Edit Profile Trutschnig, Wolfgang Compute Distance To: Compute Author ID: trutschnig.wolfgang Published as: Trutschnig, W.; Trutschnig, Wolfgang Documents Indexed: 41 Publications since 2004, including 1 Book all top 5 Co-Authors 8 single-authored 21 Fernández-Sánchez, Juan 7 Durante, Fabrizio 5 González-Rodríguez, Gil 4 Colubi, Ana 3 Gil, María Angeles 3 Kamnitui, Noppadon 3 Lubiano, María Asunción 3 Schreyer, Manuela 3 Seoane-Sepúlveda, Juan Benigno 2 Rodriguez-Vidanes, Daniel L. 1 Bernal-Gonzàlez, Luis 1 Blanco-Fernández, Angela 1 Borgelt, Christian 1 Casals, María Rosa 1 Coblenz, Maximilian 1 Coppi, Renato 1 Corral, Norberto 1 De Amo, Enrique 1 de la Rosa de Sáa, Sara 1 Diaz Carrillo, Manuel 1 D’Urso, Pierpaolo 1 Ferraro, Maria Brigida 1 García-Bárzana, Marta 1 Genest, Christian 1 Gil, Angeles M. 1 Giordani, Paolo E. 1 Grothe, Oliver 1 Grzegorzewski, Przemysław 1 Hareter, Dietmar 1 Hryniewicz, Olgierd 1 Jaworski, Piotr 1 Lastra, Julia 1 López, María Teresa 1 Montenegro, Manuel 1 Mroz, Thomas A. 1 Nakama, Takéhiko 1 Paulin, Roland 1 Ramos-Guajardo, Ana Belén 1 Sinova, Beatriz all top 5 Serials 6 Journal of Mathematical Analysis and Applications 5 Fuzzy Sets and Systems 4 Dependence Modeling 2 Information Sciences 2 Journal of Multivariate Analysis 2 Journal of Statistical Planning and Inference 1 American Mathematical Monthly 1 Annals of the Institute of Statistical Mathematics 1 Journal of Applied Probability 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Statistics & Probability Letters 1 International Journal of Approximate Reasoning 1 Journal of Theoretical Probability 1 Communications in Statistics. Theory and Methods 1 Journal of the Royal Statistical Society. Series B. Statistical Methodology 1 Extremes 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Banach Journal of Mathematical Analysis 1 Advances in Intelligent and Soft Computing 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM all top 5 Fields 29 Statistics (62-XX) 20 Probability theory and stochastic processes (60-XX) 9 Measure and integration (28-XX) 7 Real functions (26-XX) 5 Functional analysis (46-XX) 4 Computer science (68-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Mathematical logic and foundations (03-XX) 2 General topology (54-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Operator theory (47-XX) 1 Numerical analysis (65-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 33 Publications have been cited 265 times in 154 Documents Cited by ▼ Year ▼ A new family of metrics for compact, convex (fuzzy) sets based on a generalized concept of mid and spread. Zbl 1181.62016Trutschnig, Wolfgang; González-Rodríguez, Gil; Colubi, Ana; Gil, María Ángeles 54 2009 On a strong metric on the space of copulas and its induced dependence measure. Zbl 1252.46019Trutschnig, Wolfgang 33 2011 Conditioning-based metrics on the space of multivariate copulas and their interrelation with uniform and levelwise convergence and iterated function systems. Zbl 1329.62269Fernández Sánchez, Juan; Trutschnig, Wolfgang 13 2015 Idempotent and multivariate copulas with fractal support. Zbl 1348.60020Trutschnig, Wolfgang; Sánchez, Juan Fernández 13 2012 Some members of the class of (quasi-)copulas with given diagonal from the Markov kernel perspective. Zbl 1337.62121Sánchez, Juan