{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,29]],"date-time":"2025-09-29T12:00:23Z","timestamp":1759147223272,"version":"3.37.3"},"reference-count":13,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2018,4,17]],"date-time":"2018-04-17T00:00:00Z","timestamp":1523923200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Optim Theory Appl"],"published-print":{"date-parts":[[2018,8]]},"DOI":"10.1007\/s10957-018-1285-6","type":"journal-article","created":{"date-parts":[[2018,4,17]],"date-time":"2018-04-17T12:21:50Z","timestamp":1523967710000},"page":"424-438","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Characterizations of Copulas Attaining the Bounds of Multivariate Kendall\u2019s Tau"],"prefix":"10.1007","volume":"178","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9317-6878","authenticated-orcid":false,"given":"Sebastian","family":"Fuchs","sequence":"first","affiliation":[]},{"given":"Yann","family":"McCord","sequence":"additional","affiliation":[]},{"given":"Klaus D.","family":"Schmidt","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2018,4,17]]},"reference":[{"key":"1285_CR1","first-page":"109","volume":"50","author":"S Fuchs","year":"2014","unstructured":"Fuchs, S., Schmidt, K.D.: Bivariate copulas: transformations, asymmetry and measures of concordance. Kybernetika 50, 109\u2013125 (2014)","journal-title":"Kybernetika"},{"key":"1285_CR2","doi-asserted-by":"publisher","first-page":"781","DOI":"10.1007\/BF02915438","volume":"57","author":"M \u00dabeda-Flores","year":"2005","unstructured":"\u00dabeda-Flores, M.: Multivariate versions of Blomqvist\u2019s beta and Spearman\u2019s footrule. Ann. Inst. Stat. Math. 57, 781\u2013788 (2005)","journal-title":"Ann. Inst. Stat. Math."},{"key":"1285_CR3","volume-title":"Principles of Copula Theory","author":"F Durante","year":"2016","unstructured":"Durante, F., Sempi, C.: Principles of Copula Theory. Chapman & Hall, London (2016)"},{"key":"1285_CR4","volume-title":"An Introduction to Copulas, Second edn. Springer Series in Statistics","author":"RB Nelsen","year":"2006","unstructured":"Nelsen, R.B.: An Introduction to Copulas, Second edn. Springer Series in Statistics. Springer, New York (2006)"},{"key":"1285_CR5","first-page":"725","volume":"50","author":"S Fuchs","year":"2014","unstructured":"Fuchs, S.: Multivariate copulas: transformations, symmetry, order and measures of concordance. Kybernetika 50, 725\u2013743 (2014)","journal-title":"Kybernetika"},{"key":"1285_CR6","first-page":"63","volume":"4","author":"S Fuchs","year":"2016","unstructured":"Fuchs, S.: A biconvex form for copulas. Depend. Model. 4, 63\u201375 (2016)","journal-title":"Depend. Model."},{"key":"1285_CR7","doi-asserted-by":"publisher","first-page":"169","DOI":"10.1007\/978-94-017-0061-0_18","volume-title":"Distributions with Given Marginals and Statistical Modelling","author":"RB Nelsen","year":"2002","unstructured":"Nelsen, R.B.: Concordance and copulas: a survey. In: Cuadras, C.M., Fortiana, J., Rodriguez-Lallena, J.A. (eds.) Distributions with Given Marginals and Statistical Modelling, pp. 169\u2013177. Kluwer Academic Publishers, Dordrecht (2002)"},{"key":"1285_CR8","doi-asserted-by":"publisher","first-page":"157","DOI":"10.1111\/j.1467-842X.2011.00622.x","volume":"53","author":"C Genest","year":"2011","unstructured":"Genest, C., Ne\u0161lehov\u00e1, J., Ben Ghorbal, N.: Estimators based on Kendall\u2019s tau in multivariate copula models. Aust. N. Z. J. Stat. 53, 157\u2013177 (2011)","journal-title":"Aust. N. Z. J. Stat."},{"key":"1285_CR9","doi-asserted-by":"publisher","first-page":"387","DOI":"10.1134\/S199508021604003X","volume":"37","author":"B Ko","year":"2016","unstructured":"Ko, B., Ahn, J.Y.: On multivariate countermonotonic copulas and their actuarial application. Lobachevskii J. Math. 37, 387\u2013396 (2016)","journal-title":"Lobachevskii J. Math."},{"key":"1285_CR10","doi-asserted-by":"publisher","first-page":"589","DOI":"10.1016\/j.cam.2016.12.032","volume":"317","author":"W Lee","year":"2017","unstructured":"Lee, W., Cheung, K.C., Ahn, J.Y.: Multivariate countermonotonicity and the minimal copulas. J. Comput. Appl. Math. 317, 589\u2013602 (2017)","journal-title":"J. Comput. Appl. Math."},{"key":"1285_CR11","doi-asserted-by":"publisher","first-page":"68","DOI":"10.1016\/j.insmatheco.2014.03.002","volume":"56","author":"W Lee","year":"2014","unstructured":"Lee, W., Ahn, J.Y.: On the multidimensional extension of countermonotonicity and its applications. Insur. Math. Econom. 56, 68\u201379 (2014)","journal-title":"Insur. Math. Econom."},{"key":"1285_CR12","volume-title":"Probabilistic Metric Spaces","author":"B Schweizer","year":"1983","unstructured":"Schweizer, B., Sklar, A.: Probabilistic Metric Spaces. Elsevier (North-Holland), New York (1983)"},{"key":"1285_CR13","doi-asserted-by":"publisher","first-page":"1827","DOI":"10.1016\/j.spl.2010.08.008","volume":"80","author":"F Durante","year":"2010","unstructured":"Durante, F., Fern\u00e1ndez-S\u00e1nchez, J.: Multivariate shuffles and approximation of copulas. Stat. Probab. Lett. 80, 1827\u20131834 (2010)","journal-title":"Stat. Probab. Lett."}],"container-title":["Journal of Optimization Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10957-018-1285-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-018-1285-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-018-1285-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,16]],"date-time":"2019-04-16T19:58:26Z","timestamp":1555444706000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10957-018-1285-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,4,17]]},"references-count":13,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2018,8]]}},"alternative-id":["1285"],"URL":"https:\/\/doi.org\/10.1007\/s10957-018-1285-6","relation":{},"ISSN":["0022-3239","1573-2878"],"issn-type":[{"type":"print","value":"0022-3239"},{"type":"electronic","value":"1573-2878"}],"subject":[],"published":{"date-parts":[[2018,4,17]]},"assertion":[{"value":"13 November 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"11 April 2018","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"17 April 2018","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}