{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,26]],"date-time":"2025-03-26T05:08:11Z","timestamp":1742965691463,"version":"3.40.3"},"publisher-location":"Cham","reference-count":69,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319288079"},{"type":"electronic","value":"9783319288086"}],"license":[{"start":{"date-parts":[[2016,1,1]],"date-time":"2016-01-01T00:00:00Z","timestamp":1451606400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2016]]},"DOI":"10.1007\/978-3-319-28808-6_9","type":"book-chapter","created":{"date-parts":[[2016,1,10]],"date-time":"2016-01-10T21:17:02Z","timestamp":1452460622000},"page":"157-172","source":"Crossref","is-referenced-by-count":2,"title":["Asymmetric Copulas and Their Application in Design of Experiments"],"prefix":"10.1007","author":[{"given":"Fabrizio","family":"Durante","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Elisa","family":"Perrone","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2016,1,12]]},"reference":[{"issue":"4","key":"9_CR1","first-page":"519","volume":"47","author":"T Bacigal","year":"2011","unstructured":"Bacigal, T., J\u00e1gr, V., Mesiar, R.: Non-exchangeable random variables, Archimax copulas and their fitting to real data. Kybernetika (Prague) 47(4), 519\u2013531 (2011)","journal-title":"Kybernetika (Prague)"},{"issue":"5","key":"9_CR2","doi-asserted-by":"publisher","first-page":"923","DOI":"10.1017\/S0266466614000115","volume":"30","author":"BK Beare","year":"2014","unstructured":"Beare, B.K., Seo, J.: Time irreversible copula-based Markov models. Econom. Theory 30(5), 923\u2013960 (2014)","journal-title":"Econom. Theory"},{"key":"9_CR3","doi-asserted-by":"publisher","first-page":"78","DOI":"10.1016\/j.fss.2014.04.025","volume":"262","author":"L B\u011bhounek","year":"2015","unstructured":"B\u011bhounek, L., Bodenhofer, U., Cintula, P., Saminger-Platz, S., Sarkoci, P.: Graded dominance and related graded properties of fuzzy connectives. Fuzzy Sets Syst. 262, 78\u2013101 (2015)","journal-title":"Fuzzy Sets Syst."},{"issue":"1","key":"9_CR4","doi-asserted-by":"publisher","first-page":"451","DOI":"10.1016\/j.jmaa.2014.02.025","volume":"417","author":"G Beliakov","year":"2014","unstructured":"Beliakov, G., De Baets, B., De Meyer, H., Nelsen, R.B., \u00dabeda-Flores, M.: Best-possible bounds on the set of copulas with given degree of non-exchangeability. J. Math. Anal. Appl. 417(1), 451\u2013468 (2014)","journal-title":"J. Math. Anal. Appl."},{"issue":"1","key":"9_CR5","doi-asserted-by":"publisher","first-page":"30","DOI":"10.1006\/jmva.1999.1845","volume":"72","author":"P Cap\u00e9ra\u00e0","year":"2000","unstructured":"Cap\u00e9ra\u00e0, P., Foug\u00e8res, A.L., Genest, C.: Bivariate distributions with given extreme value attractor. J. Multivar. Anal. 72(1), 30\u201349 (2000)","journal-title":"J. Multivar. Anal."},{"key":"9_CR6","doi-asserted-by":"publisher","first-page":"118","DOI":"10.1016\/j.jmva.2013.12.013","volume":"126","author":"A Charpentier","year":"2014","unstructured":"Charpentier, A., Foug\u00e8res, A.L., Genest, C., Ne\u0161lehov\u00e1, J.G.: Multivariate Archimax copulas. J. Multivar. Anal. 126, 118\u2013136 (2014)","journal-title":"J. Multivar. Anal."