Fernández; Trutschnig, Wolfgang 12 2016 Nonparametric criteria for supervised classification of fuzzy data. Zbl 1319.62125Colubi, Ana; González-Rodríguez, Gil; Gil, Ángeles M.; Trutschnig, Wolfgang 12 2011 Simulation of fuzzy random variables. Zbl 1170.68045González-Rodríguez, Gil; Colubi, Ana; Trutschnig, Wolfgang 12 2009 Some results on shuffles of two-dimensional copulas. Zbl 1268.62049Trutschnig, Wolfgang; Sánchez, Juan Fernández 10 2013 Characterization of the sendograph-convergence of fuzzy sets by means of their \(L_p\)- and levelwise convergence. Zbl 1196.46059Trutschnig, W. 10 2010 Mass distributions of two-dimensional extreme-value copulas and related results. Zbl 1359.62217Trutschnig, Wolfgang; Schreyer, Manuela; Fernández-Sánchez, Juan 9 2016 SAFD – an R package for statistical analysis of fuzzy data. Zbl 1348.62007Trutschnig, Wolfgang; Lubiano, María Asunción; Lastra, Julia 9 2013 On the singular components of a copula. Zbl 1336.60020Durante, Fabrizio; Fernández-Sánchez, Juan; Trutschnig, Wolfgang 7 2015 Copulas with continuous, strictly increasing singular conditional distribution functions. Zbl 1307.60007Trutschnig, Wolfgang; Fernández Sánchez, Juan 7 2014 Baire category results for exchangeable copulas. Zbl 1382.60028Durante, Fabrizio; Fernández-Sánchez, Juan; Trutschnig, Wolfgang 6 2016 A typical copula is singular. Zbl 1329.60012Durante, Fabrizio; Fernández-Sánchez, Juan; Trutschnig, Wolfgang 6 2015 On Cesáro convergence of iterates of the star product of copulas. Zbl 1282.62148Trutschnig, Wolfgang 6 2013 Some results on the convergence of (quasi-) copulas. Zbl 1408.62101Trutschnig, Wolfgang 6 2012 On the exact region determined by Kendall’s \(\tau\) and Spearman’s \(\rho\). Zbl 1414.62202Schreyer, Manuela; Paulin, Roland; Trutschnig, Wolfgang 5 2017 Multivariate copulas with hairpin support. Zbl 1292.62086Durante, Fabrizio; Fernández Sánchez, Juan; Trutschnig, Wolfgang 5 2014 Idempotent copulas with fractal support. Zbl 1252.37073Trutschnig, Wolfgang 4 2012 A strong consistency result for fuzzy relative frequencies interpreted as estimator for the fuzzy-valued probability. Zbl 1274.62260Trutschnig, W. 4 2008 Baire category results for quasi-copulas. Zbl 1366.60040Durante, Fabrizio; Fernández-Sánchez, Juan; Trutschnig, Wolfgang 3 2016 Singularity aspects of Archimedean copulas. Zbl 1329.62247Fernández Sánchez, Juan; Trutschnig, Wolfgang 3 2015 Solution to an open problem about a transformation on the space of copulas. Zbl 1328.62304Durante, Fabrizio; Fernández-Sánchez, Juan; Trutschnig, Wolfgang 3 2014 Highly tempering infinite matrices. II: From divergence to convergence via Toeplitz-Silverman matrices. Zbl 1451.15019Bernal-González, L.; Fernández-Sánchez, Juan; Seoane-Sepúlveda, J. B.; Trutschnig, Wolfgang 2 2020 On the size of the class of bivariate extreme-value copulas with a fixed value of Spearman’s rho or Kendall’s tau. Zbl 1418.62224Kamnitui, N.; Genest, C.; Jaworski, P.; Trutschnig, W. 2 2019 Some smoothing properties of the star product of copulas. Zbl 06580251Trutschnig, Wolfgang 2 2013 Some results on homeomorphisms between fractal supports of copulas. Zbl 1283.62109de Amo, Enrique; Díaz-Carrillo, Manuel; Fernández Sánchez, Juan; Trutschnig, Wolfgang 2 2013 A sharp inequality for Kendall’s \(\tau\) and Spearman’s \(\rho\) of extreme-value