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Comparison of Some Selection Criteria for Selecting Bivariate Archimedean Copulas

Yıl 2016, Cilt: 16 Sayı: 2, 250 - 255, 30.04.2016

Öz

Commonly, while selecting an appropriate bivariate Archimedean copula function that models
data, Akaike Information Criterion (AIC), Bayesian Information Criterion (BIC), and minimum
distance (MD) are used as a selection criterion. In this study, the performances of these
criteria for selecting copula function are investigated by some simulation studies.

Kaynakça

  • Atkinson, A., 1969. A test for discriminating between models. Biometrika 56, 337‐341
  • Atkinson, A., 1970. A method for discriminating between models. Journal of the Royal statistical Society, Series B32, 323‐353.
  • Belgorodski, N., 2010. Selecting pair copula families for regular vines with application to the multivariate analysis of European stock market indices. Master Thesis, Technische Universität München.
  • Clayton, D.G., 1978. A Model for association in bivariate life tables and its application in epidemiological studies of familial tendency in chronic disease incidence. Biometrika, 65, 141–151.
  • Cox, D.R., 1962. Further Results on tests of seperate families of hypotheses. Journal of the Royal Statistical Society, Series B24, 406‐424.
  • durrleman, V., Nikeghbali, A., and Roncalli, T., 2000. Which copula is the right one? Technical Report Groupe de Researche operationnelle Credit‐ Lyonnois.
  • Frank, M.J., 1979. On the simultaneous associativity of F(x,y) and x+y‐F(x,y). Aequationes Mathematicae, 19, 194–226.
  • Frees, W.E. and Valdez, A.E., 1997. Understanding relationships using copulas. 32nd. Actuarial Research Conference, 6‐8 August at University of Calgary, Albert ,Canada.
  • Genest, C., and Rivest, L.P., 1993. Statistical inference procedures for bivariate archimedean copulas. Journal of the American Statistical Association Theory and Methods ,88, No: 423
  • Genest, C., Rémillard, B. and Beaudoin, D., 2009. goodness‐of‐fit tests for copulas: A review and apower study. Insurance: Mathematics and Economics, 44,199‐213.
  • Grønneberg, S., and Hjort N.L., 2014. The Copula Information Criteria. Scandinavian Journal of Statistics, 41,436‐459.
  • Gumbel, E.J., 1960. Bivariate exponential distributions. Journal of the American Statistical Association, 55, 698–707.
  • Huard, D.,Evin, G., and Favre, A.C., 2006. Bayesian copula selection. Computational Statistics&Data Analysis, 51(2), 809‐822.
  • Joe, H., 1997. Multivariate Models and Dependence Concepts. Chapman & Hall Ltd. Nelsen, R., 2006. An Introduction to Copulas. Springer, NewYork.
  • R‐Development Core Team (2012). R: A Language and Environment for Statistical Computing (computer software). Available from: http://www.R‐project.org.
  • Sklar, A., 1959. Fonctions de repartition a n dimensions et leurs marges., Publications del'Institut de Statistique de l’Universite de Paris,8, 229‐231.Sklar, A., 1973. Random variables, joint distribution functions and copulas. Kybernetika, 9,449–460.
  • Schweizer, B., and Sklar, A. 1983. Probabilistic Metric Spaces. North‐Holland, New York.
  • Wolfowitz, J., 1957. The minimum distance method. Ann. Math. Statist., 28, 75‐87.
Toplam 18 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Makaleler
Yazarlar

Çiğdem Topçu Gülöksüz Bu kişi benim

Yayımlanma Tarihi 30 Nisan 2016
Gönderilme Tarihi 4 Mayıs 2016
Yayımlandığı Sayı Yıl 2016 Cilt: 16 Sayı: 2

Kaynak Göster

APA Topçu Gülöksüz, Ç. (2016). Comparison of Some Selection Criteria for Selecting Bivariate Archimedean Copulas. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, 16(2), 250-255.
AMA Topçu Gülöksüz Ç. Comparison of Some Selection Criteria for Selecting Bivariate Archimedean Copulas. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. Nisan 2016;16(2):250-255.
Chicago Topçu Gülöksüz, Çiğdem. “Comparison of Some Selection Criteria for Selecting Bivariate Archimedean Copulas”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 16, sy. 2 (Nisan 2016): 250-55.
EndNote Topçu Gülöksüz Ç (01 Nisan 2016) Comparison of Some Selection Criteria for Selecting Bivariate Archimedean Copulas. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 16 2 250–255.
IEEE Ç. Topçu Gülöksüz, “Comparison of Some Selection Criteria for Selecting Bivariate Archimedean Copulas”, Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, c. 16, sy. 2, ss. 250–255, 2016.
ISNAD Topçu Gülöksüz, Çiğdem. “Comparison of Some Selection Criteria for Selecting Bivariate Archimedean Copulas”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 16/2 (Nisan 2016), 250-255.
JAMA Topçu Gülöksüz Ç. Comparison of Some Selection Criteria for Selecting Bivariate Archimedean Copulas. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. 2016;16:250–255.
MLA Topçu Gülöksüz, Çiğdem. “Comparison of Some Selection Criteria for Selecting Bivariate Archimedean Copulas”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, c. 16, sy. 2, 2016, ss. 250-5.
Vancouver Topçu Gülöksüz Ç. Comparison of Some Selection Criteria for Selecting Bivariate Archimedean Copulas. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. 2016;16(2):250-5.