},{"key":"9_CR7","series-title":"Lecture Notes in Statistics\u2014Proceedings","doi-asserted-by":"publisher","first-page":"93","DOI":"10.1007\/978-3-642-12465-5_4","volume-title":"Copula Theory and Its Applications","author":"C Czado","year":"2010","unstructured":"Czado, C.: Pair-copula constructions of multivariate copulas. In: Jaworski, P., Durante, F., H\u00e4rdle, W., Rychlik, T. (eds.) Copula Theory and Its Applications. Lecture Notes in Statistics\u2014Proceedings, vol. 198, pp. 93\u2013109. Springer, Berlin (2010)"},{"issue":"2","key":"9_CR8","first-page":"221","volume":"43","author":"B Baets De","year":"2007","unstructured":"De Baets, B., De Meyer, H., Mesiar, R.: Asymmetric semilinear copulas. Kybernetika (Prague) 43(2), 221\u2013233 (2007)","journal-title":"Kybernetika (Prague)"},{"issue":"4","key":"9_CR9","doi-asserted-by":"publisher","first-page":"1509","DOI":"10.1016\/j.csda.2010.07.025","volume":"55","author":"NG Denman","year":"2011","unstructured":"Denman, N.G., McGree, J.M., Eccleston, J.A., Duffull, S.B.: Design of experiments for bivariate binary responses modelled by Copula functions. Comput. Stat. Data Anal. 55(4), 1509\u20131520 (2011)","journal-title":"Comput. Stat. Data Anal."},{"issue":"6","key":"9_CR10","doi-asserted-by":"publisher","first-page":"1800","DOI":"10.1016\/j.jspi.2005.08.005","volume":"136","author":"V Dragalin","year":"2006","unstructured":"Dragalin, V., Fedorov, V.: Adaptive designs for dose-finding based on efficacytoxicity response. J. Stat. Plan. Infer. 136(6), 1800\u20131823 (2006)","journal-title":"J. Stat. Plan. Infer."},{"issue":"2","key":"9_CR11","doi-asserted-by":"publisher","first-page":"383","DOI":"10.1007\/s00362-007-0064-5","volume":"50","author":"F Durante","year":"2009","unstructured":"Durante, F.: Construction of non-exchangeable bivariate distribution functions. Stat. Pap. 50(2), 383\u2013391 (2009)","journal-title":"Stat. Pap."},{"issue":"1","key":"9_CR12","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1142\/S0218488511006848","volume":"19","author":"F Durante","year":"2011","unstructured":"Durante, F., Fern\u00e1ndez-S\u00e1nchez, J.: On the classes of copulas and quasi-copulas with a given diagonal section. Int. J. Uncertain. Fuzziness Knowl.-Based Syst. 19(1), 1\u201310 (2011)","journal-title":"Int. J. Uncertain. Fuzziness Knowl.-Based Syst."},{"key":"9_CR13","doi-asserted-by":"publisher","first-page":"897","DOI":"10.1016\/j.insmatheco.2013.10.010","volume":"53","author":"F Durante","year":"2013","unstructured":"Durante, F., Fern\u00e1ndez-S\u00e1nchez, J., Sempi, C.: Multivariate patchwork copulas: a unified approach with applications to partial comonotonicity. Insur. Math. Econ. 53, 897\u2013905 (2013)","journal-title":"Insur. Math. Econ."},{"key":"9_CR14","doi-asserted-by":"crossref","first-page":"146","DOI":"10.1016\/j.fss.2015.04.010","volume":"284","author":"Fabrizio Durante","year":"2016","unstructured":"Durante, F., Fern\u00e1ndez-S\u00e1nchez, J., Trutschnig, W.: Baire category results for exchangeable copulas. Fuzzy Sets Syst. 284, 146\u2013151 (2016)","journal-title":"Fuzzy Sets and Systems"},{"issue":"8","key":"9_CR15","doi-asserted-by":"publisher","first-page":"4023","DOI":"10.1016\/j.eswa.2013.12.020","volume":"41","author":"F Durante","year":"2014","unstructured":"Durante, F., Foscolo, E., Jaworski, P., Wang, H.: A spatial contagion measure for financial time series. Expert Syst. Appl. 41(8), 4023\u20134034 (2014)","journal-title":"Expert Syst. Appl."