copulas. Zbl 1434.62086Trutschnig, Wolfgang; Mroz, Thomas 1 2018 Maximum asymmetry of copulas revisited. Zbl 1390.60059Kamnitui, Noppadon; Fernández-Sánchez, Juan; Trutschnig, Wolfgang 1 2018 Combining soft computing and statistical methods in data analysis. Papers based on the presentation at the 5th international conference on soft methods and probability and statistics (SMPS 2010), Oviedo and Mieres, Spain, September 28 – October 1, 2009. Zbl 1201.62003Borgelt, Christian (ed.); Gonzáles-Rodríguez, Gil (ed.); Trutschnig, Wolfgang (ed.); Lubiano, María Asunción (ed.); Gil, María Ángeles (ed.); Grzegorzewski, Pprzemysław (ed.); Hryniewicz, Olgierd (ed.) 1 2010 Fuzzy probability distributions induced by fuzzy random vectors. Zbl 1122.60035Trutschnig, Wolfgang 1 2006 Fuzzy probability distributions. Zbl 1064.60005Trutschnig, Wolfgang; Hareter, Dietmar 1 2004 Highly tempering infinite matrices. II: From divergence to convergence via Toeplitz-Silverman matrices. Zbl 1451.15019Bernal-González, L.; Fernández-Sánchez, Juan; Seoane-Sepúlveda, J. B.; Trutschnig, Wolfgang 2 2020 On the size of the class of bivariate extreme-value copulas with a fixed value of Spearman’s rho or Kendall’s tau. Zbl 1418.62224Kamnitui, N.; Genest, C.; Jaworski, P.; Trutschnig, W. 2 2019 A sharp inequality for Kendall’s \(\tau\) and Spearman’s \(\rho\) of extreme-value copulas. Zbl 1434.62086Trutschnig, Wolfgang; Mroz, Thomas 1 2018 Maximum asymmetry of copulas revisited. Zbl 1390.60059Kamnitui, Noppadon; Fernández-Sánchez, Juan; Trutschnig, Wolfgang 1 2018 On the exact region determined by Kendall’s \(\tau\) and Spearman’s \(\rho\). Zbl 1414.62202Schreyer, Manuela; Paulin, Roland; Trutschnig, Wolfgang 5 2017 Some members of the class of (quasi-)copulas with given diagonal from the Markov kernel perspective. Zbl 1337.62121Sánchez, Juan Fernández; Trutschnig, Wolfgang 12 2016 Mass distributions of two-dimensional extreme-value copulas and related results. Zbl 1359.62217Trutschnig, Wolfgang; Schreyer, Manuela; Fernández-Sánchez, Juan 9 2016 Baire category results for exchangeable copulas. Zbl 1382.60028Durante, Fabrizio; Fernández-Sánchez, Juan; Trutschnig, Wolfgang 6 2016 Baire category results for quasi-copulas. Zbl 1366.60040Durante, Fabrizio; Fernández-Sánchez, Juan; Trutschnig, Wolfgang 3 2016 Conditioning-based metrics on the space of multivariate copulas and their interrelation with uniform and levelwise convergence and iterated function systems. Zbl 1329.62269Fernández Sánchez, Juan; Trutschnig, Wolfgang 13 2015 On the singular components of a copula. Zbl 1336.60020Durante, Fabrizio; Fernández-Sánchez, Juan; Trutschnig, Wolfgang 7 2015 A typical copula is singular. Zbl 1329.60012Durante, Fabrizio; Fernández-Sánchez, Juan; Trutschnig, Wolfgang 6 2015 Singularity aspects of Archimedean copulas. Zbl 1329.62247Fernández Sánchez, Juan; Trutschnig, Wolfgang 3 2015 Copulas with continuous, strictly increasing singular conditional distribution functions. Zbl 1307.60007Trutschnig, Wolfgang; Fernández Sánchez, Juan 7 2014 Multivariate copulas with hairpin support. Zbl 1292.62086Durante, Fabrizio; Fernández Sánchez, Juan; Trutschnig, Wolfgang 5 2014 Solution to an open problem about a transformation on the space of copulas. Zbl 1328.62304Durante, Fabrizio; Fernández-Sánchez, Juan; Trutschnig, Wolfgang 