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Trutschnig, Wolfgang

Author ID: trutschnig.wolfgang Recent zbMATH articles by "Trutschnig, Wolfgang"
Published as: Trutschnig, Wolfgang; Trutschnig, W.

Publications by Year

Citations contained in zbMATH Open

46 Publications have been cited 439 times in 232 Documents Cited by Year
A new family of metrics for compact, convex (fuzzy) sets based on a generalized concept of mid and spread. Zbl 1181.62016
Trutschnig, Wolfgang; González-Rodríguez, Gil; Colubi, Ana; Gil, María Ángeles
62
2009
On a strong metric on the space of copulas and its induced dependence measure. Zbl 1252.46019
Trutschnig, Wolfgang
59
2011
Conditioning-based metrics on the space of multivariate copulas and their interrelation with uniform and levelwise convergence and iterated function systems. Zbl 1329.62269
Fernández Sánchez, Juan; Trutschnig, Wolfgang
23
2015
Idempotent and multivariate copulas with fractal support. Zbl 1348.60020
Trutschnig, Wolfgang; Sánchez, Juan Fernández
22
2012
On the exact region determined by Kendall’s \(\tau\) and Spearman’s \(\rho\). Zbl 1414.62202
Schreyer, Manuela; Paulin, Roland; Trutschnig, Wolfgang
20
2017
Some results on shuffles of two-dimensional copulas. Zbl 1268.62049
Trutschnig, Wolfgang; Sánchez, Juan Fernández
18
2013
Mass distributions of two-dimensional extreme-value copulas and related results. Zbl 1359.62217
Trutschnig, Wolfgang; Schreyer, Manuela; Fernández-Sánchez, Juan
16
2016
Some members of the class of (quasi-)copulas with given diagonal from the Markov kernel perspective. Zbl 1337.62121
Sánchez, Juan Fernández; Trutschnig, Wolfgang
13
2016
Simulation of fuzzy random variables. Zbl 1170.68045
González-Rodríguez, Gil; Colubi, Ana; Trutschnig, Wolfgang
13
2009
Nonparametric criteria for supervised classification of fuzzy data. Zbl 1319.62125
Colubi, Ana; González-Rodríguez, Gil; Gil, Ángeles M.; Trutschnig, Wolfgang
13
2011
Characterization of the sendograph-convergence of fuzzy sets by means of their \(L_p\)- and levelwise convergence. Zbl 1196.46059
Trutschnig, W.
12
2010
On the singular components of a copula. Zbl 1336.60020
Durante, Fabrizio; Fernández-Sánchez, Juan; Trutschnig, Wolfgang
11
2015
Some results on the convergence of (quasi-) copulas. Zbl 1408.62101
Trutschnig, Wolfgang
10
2012
Copulas with continuous, strictly increasing singular conditional distribution functions. Zbl 1307.60007
Trutschnig, Wolfgang; Fernández Sánchez, Juan
10
2014
Multivariate copulas with hairpin support. Zbl 1292.62086
Durante, Fabrizio; Fernández Sánchez, Juan; Trutschnig, Wolfgang
9
2014
On Cesáro convergence of iterates of the star product of copulas. Zbl 1282.62148
Trutschnig, Wolfgang
9
2013
On weak conditional convergence of bivariate Archimedean and extreme value copulas, and consequences to nonparametric estimation. Zbl 1473.62160
Kasper, Thimo M.; Fuchs, Sebastian; Trutschnig, Wolfgang
9
2021
Singularity aspects of Archimedean copulas. Zbl 1329.62247
Fernández Sánchez, Juan; Trutschnig, Wolfgang
9
2015
How simplifying and flexible is the simplifying assumption in pair-copula constructions – analytic answers in dimension three and a glimpse beyond. Zbl 1471.62359
Mroz, Thomas; Fuchs, Sebastian; Trutschnig, Wolfgang
8
2021
Baire category results for exchangeable copulas. Zbl 1382.60028
Durante, Fabrizio; Fernández-Sánchez, Juan; Trutschnig, Wolfgang
8
2016
SAFD – an R package for statistical analysis of fuzzy data. Zbl 1348.62007
Trutschnig, Wolfgang; Lubiano, María Asunción; Lastra, Julia
8
2013
Estimating scale-invariant directed dependence of bivariate distributions. Zbl 1510.62253
Junker, Robert R.; Griessenberger, Florian; Trutschnig, Wolfgang
7
2021
A typical copula is singular. Zbl 1329.60012
Durante, Fabrizio; Fernández-Sánchez, Juan; Trutschnig, Wolfgang
7
2015
On the size of the class of bivariate extreme-value copulas with a fixed value of Spearman’s rho or Kendall’s tau. Zbl 1418.62224
Kamnitui, N.; Genest, C.; Jaworski, P.; Trutschnig, W.