},{"issue":"5","key":"9_CR16","doi-asserted-by":"publisher","first-page":"551","DOI":"10.1002\/asmb.799","volume":"26","author":"F Durante","year":"2010","unstructured":"Durante, F., Jaworski, P.: Spatial contagion between financial markets: a copula-based approach. Appl. Stoch. Models Bus. Ind. 26(5), 551\u2013564 (2010)","journal-title":"Appl. Stoch. Models Bus. Ind."},{"issue":"2","key":"9_CR17","doi-asserted-by":"publisher","first-page":"263","DOI":"10.1080\/02331888.2010.512977","volume":"46","author":"F Durante","year":"2012","unstructured":"Durante, F., Jaworski, P.: Invariant dependence structure under univariate truncation. Statistics 46(2), 263\u2013277 (2012)","journal-title":"Statistics"},{"issue":"12","key":"9_CR18","doi-asserted-by":"crossref","first-page":"1995","DOI":"10.1016\/j.spl.2011.08.018","volume":"81","author":"Fabrizio Durante","year":"2011","unstructured":"Durante, F., Jaworski, P., Mesiar, R.: Invariant dependence structures and Archimedean copulas. Stat. Probab. Lett. 81(12), 1995\u20132003 (2011)","journal-title":"Statistics & Probability Letters"},{"issue":"3","key":"9_CR19","doi-asserted-by":"publisher","first-page":"343","DOI":"10.1007\/s00009-007-0122-1","volume":"4","author":"F Durante","year":"2007","unstructured":"Durante, F., Klement, E., Mesiar, R., Sempi, C.: Conjunctors and their residual implicators: characterizations and construction methods. Mediterr. J. Math. 4(3), 343\u2013356 (2007)","journal-title":"Mediterr. J. Math."},{"issue":"2","key":"9_CR20","first-page":"235","volume":"43","author":"F Durante","year":"2007","unstructured":"Durante, F., Klement, E., Quesada-Molina, J., Sarkoci, P.: Remarks on two product-like constructions for copulas. Kybernetika (Prague) 43(2), 235\u2013244 (2007)","journal-title":"Kybernetika (Prague)"},{"issue":"3","key":"9_CR21","doi-asserted-by":"publisher","first-page":"687","DOI":"10.1007\/s00362-008-0153-0","volume":"51","author":"F Durante","year":"2010","unstructured":"Durante, F., Klement, E., Sempi, C., \u00dabeda-Flores, M.: Measures of non-exchangeability for bivariate random vectors. Stat. Pap. 51(3), 687\u2013699 (2010)","journal-title":"Stat. Pap."},{"issue":"4","key":"9_CR22","doi-asserted-by":"publisher","first-page":"397","DOI":"10.1142\/S0218488507004753","volume":"15","author":"F Durante","year":"2007","unstructured":"Durante, F., Koles\u00e1rov\u00e1, A., Mesiar, R., Sempi, C.: Copulas with given diagonal sections: novel constructions and applications. Int. J. Uncertain. Fuzziness Knowl.-Based Syst. 15(4), 397\u2013410 (2007)","journal-title":"Int. J. Uncertain. Fuzziness Knowl.-Based Syst."