3 2014 Some results on shuffles of two-dimensional copulas. Zbl 1268.62049Trutschnig, Wolfgang; Sánchez, Juan Fernández 10 2013 SAFD – an R package for statistical analysis of fuzzy data. Zbl 1348.62007Trutschnig, Wolfgang; Lubiano, María Asunción; Lastra, Julia 9 2013 On Cesáro convergence of iterates of the star product of copulas. Zbl 1282.62148Trutschnig, Wolfgang 6 2013 Some smoothing properties of the star product of copulas. Zbl 06580251Trutschnig, Wolfgang 2 2013 Some results on homeomorphisms between fractal supports of copulas. Zbl 1283.62109de Amo, Enrique; Díaz-Carrillo, Manuel; Fernández Sánchez, Juan; Trutschnig, Wolfgang 2 2013 Idempotent and multivariate copulas with fractal support. Zbl 1348.60020Trutschnig, Wolfgang; Sánchez, Juan Fernández 13 2012 Some results on the convergence of (quasi-) copulas. Zbl 1408.62101Trutschnig, Wolfgang 6 2012 Idempotent copulas with fractal support. Zbl 1252.37073Trutschnig, Wolfgang 4 2012 On a strong metric on the space of copulas and its induced dependence measure. Zbl 1252.46019Trutschnig, Wolfgang 33 2011 Nonparametric criteria for supervised classification of fuzzy data. Zbl 1319.62125Colubi, Ana; González-Rodríguez, Gil; Gil, Ángeles M.; Trutschnig, Wolfgang 12 2011 Characterization of the sendograph-convergence of fuzzy sets by means of their \(L_p\)- and levelwise convergence. Zbl 1196.46059Trutschnig, W. 10 2010 Combining soft computing and statistical methods in data analysis. Papers based on the presentation at the 5th international conference on soft methods and probability and statistics (SMPS 2010), Oviedo and Mieres, Spain, September 28 – October 1, 2009. Zbl 1201.62003Borgelt, Christian (ed.); Gonzáles-Rodríguez, Gil (ed.); Trutschnig, Wolfgang (ed.); Lubiano, María Asunción (ed.); Gil, María Ángeles (ed.); Grzegorzewski, Pprzemysław (ed.); Hryniewicz, Olgierd (ed.) 1 2010 A new family of metrics for compact, convex (fuzzy) sets based on a generalized concept of mid and spread. Zbl 1181.62016Trutschnig, Wolfgang; González-Rodríguez, Gil; Colubi, Ana; Gil, María Ángeles 54 2009 Simulation of fuzzy random variables. Zbl 1170.68045González-Rodríguez, Gil; Colubi, Ana; Trutschnig, Wolfgang 12 2009 A strong consistency result for fuzzy relative frequencies interpreted as estimator for the fuzzy-valued probability. Zbl 1274.62260Trutschnig, W. 4 2008 Fuzzy probability distributions induced by fuzzy random vectors. Zbl 1122.60035Trutschnig, Wolfgang 1 2006 Fuzzy probability distributions. Zbl 1064.60005Trutschnig, Wolfgang; Hareter, Dietmar 1 2004 all cited Publications top 5 cited Publications all top 5 Cited by 168 Authors 31 Fernández-Sánchez, Juan 28 Trutschnig, Wolfgang 22 Colubi, Ana 18 Gil, María Angeles 18 González-Rodríguez, Gil 17 Durante, Fabrizio 14 Ramos-Guajardo, Ana Belén 14 Sinova, Beatriz 12 Blanco-Fernández, Angela 12 Lubiano, María Asunción 8 de la Rosa de Sáa, Sara 8 García-Bárzana, Marta 8 Úbeda-Flores, Manuel 7 Montenegro, Manuel 6 Casals, María Rosa 6 Van Aelst, Stefan 5 Corral, Norberto 5 López, María Teresa 5 Sumetkijakan, Songkiat 4 Arias García, J. J. 4 De Amo, Enrique 4 De Baets, Bernard 4 D’Urso, Pierpaolo 4 Giordani, Paolo E. 4 Jaworski, Piotr 4 Kamnitui, Noppadon 4 Salas, Antonia 4 Tasena, Santi 3 Diaz Carrillo, Manuel 3 Dubois, Didier 3 Kontoghiorghes, Erricos