6
2019
Baire category results for quasi-copulas. Zbl 1366.60040
Durante, Fabrizio; Fernández-Sánchez, Juan; Trutschnig, Wolfgang
5
2016
Idempotent copulas with fractal support. Zbl 1252.37073
Trutschnig, Wolfgang
4
2012
Highly tempering infinite matrices. II: From divergence to convergence via Toeplitz-Silverman matrices. Zbl 1451.15019
Bernal-González, L.; Fernández-Sánchez, Juan; Seoane-Sepúlveda, J. B.; Trutschnig, Wolfgang
4
2020
Some smoothing properties of the star product of copulas. Zbl 06580251
Trutschnig, Wolfgang
4
2013
A strong consistency result for fuzzy relative frequencies interpreted as estimator for the fuzzy-valued probability. Zbl 1274.62260
Trutschnig, W.
4
2008
Solution to an open problem about a transformation on the space of copulas. Zbl 1328.62304
Durante, Fabrizio; Fernández-Sánchez, Juan; Trutschnig, Wolfgang
4
2014
On a multivariate copula-based dependence measure and its estimation. Zbl 07524973
Griessenberger, Florian; Junker, Robert R.; Trutschnig, Wolfgang
4
2022
Lineability, differentiable functions and special derivatives. Zbl 1459.26004
Fernández-Sánchez, Juan; Rodríguez-Vidanes, D. L.; Seoane-Sepúlveda, J. B.; Trutschnig, Wolfgang
3
2021
A note on singularity of a recently introduced family of Minkowski’s question-mark functions. (Note sur la singularité d’une famille de fonctions “Minkowski’s question-mark” récemment introduite.) Zbl 1382.37038
Fernández Sánchez, Juan; Trutschnig, Wolfgang
3
2017
Some results on homeomorphisms between fractal supports of copulas. Zbl 1283.62109
de Amo, Enrique; Díaz-Carrillo, Manuel; Fernández Sánchez, Juan; Trutschnig, Wolfgang
3
2013
Maximum asymmetry of copulas revisited. Zbl 1390.60059
Kamnitui, Noppadon; Fernández-Sánchez, Juan; Trutschnig, Wolfgang
3
2018
On some properties of reflected maxmin copulas. Zbl 1452.62350
Kamnitui, Noppadon; Trutschnig, Wolfgang
2
2020
Lineability and integrability in the sense of Riemann, Lebesgue, Denjoy, and Khintchine. Zbl 1460.46015
Fernández-Sánchez, J.; Rodríguez-Vidanes, D. L.; Seoane-Sepúlveda, J. B.; Trutschnig, W.
2
2020
Lineability, spaceability, and latticeability of subsets of \(C([0, 1])\) and Sobolev spaces. Zbl 1504.46023
Carmona Tapia, J.; Fernández-Sánchez, J.; Seoane-Sepúlveda, J. B.; Trutschnig, W.
2
2022
A sharp inequality for Kendall’s \(\tau\) and Spearman’s \(\rho\) of extreme-value copulas. Zbl 1434.62086
Trutschnig, Wolfgang; Mroz, Thomas
2
2018
Markov product invariance in classes of bivariate copulas characterized by univariate functions. Zbl 1473.62157
Fernández Sánchez, J.; Trutschnig, W.; Tschimpke, M.