},{"issue":"6","key":"9_CR23","first-page":"1003","volume":"45","author":"F Durante","year":"2009","unstructured":"Durante, F., Papini, P.L.: Componentwise concave copulas and their asymmetry. Kybernetika (Prague) 45(6), 1003\u20131011 (2009)","journal-title":"Kybernetika (Prague)"},{"issue":"2","key":"9_CR24","doi-asserted-by":"publisher","first-page":"139","DOI":"10.1007\/s00184-008-0207-2","volume":"71","author":"F Durante","year":"2010","unstructured":"Durante, F., Papini, P.L.: Non-exchangeability of negatively dependent random variables. Metrika 71(2), 139\u2013149 (2010)","journal-title":"Metrika"},{"issue":"19","key":"9_CR25","doi-asserted-by":"publisher","first-page":"3383","DOI":"10.1016\/j.ins.2009.06.007","volume":"179","author":"F Durante","year":"2009","unstructured":"Durante, F., Rodr\u00edguez-Lallena, J.A., \u00dabeda-Flores, M.: New constructions of diagonal patchwork copulas. Inf. Sci. 179(19), 3383\u20133391 (2009)","journal-title":"Inf. Sci."},{"issue":"15","key":"9_CR26","doi-asserted-by":"publisher","first-page":"2515","DOI":"10.1080\/03610920802571203","volume":"38","author":"F Durante","year":"2009","unstructured":"Durante, F., Saminger-Platz, S., Sarkoci, P.: Rectangular patchwork for bivariate copulas and tail dependence. Comm. Stat. Theory Methods 38(15), 2515\u20132527 (2009)","journal-title":"Comm. Stat. Theory Methods"},{"issue":"2","key":"9_CR27","doi-asserted-by":"publisher","first-page":"914","DOI":"10.1016\/j.jmaa.2008.11.064","volume":"352","author":"F Durante","year":"2009","unstructured":"Durante, F., Sarkoci, P., Sempi, C.: Shuffles of copulas. J. Math. Anal. Appl. 352(2), 914\u2013921 (2009)","journal-title":"J. Math. Anal. Appl."},{"key":"9_CR28","doi-asserted-by":"publisher","DOI":"10.1201\/b18674","volume-title":"Principles of Copula Theory","author":"F Durante","year":"2015","unstructured":"Durante, F., Sempi, C.: Principles of Copula Theory. CRC\/Chapman and Hall, Boca Raton (2015)"},{"issue":"2","key":"9_CR29","doi-asserted-by":"publisher","first-page":"323","DOI":"10.1137\/1116029","volume":"16","author":"VV Fedorov","year":"1971","unstructured":"Fedorov, V.V.: The design of experiments in the multiresponse case. Theory Probab. Appl. 16(2), 323\u2013332 (1971)","journal-title":"Theory Probab. Appl."},{"issue":"2","key":"9_CR30","doi-asserted-by":"publisher","first-page":"69","DOI":"10.1016\/0888-613X(94)00012-R","volume":"12","author":"JC Fodor","year":"1995","unstructured":"Fodor, J.C., Keresztfalvi, T.: Nonstandard conjunctions and implications in fuzzy logic. Int. J. Approx. Reason. 12(2), 69\u201384 (1995)","journal-title":"Int. J. Approx. Reason."},{"key":"9_CR31","unstructured":"Genest, C., Ghoudi, K., Rivest, L.P.: Understanding relationships using copulas, by E. Frees and E. Valdez, January 1998. N. Am. Actuar. J. 2(3), 143\u2013149 (1998)"},{"issue":"1","key":"9_CR32","doi-asserted-by":"publisher","first-page":"253","DOI":"10.3150\/10-BEJ279","volume":"17","author":"C Genest","year":"2011","unstructured":"Genest, C., Kojadinovic, I., Ne\u0161lehov\u00e1, J., Yan, J.: A goodness-of-fit test for bivariate extreme-value copulas. Bernoulli 17(1), 253\u2013275 (2011)","journal-title":"Bernoulli"},{"issue":"2","key":"9_CR33","doi-asserted-by":"publisher","first-page":"145","DOI":"10.2307\/3314660","volume":"14","author":"C Genest","year":"1986","unstructured":"Genest, C., MacKay, R.J.: Copules archim\u00e9diennes et familles de lois bidimensionnelles dont les marges sont donn\u00e9es. Can. J. Stat. 14(2), 145\u2013159 (1986)","journal-title":"Can. J. Stat."