 1;38(4):619-25. doi:10.17776/csj.348292