2
2021
Fuzzy probability distributions. Zbl 1064.60005
Trutschnig, Wolfgang; Hareter, Dietmar
1
2004
On the length of copula level curves. Zbl 1431.60015
Coblenz, Maximilian; Grothe, Oliver; Schreyer, Manuela; Trutschnig, Wolfgang
1
2018
Fuzzy probability distributions induced by fuzzy random vectors. Zbl 1122.60035
Trutschnig, Wolfgang
1
2006
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 1201.62003
1
2010
On convergence of associative copulas and related results. Zbl 1476.62095
Kasper, Thimo M.; Fuchs, Sebastian; Trutschnig, Wolfgang
1
2021
Arithmetic and distance-based approach to the statistical analysis of imprecisely valued data. Zbl 1348.62098
Blanco-Fernández, Angela; Casals, María Rosa; Colubi, Ana; Coppi, Renato; Corral, Norberto; de la Rosa de Sáa, Sara; D’Urso, Pierpaolo; Ferraro, Maria Brigida; García-Bárzana, Marta; Gil, María Ángeles; Giordani, Paolo; González-Rodríguez, Gil; López, María Teresa; Lubiano, María Asunción; Montenegro, Manuel; Nakama, Takehiko; Ramos-Guajardo, Ana Belén; Sinova, Beatriz; Trutschnig, Wolfgang
1
2013
On a multivariate copula-based dependence measure and its estimation. Zbl 07524973
Griessenberger, Florian; Junker, Robert R.; Trutschnig, Wolfgang
4
2022
Lineability, spaceability, and latticeability of subsets of \(C([0, 1])\) and Sobolev spaces. Zbl 1504.46023
Carmona Tapia, J.; Fernández-Sánchez, J.; Seoane-Sepúlveda, J. B.; Trutschnig, W.
2
2022
On weak conditional convergence of bivariate Archimedean and extreme value copulas, and consequences to nonparametric estimation. Zbl 1473.62160
Kasper, Thimo M.; Fuchs, Sebastian; Trutschnig, Wolfgang
9
2021
How simplifying and flexible is the simplifying assumption in pair-copula constructions – analytic answers in dimension three and a glimpse beyond. Zbl 1471.62359
Mroz, Thomas; Fuchs, Sebastian; Trutschnig, Wolfgang
8
2021
Estimating scale-invariant directed dependence of bivariate distributions. Zbl 1510.62253
Junker, Robert R.; Griessenberger, Florian; Trutschnig, Wolfgang
7
2021
Lineability, differentiable functions and special derivatives. Zbl 1459.26004
Fernández-Sánchez, Juan; Rodríguez-Vidanes, D. L.; Seoane-Sepúlveda, J. B.; Trutschnig, Wolfgang
3
2021
Markov product invariance in classes of bivariate copulas characterized by univariate functions. Zbl 1473.62157
Fernández Sánchez, J.; Trutschnig, W.; Tschimpke, M.
2
2021
On convergence of associative copulas and related results. Zbl 1476.62095
Kasper, Thimo M.; Fuchs, Sebastian; Trutschnig, Wolfgang
1
2021
Highly tempering infinite matrices. II: From divergence to convergence via Toeplitz-Silverman matrices. Zbl 1451.15019
Bernal-González, L.; Fernández-Sánchez, Juan; Seoane-Sepúlveda, J. B.; Trutschnig, Wolfgang
4
2020
On some properties of reflected maxmin copulas. Zbl 1452.62350
Kamnitui, Noppadon; Trutschnig, Wolfgang
2
2020
Lineability and integrability in the sense of Riemann, Lebesgue, Denjoy, and Khintchine. Zbl 1460.46015
Fernández-Sánchez, J.; Rodríguez-Vidanes, D. L.; Seoane-Sepúlveda, J. B.; Trutschnig, W.
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 1418.62224
Kamnitui, N.; Genest, C.; Jaworski, P.; Trutschnig, W.