},{"issue":"4","key":"9_CR34","doi-asserted-by":"publisher","first-page":"811","DOI":"10.1007\/s10463-011-0337-6","volume":"64","author":"C Genest","year":"2012","unstructured":"Genest, C., Ne\u0161lehov\u00e1, J., Quessy, J.F.: Tests of symmetry for bivariate copulas. Ann. Inst. Stat. Math. 64(4), 811\u2013834 (2012)","journal-title":"Ann. Inst. Stat. Math."},{"issue":"2","key":"9_CR35","doi-asserted-by":"publisher","first-page":"223","DOI":"10.1007\/s11749-011-0250-6","volume":"20","author":"C Genest","year":"2011","unstructured":"Genest, C., Ne\u0161lehov\u00e1, J., Ziegel, J.: Inference in multivariate Archimedean copula models. TEST 20(2), 223\u2013256 (2011)","journal-title":"TEST"},{"key":"9_CR36","series-title":"Lecture Notes in Statistics","doi-asserted-by":"publisher","first-page":"91","DOI":"10.1007\/978-3-642-35407-6_5","volume-title":"Copulae in Mathematical and Quantitative Finance","author":"C Genest","year":"2013","unstructured":"Genest, C., Ne\u0161lehov\u00e1, J.: Assessing and modeling asymmetry in bivariate continuous data. In: Jaworski, P., Durante, F., H\u00e4rdle, W. (eds.) Copulae in Mathematical and Quantitative Finance. Lecture Notes in Statistics, pp. 91\u2013114. Springer, Berlin (2013)"},{"issue":"12","key":"9_CR37","doi-asserted-by":"publisher","first-page":"123","DOI":"10.1007\/s00500-008-0286-z","volume":"12","author":"P H\u00e1jek","year":"2008","unstructured":"H\u00e1jek, P., Mesiar, R.: On copulas, quasicopulas and fuzzy logic. Soft Comput. 12(12), 123\u20131243 (2008)","journal-title":"Soft Comput."},{"key":"9_CR38","doi-asserted-by":"publisher","first-page":"31","DOI":"10.1016\/j.jmva.2013.10.003","volume":"124","author":"M Harder","year":"2014","unstructured":"Harder, M., Stadtm\u00fcller, U.: Maximal non-exchangeability in dimension \n                  \n                    \n                  \n                  $$d$$\n                  \n                    \n                      d\n                    \n                  \n                . J. Multivar. Anal. 124, 31\u201341 (2014)","journal-title":"J. Multivar. Anal."},{"issue":"2","key":"9_CR39","doi-asserted-by":"publisher","first-page":"613","DOI":"10.2307\/2532900","volume":"52","author":"MA Heise","year":"1996","unstructured":"Heise, M.A., Myers, R.H.: Optimal designs for bivariate logistic regression. Biometrics 52(2), 613\u2013624 (1996)","journal-title":"Biometrics"},{"key":"9_CR40","doi-asserted-by":"publisher","first-page":"303","DOI":"10.1002\/asmb.1977","volume":"30","author":"P Jaworski","year":"2014","unstructured":"Jaworski, P., Pitera, M.: On spatial contagion and multivariate GARCH models. Appl. Stoch. Models Bus. Ind. 30, 303\u2013327 (2014)","journal-title":"Appl. Stoch. Models Bus. Ind."},{"key":"9_CR41","doi-asserted-by":"crossref","DOI":"10.1201\/b17116","volume-title":"Dependence Modeling with Copulas","author":"H Joe","year":"2014","unstructured":"Joe, H.: Dependence Modeling with Copulas. Chapman and Hall\/CRC, London (2014)"},{"issue":"1\u20132","key":"9_CR42","doi-asserted-by":"publisher","first-page":"113","DOI":"10.1016\/S0020-0255(97)10080-9","volume":"110","author":"MF Kawaguchi","year":"1998","unstructured":"Kawaguchi, M.F., Miyakoshi, M.: Composite fuzzy relational equations with noncommutative conjunctions. Inf. Sci. 110(1\u20132), 113\u2013125 (1998)","journal-title":"Inf. Sci."