John 3 Mesiar, Radko 3 Santiwipanont, Tippawan 3 Seoane-Sepúlveda, Juan Benigno 2 Anzilli, Luca 2 Coppi, Renato 2 Couso, Inés 2 Facchinetti, Gisella 2 Ferraro, Maria Brigida 2 Fuchs, Sebastian 2 Genest, Christian 2 Girard, Stéphane 2 Hryniewicz, Olgierd 2 Huang, Huan 2 Kupka, Jiří 2 Omladič, Matjaž 2 Printechapat, Tanes 2 Quesada-Molina, José Juan 2 Rashid, Tabasam 2 Rodriguez-Vidanes, Daniel L. 2 Schreyer, Manuela 2 Strauss, Olivier 2 Taheri, Seyed Mahmoud 1 Á. Blanco-Fernández, Ángela 1 Ahn, Jae Youn 1 Aletti, Giacomo 1 Alonso de la Fuente, Miriam 1 Ansari, Jonathan 1 Arbel, Julyan 1 Arefi, Mohammad Mehdi 1 Arefi, Mohsen 1 Báez-Sánchez, A. D. 1 Bagdonas, Gediminas 1 Bashir, Zia 1 Bernardi, Mara S. 1 Bielawski, Jakub 1 Bongiorno, Enea G. 1 Boonmee, Prakassawat 1 Boonmee, Therdsak 1 Borkotokey, Surajit 1 Boroński, Jan P. 1 Cánovas, Jose S. 1 Carleos, Carlos 1 Chachi, Jalal 1 Chalco-Cano, Yurilev 1 Charnomordic, Brigitte 1 Chu, Han-Min 1 Coblenz, Maximilian 1 Coroianu, Lucian C. 1 Crispino, Marta 1 De Meyer, Hans E. 1 Del Castillo, Enrique 1 Dhompongsa, Sompong 1 Emura, Takeshi 1 Fang, Jun 1 García Guirao, Juan Luis 1 Gil, Angeles M. 1 González-Barrios, José María 1 Grothe, Oliver 1 Grzegorzewski, Przemysław 1 Guerra, Maria Letizia 1 Guillaume, Serge 1 Guo, Junpeng 1 Hao, Peng 1 Hernández-Cedillo, María M. 1 Jiang, Fan 1 Jimenez Linares, Luis 1 Jin, LeSheng 1 Jung, Hye-Young 1 Kalina, Martin ...and 68 more Authors all top 5 Cited in 36 Serials 32 Fuzzy Sets and Systems 14 Information Sciences 13 International Journal of Approximate Reasoning 12 Journal of Mathematical Analysis and Applications 11 Dependence Modeling 6 Journal of Multivariate Analysis 5 Computational Statistics and Data Analysis 4 Journal of Statistical Planning and Inference 3 Statistics & Probability Letters 3 Communications in Statistics. Theory and Methods 2 Journal of Applied Probability 2 Metron 2 European Journal of Operational Research 2 Extremes 2 Iranian Journal of Fuzzy Systems 2 Advances in Data Analysis and Classification. ADAC 1 Computers & Mathematics with Applications 1 Metrika 1 Chaos, Solitons and Fractals 1 Annals of the Institute of Statistical Mathematics 1 Journal of Computational and Applied Mathematics 1 Journal of Optimization Theory and Applications 1 Kybernetika 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Insurance Mathematics & Economics 1 Statistics 1 Journal of Theoretical Probability 1 Computational Statistics 1 Soft Computing 1 Discrete Dynamics in Nature and Society 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Fuzzy Optimization and Decision Making 1 Mediterranean Journal of Mathematics 1 AStA. Advances in Statistical Analysis 1 Banach Journal of Mathematical Analysis 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM all top 5 Cited in 23 Fields 117 Statistics (62-XX) 50 Probability theory and stochastic processes (60-XX) 12 Numerical analysis (65-XX) 12 Computer science (68-XX) 10 Measure and integration (28-XX) 9 Mathematical logic and foundations (03-XX) 9 Real functions (26-XX) 9 Functional analysis (46-XX) 8 General topology (54-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Number theory (11-XX) 2 Sequences, series, summability (40-XX) 2 Operator theory (47-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Citations by Year