6
2019
Maximum asymmetry of copulas revisited. Zbl 1390.60059
Kamnitui, Noppadon; Fernández-Sánchez, Juan; Trutschnig, Wolfgang
3
2018
A sharp inequality for Kendall’s \(\tau\) and Spearman’s \(\rho\) of extreme-value copulas. Zbl 1434.62086
Trutschnig, Wolfgang; Mroz, Thomas
2
2018
On the length of copula level curves. Zbl 1431.60015
Coblenz, Maximilian; Grothe, Oliver; Schreyer, Manuela; Trutschnig, Wolfgang
1
2018
On the exact region determined by Kendall’s \(\tau\) and Spearman’s \(\rho\). Zbl 1414.62202
Schreyer, Manuela; Paulin, Roland; Trutschnig, Wolfgang
20
2017
A note on singularity of a recently introduced family of Minkowski’s question-mark functions. (Note sur la singularité d’une famille de fonctions “Minkowski’s question-mark” récemment introduite.) Zbl 1382.37038
Fernández Sánchez, Juan; Trutschnig, Wolfgang
3
2017
Mass distributions of two-dimensional extreme-value copulas and related results. Zbl 1359.62217
Trutschnig, Wolfgang; Schreyer, Manuela; Fernández-Sánchez, Juan
16
2016
Some members of the class of (quasi-)copulas with given diagonal from the Markov kernel perspective. Zbl 1337.62121
Sánchez, Juan Fernández; Trutschnig, Wolfgang
13
2016
Baire category results for exchangeable copulas. Zbl 1382.60028
Durante, Fabrizio; Fernández-Sánchez, Juan; Trutschnig, Wolfgang
8
2016
Baire category results for quasi-copulas. Zbl 1366.60040
Durante, Fabrizio; Fernández-Sánchez, Juan; Trutschnig, Wolfgang
5
2016
Conditioning-based metrics on the space of multivariate copulas and their interrelation with uniform and levelwise convergence and iterated function systems. Zbl 1329.62269
Fernández Sánchez, Juan; Trutschnig, Wolfgang
23
2015
On the singular components of a copula. Zbl 1336.60020
Durante, Fabrizio; Fernández-Sánchez, Juan; Trutschnig, Wolfgang
11
2015
Singularity aspects of Archimedean copulas. Zbl 1329.62247
Fernández Sánchez, Juan; Trutschnig, Wolfgang
9
2015
A typical copula is singular. Zbl 1329.60012
Durante, Fabrizio; Fernández-Sánchez, Juan; Trutschnig, Wolfgang
7
2015
Copulas with continuous, strictly increasing singular conditional distribution functions. Zbl 1307.60007
Trutschnig, Wolfgang; Fernández Sánchez, Juan
10
2014
Multivariate copulas with hairpin support. Zbl 1292.62086
Durante, Fabrizio; Fernández Sánchez, Juan; Trutschnig, Wolfgang
9
2014
Solution to an open problem about a transformation on the space of copulas. Zbl 1328.62304
Durante, Fabrizio; Fernández-Sánchez, Juan; Trutschnig, Wolfgang
4
2014
Some results on shuffles of two-dimensional copulas. Zbl 1268.62049
Trutschnig, Wolfgang; Sánchez, Juan Fernández