},{"key":"9_CR43","unstructured":"Khoudraji, A.: Contributions \u00e0 l\u2019\u00e9tude des copules et \u00e0 la mod\u00e9lisation des valeurs extr\u00eames bivari\u00e9es. Ph.D. thesis, Universit\u00e9 de Laval, Qu\u00e9bec (Canada) (1995)"},{"key":"9_CR44","doi-asserted-by":"publisher","first-page":"363","DOI":"10.4153\/CJM-1960-030-4","volume":"12","author":"J Kiefer","year":"1960","unstructured":"Kiefer, J., Wolfowitz, J.: The equivalence of two extremum problems. Can. J. Math. 12, 363\u2013366 (1960)","journal-title":"Can. J. Math."},{"issue":"1","key":"9_CR45","first-page":"141","volume":"47","author":"EP Klement","year":"2006","unstructured":"Klement, E.P., Mesiar, R.: How non-symmetric can a copula be? Comment. Math. Univ. Carolin. 47(1), 141\u2013148 (2006)","journal-title":"Comment. Math. Univ. Carolin."},{"key":"9_CR46","volume-title":"Trends in Logic-Studia Logica Library","author":"EP Klement","year":"2000","unstructured":"Klement, E.P., Mesiar, R., Pap, E.: Triangular norms. Trends in Logic-Studia Logica Library, vol. 8. Kluwer Academic Publishers, Dordrecht (2000)"},{"issue":"10","key":"9_CR47","doi-asserted-by":"publisher","first-page":"755","DOI":"10.1016\/j.crma.2005.04.012","volume":"340","author":"EP Klement","year":"2005","unstructured":"Klement, E.P., Mesiar, R., Pap, E.: Archimax copulas and invariance under transformations. C. R. Math. Acad. Sci. Paris 340(10), 755\u2013758 (2005)","journal-title":"C. R. Math. Acad. Sci. Paris"},{"issue":"3","key":"9_CR48","doi-asserted-by":"publisher","first-page":"480","DOI":"10.1111\/j.1467-9469.2011.00772.x","volume":"39","author":"I Kojadinovic","year":"2012","unstructured":"Kojadinovic, I., Yan, J.: A non-parametric test of exchangeability for extreme-value and left-tail decreasing bivariate copulas. Scand. J. Stat. 39(3), 480\u2013496 (2012)","journal-title":"Scand. J. Stat."},{"key":"9_CR49","doi-asserted-by":"publisher","first-page":"85","DOI":"10.1016\/j.jmva.2013.05.001","volume":"120","author":"P Krupskii","year":"2013","unstructured":"Krupskii, P., Joe, H.: Factor copula models for multivariate data. J. Multivar. Anal. 120, 85\u2013101 (2013)","journal-title":"J. Multivar. Anal."},{"issue":"10","key":"9_CR50","doi-asserted-by":"publisher","first-page":"2234","DOI":"10.1016\/j.jmva.2008.02.025","volume":"99","author":"E Liebscher","year":"2008","unstructured":"Liebscher, E.: Construction of asymmetric multivariate copulas. J. Multivar. Anal. 99(10), 2234\u20132250 (2008)","journal-title":"J. Multivar. Anal."},{"issue":"4","key":"9_CR51","doi-asserted-by":"publisher","first-page":"869","DOI":"10.1016\/j.jmva.2010.12.004","volume":"102","author":"E Liebscher","year":"2011","unstructured":"Liebscher, E.: Erratum to Construction of asymmetric multivariate copulas. J. Multivar. Anal. 102(4), 869\u2013870 (2011)","journal-title":"J. Multivar. Anal."},{"key":"9_CR52","doi-asserted-by":"crossref","unstructured":"Mazo, G., Girard, S., Forbes, F.: A flexible and tractable class of one-factor copulas. Stat. Comput., in press (2015)","DOI":"10.1007\/s11222-015-9580-7"},{"issue":"5B","key":"9_CR53","doi-asserted-by":"publisher","first-page":"3059","DOI":"10.1214\/07-AOS556","volume":"37","author":"AJ McNeil","year":"2009","unstructured":"McNeil, A.J., Ne\u0161lehov\u00e1, J.: Multivariate Archimedean copulas, d-monotone functions and \n                  \n                    \n                  \n                  $$\\ell _1$$\n                  \n                    \n                      \n                        \u2113\n                        1\n                      \n                    \n                  \n                -norm symmetric distributions. Ann. Stat. 37(5B), 3059\u20133097 (2009)","journal-title":"Ann. Stat."