Yıl 2018, Cilt 47, Sayı 3, Sayfalar 649 - 658 2018-06-01
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## A measure of radial asymmetry for bivariate copulas based on Sobolev norm

#### Ahmad Alikhani-Vafa [1] , Ali Dolati [2]

##### 30 67

The modified Sobolev norm is used to construct an index for measuring the degree of radial asymmetry of a copula. We study various aspects of this index and discuss its rank-based estimator. Through simulation and a real data example, we compare the proposed index with the other radial asymmetry measures.

Bivariate symmetry, Copula, Empirical process, Radial asymmetry, Sobolev norm
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Birincil Dil en Matematik İstatistik Yazar: Ahmad Alikhani-Vafa Yazar: Ali Dolati (Sorumlu Yazar)
 Bibtex @araştırma makalesi { hujms440360, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {Hacettepe Üniversitesi}, year = {2018}, volume = {47}, pages = {649 - 658}, doi = {}, title = {A measure of radial asymmetry for bivariate copulas based on Sobolev norm}, key = {cite}, author = {Alikhani-Vafa, Ahmad and Dolati, Ali} } APA Alikhani-Vafa, A , Dolati, A . (2018). A measure of radial asymmetry for bivariate copulas based on Sobolev norm. Hacettepe Journal of Mathematics and Statistics, 47 (3), 649-658. Retrieved from http://dergipark.gov.tr/hujms/issue/38121/440360 MLA Alikhani-Vafa, A , Dolati, A . "A measure of radial asymmetry for bivariate copulas based on Sobolev norm". Hacettepe Journal of Mathematics and Statistics 47 (2018): 649-658 Chicago Alikhani-Vafa, A , Dolati, A . "A measure of radial asymmetry for bivariate copulas based on Sobolev norm". Hacettepe Journal of Mathematics and Statistics 47 (2018): 649-658 RIS TY - JOUR T1 - A measure of radial asymmetry for bivariate copulas based on Sobolev norm AU - Ahmad Alikhani-Vafa , Ali Dolati Y1 - 2018 PY - 2018 N1 - DO - T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 649 EP - 658 VL - 47 IS - 3 SN - 2651-477X-2651-477X M3 - UR - Y2 - 2016 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics A measure of radial asymmetry for bivariate copulas based on Sobolev norm %A Ahmad Alikhani-Vafa , Ali Dolati %T A measure of radial asymmetry for bivariate copulas based on Sobolev norm %D 2018 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 47 %N 3 %R %U ISNAD Alikhani-Vafa, Ahmad , Dolati, Ali . "A measure of radial asymmetry for bivariate copulas based on Sobolev norm". Hacettepe Journal of Mathematics and Statistics 47 / 3 (Haziran 2018): 649-658.