18
2013
On Cesáro convergence of iterates of the star product of copulas. Zbl 1282.62148
Trutschnig, Wolfgang
9
2013
SAFD – an R package for statistical analysis of fuzzy data. Zbl 1348.62007
Trutschnig, Wolfgang; Lubiano, María Asunción; Lastra, Julia
8
2013
Some smoothing properties of the star product of copulas. Zbl 06580251
Trutschnig, Wolfgang
4
2013
Some results on homeomorphisms between fractal supports of copulas. Zbl 1283.62109
de Amo, Enrique; Díaz-Carrillo, Manuel; Fernández Sánchez, Juan; Trutschnig, Wolfgang
3
2013
Arithmetic and distance-based approach to the statistical analysis of imprecisely valued data. Zbl 1348.62098
Blanco-Fernández, Angela; Casals, María Rosa; Colubi, Ana; Coppi, Renato; Corral, Norberto; de la Rosa de Sáa, Sara; D’Urso, Pierpaolo; Ferraro, Maria Brigida; García-Bárzana, Marta; Gil, María Ángeles; Giordani, Paolo; González-Rodríguez, Gil; López, María Teresa; Lubiano, María Asunción; Montenegro, Manuel; Nakama, Takehiko; Ramos-Guajardo, Ana Belén; Sinova, Beatriz; Trutschnig, Wolfgang
1
2013
Idempotent and multivariate copulas with fractal support. Zbl 1348.60020
Trutschnig, Wolfgang; Sánchez, Juan Fernández
22
2012
Some results on the convergence of (quasi-) copulas. Zbl 1408.62101
Trutschnig, Wolfgang
10
2012
Idempotent copulas with fractal support. Zbl 1252.37073
Trutschnig, Wolfgang
4
2012
On a strong metric on the space of copulas and its induced dependence measure. Zbl 1252.46019
Trutschnig, Wolfgang
59
2011
Nonparametric criteria for supervised classification of fuzzy data. Zbl 1319.62125
Colubi, Ana; González-Rodríguez, Gil; Gil, Ángeles M.; Trutschnig, Wolfgang
13
2011
Characterization of the sendograph-convergence of fuzzy sets by means of their \(L_p\)- and levelwise convergence. Zbl 1196.46059
Trutschnig, W.
12
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 1201.62003
1
2010
A new family of metrics for compact, convex (fuzzy) sets based on a generalized concept of mid and spread. Zbl 1181.62016
Trutschnig, Wolfgang; González-Rodríguez, Gil; Colubi, Ana; Gil, María Ángeles
62
2009
Simulation of fuzzy random variables. Zbl 1170.68045
González-Rodríguez, Gil; Colubi, Ana; Trutschnig, Wolfgang
13
2009
A strong consistency result for fuzzy relative frequencies interpreted as estimator for the fuzzy-valued probability. Zbl 1274.62260
Trutschnig, W.
4
2008
Fuzzy probability distributions induced by fuzzy random vectors. Zbl 1122.60035
Trutschnig, Wolfgang
1
2006
Fuzzy probability distributions. Zbl 1064.60005
Trutschnig, Wolfgang; Hareter, Dietmar
1
2004
all top 5

Cited by 241 Authors