},{"issue":"8","key":"9_CR54","doi-asserted-by":"publisher","first-page":"1772","DOI":"10.1016\/j.jmva.2010.03.015","volume":"101","author":"AJ McNeil","year":"2010","unstructured":"McNeil, A.J., Ne\u0161lehov\u00e1, J.: From Archimedean to Liouville copulas. J. Multivar. Anal. 101(8), 1772\u20131790 (2010)","journal-title":"J. Multivar. Anal."},{"key":"9_CR55","series-title":"Springer Series in Statistics","volume-title":"An Introduction to Copulas","author":"RB Nelsen","year":"2006","unstructured":"Nelsen, R.B.: An Introduction to Copulas. Springer Series in Statistics, 2nd edn. Springer, New York (2006)","edition":"2"},{"issue":"2","key":"9_CR56","doi-asserted-by":"publisher","first-page":"329","DOI":"10.1007\/s00362-006-0336-5","volume":"48","author":"RB Nelsen","year":"2007","unstructured":"Nelsen, R.B.: Extremes of nonexchangeability. Stat. Pap. 48(2), 329\u2013336 (2007)","journal-title":"Stat. Pap."},{"issue":"2","key":"9_CR57","doi-asserted-by":"publisher","first-page":"473","DOI":"10.1016\/j.insmatheco.2006.11.011","volume":"42","author":"RB Nelsen","year":"2008","unstructured":"Nelsen, R.B., Quesada-Molina, J.J., Rodr\u00edguez-Lallena, J.A., \u00dabeda-Flores, M.: On the construction of copulas and quasi-copulas with given diagonal sections. Insur. Math. Econom. 42(2), 473\u2013483 (2008)","journal-title":"Insur. Math. Econom."},{"issue":"4","key":"9_CR58","doi-asserted-by":"publisher","first-page":"917","DOI":"10.1080\/02331888.2015.1111892","volume":"50","author":"E. Perrone","year":"2016","unstructured":"Perrone, E., M\u00fcller, W.G.: Optimal design for copula models. Statistics, in press (2015). doi:\n                  10.1080\/02331888.2015.1111892","journal-title":"Statistics"},{"key":"9_CR59","series-title":"Lecture Notes in Statistics","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4614-6363-4","volume-title":"Design of Experiments in Nonlinear Models","author":"Luc Pronzato","year":"2013","unstructured":"Pronzato, L., P\u00e1zman, A.: Design of Eperiments in Nonlinear Models. Springer Lecture Notes in Statistics, vol. 212 (2013)"},{"issue":"4","key":"9_CR60","doi-asserted-by":"publisher","first-page":"637","DOI":"10.1002\/cjs.11193","volume":"41","author":"JF Quessy","year":"2013","unstructured":"Quessy, J.F., Bahraoui, T.: Graphical and formal statistical tools for assessing the symmetry of bivariate copulas. Can. J. Stat. 41(4), 637\u2013656 (2013)","journal-title":"Can. J. Stat."},{"key":"9_CR61","doi-asserted-by":"publisher","first-page":"441","DOI":"10.1007\/BF02024507","volume":"10","author":"A R\u00e9nyi","year":"1959","unstructured":"R\u00e9nyi, A.: On measures of dependence. Acta Math. Acad. Sci. Hungar. 10, 441\u2013451 (1959)","journal-title":"Acta Math. Acad. Sci. Hungar."