45 Fernández-Sánchez, Juan
42 Trutschnig, Wolfgang
21 Colubi, Ana
21 Durante, Fabrizio
19 Gil, María Angeles
16 Sinova, Beatriz
15 González-Rodríguez, Gil
14 Ramos-Guajardo, Ana Belén
13 Blanco-Fernández, Angela
13 Lubiano, María Asunción
12 Úbeda-Flores, Manuel
9 Fuchs, Sebastian L.
8 García-Bárzana, Marta
8 Tasena, Santi
7 De Amo, Enrique
7 de la Rosa de Sáa, Sara
7 Montenegro, Manuel
7 Seoane-Sepúlveda, Juan Benigno
7 Van Aelst, Stefan
6 Casals, María Rosa
6 Diaz Carrillo, Manuel
6 Jaworski, Piotr
6 Mesiar, Radko
6 Sumetkijakan, Songkiat
5 Corral, Norberto
5 De Baets, Bernard
5 López, María Teresa
5 Omladič, Matjaž
4 Arias García, J. J.
4 Genest, Christian
4 Giordani, Paolo E.
4 Griessenberger, Florian
4 Kamnitui, Noppadon
4 Klement, Erich Peter
4 Kokol-Bukovšek, Damjana
4 Salas, Antonia
4 Saminger-Platz, Susanne
3 D’Urso, Pierpaolo
3 Kasper, Thimo M.
3 Kontoghiorghes, Erricos John
3 Košir, Tomaž
3 Maghsoudi, Saeid
3 Mojškerc, Blaž
3 Mroz, Thomas A.
3 Quesada-Molina, José Juan
3 Rodriguez-Vidanes, Daniel L.
3 Santiwipanont, Tippawan
3 Terán, Pedro
3 Tschimpke, Marco
2 Alonso de la Fuente, Miriam
2 Ansari, Jonathan
2 Anzilli, Luca
2 Bagdonas, Gediminas
2 Bernal-Gonzàlez, Luis
2 Coppi, Renato
2 Coroianu, Lucian C.
2 Couso, Inés
2 De Meyer, Hans E.
2 Dubois, Didier
2 Facchinetti, Gisella
2 Ferraro, Maria Brigida
2 Girard, Stéphane
2 González-Barrios, José María
2 Grzegorzewski, Przemysław
2 Guerra, Maria Letizia
2 Hryniewicz, Olgierd
2 Huang, Huan
2 Ignazzi, Claudio
2 Ismail, A. Haj
2 Junker, Robert R.
2 Jwaid, Tarad
2 Khodabandehlou, J.
2 Kolesárová, Anna
2 Kupka, Jiří
2 Mai, Jan-Frederik
2 Manstavičius, Martynas
2 Printechapat, Tanes
2 Rashid, Tabasam
2 Rüschendorf, Ludger
2 Schreyer, Manuela
2 Šeliga, Adam
2 Sempi, Carlo
2 Siburg, Karl Friedrich
2 Stefanini, Luciano
2 Stopar, Nik
2 Strauss, Olivier
2 Strothmann, Christopher
2 Taheri, Seyed Mahmoud
1 Ahn, Jae Youn
1 Aletti, Giacomo
1 An, Phan Thanh
1 Araújo, Gustavo da Silva
1 Arbel, Julyan
1 Arefi, Mohsen
1 Bae, Taehan
1 Báez-Sánchez, Andrés D.
1 Bashir, Zia
1 Bielawski, Jakub
1 Bladt, Martin
1 Bongiorno, Enea Giuseppe
...and 141 more Authors
all top 5

Cited in 53 Serials

47 Fuzzy Sets and Systems
23 Dependence Modeling
20 Journal of Mathematical Analysis and Applications
17 Information Sciences
11 International Journal of Approximate Reasoning
8 Journal of Multivariate Analysis
6 Computational Statistics and Data Analysis
5 Journal of Computational and Applied Mathematics
5 Journal of Statistical Planning and Inference
5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
4 Statistics & Probability Letters
4 European Journal of Operational Research
3 Communications in Statistics. Theory and Methods
3 Bernoulli
3 Extremes
3 Advances in Data Analysis and Classification. ADAC
3 Electronic Journal of Statistics
2 Applied Mathematics and Computation
2 Journal of Applied Probability
2 Metron
2 Mediterranean Journal of Mathematics
2 Iranian Journal of Fuzzy Systems
1 Computers & Mathematics with Applications
1 Metrika
1 Chaos, Solitons and Fractals
1 Annals of the Institute of Statistical Mathematics
1 Canadian Mathematical Bulletin
1 Journal of Optimization Theory and Applications
1 Kybernetika
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Proceedings of the American Mathematical Society
1 Topology and its Applications
1 Insurance Mathematics & Economics
1 Statistics
1 Statistical Science
1 Journal of Theoretical Probability
1 Machine Learning
1 Computational Statistics
1 Communications in Statistics. Simulation and Computation
1 Finance and Stochastics
1 Soft Computing
1 Discrete Dynamics in Nature and Society
1 Econometric Theory
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Hacettepe Journal of Mathematics and Statistics
1 Fuzzy Optimization and Decision Making
1 Journal of the Korean Statistical Society
1 AStA. Advances in Statistical Analysis
1 Uniform Distribution Theory
1 Banach Journal of Mathematical Analysis
1 TWMS Journal of Pure and Applied Mathematics
1 European Actuarial Journal
1 Journal of Mathematics

Citations by Year