},{"key":"9_CR62","series-title":"Probabilistic metric spaces","volume-title":"North-Holland Series in Probability and Applied Mathematics","author":"B Schweizer","year":"1983","unstructured":"Schweizer, B., Sklar, A.: North-Holland Series in Probability and Applied Mathematics. Probabilistic metric spaces. North-Holland Publishing Co., New York (1983)"},{"issue":"4","key":"9_CR63","doi-asserted-by":"publisher","first-page":"879","DOI":"10.1214\/aos\/1176345528","volume":"9","author":"B Schweizer","year":"1981","unstructured":"Schweizer, B., Wolff, E.F.: On nonparametric measures of dependence for random variables. Ann. Stat. 9(4), 879\u2013885 (1981)","journal-title":"Ann. Stat."},{"issue":"1","key":"9_CR64","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s00362-008-0195-3","volume":"52","author":"KF Siburg","year":"2011","unstructured":"Siburg, K.F., Stoimenov, P.A.: Symmetry of functions and exchangeability of random variables. Stat. Pap. 52(1), 1\u201315 (2011)","journal-title":"Stat. Pap."},{"key":"9_CR65","doi-asserted-by":"crossref","unstructured":"Silvey, S.D.: Optimal Design (Science Paperbacks). Chapman and Hall (1980)","DOI":"10.1007\/978-94-009-5912-5"},{"key":"9_CR66","first-page":"229","volume":"8","author":"A Sklar","year":"1959","unstructured":"Sklar, A.: Fonctions de r\u00e9partition \u00e0 n dimensions et leurs marges. Publications de l\u2019Institut de Statistique de Paris 8, 229\u2013231 (1959)","journal-title":"Publications de l\u2019Institut de Statistique de Paris"},{"issue":"2","key":"9_CR67","doi-asserted-by":"publisher","first-page":"251","DOI":"10.1016\/j.jspi.2012.07.017","volume":"143","author":"W Trutschnig","year":"2013","unstructured":"Trutschnig, W., Fern\u00e1ndez S\u00e1nchez, J.: Some results on shuffles of two-dimensional copulas. J. Stat. Plan. Infer. 143(2), 251\u2013260 (2013)","journal-title":"J. Stat. Plan. Infer."},{"key":"9_CR68","doi-asserted-by":"publisher","first-page":"476","DOI":"10.1016\/j.ejor.2014.03.016","volume":"238","author":"S Wu","year":"2014","unstructured":"Wu, S.: Construction of asymmetric copulas and its application in two-dimensional reliability modelling. Eur. J. Oper. Res. 238, 476\u2013485 (2014)","journal-title":"Eur. J. Oper. Res."},{"issue":"5","key":"9_CR69","doi-asserted-by":"publisher","first-page":"1655","DOI":"10.1214\/aoms\/1177696809","volume":"41","author":"HP Wynn","year":"1970","unstructured":"Wynn, H.P.: The sequential generation of D-optimum experimental designs. Ann. Math. Stat. 41(5), 1655\u20131664 (1970)","journal-title":"Ann. Math. Stat."}],"container-title":["Studies in Fuzziness and Soft Computing","On Logical, Algebraic, and Probabilistic Aspects of Fuzzy Set Theory"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-28808-6_9","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,1]],"date-time":"2019-06-01T05:15:21Z","timestamp":1559366121000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-28808-6_9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016]]},"ISBN":["9783319288079","9783319288086"],"references-count":69,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-28808-6_9","relation":{},"ISSN":["1434-9922","1860-0808"],"issn-type":[{"type":"print","value":"1434-9922"},{"type":"electronic","value":"1860-0808"}],"subject":[],"published":{"date-parts":[[2016]]}}}