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Trutschnig, Wolfgang

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

Publications by Year

Citations contained in zbMATH Open

42 Publications have been cited 344 times in 193 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
57
2009
On a strong metric on the space of copulas and its induced dependence measure. Zbl 1252.46019
Trutschnig, Wolfgang
46
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
18
2015
Idempotent and multivariate copulas with fractal support. Zbl 1348.60020
Trutschnig, Wolfgang; Sánchez, Juan Fernández
16
2012
Some results on shuffles of two-dimensional copulas. Zbl 1268.62049
Trutschnig, Wolfgang; Sánchez, Juan Fernández
15
2013
Mass distributions of two-dimensional extreme-value copulas and related results. Zbl 1359.62217
Trutschnig, Wolfgang; Schreyer, Manuela; Fernández-Sánchez, Juan
13
2016
Nonparametric criteria for supervised classification of fuzzy data. Zbl 1319.62125
Colubi, Ana; González-Rodríguez, Gil; Gil, Ángeles M.; Trutschnig, Wolfgang
12
2011
Some members of the class of (quasi-)copulas with given diagonal from the Markov kernel perspective. Zbl 1337.62121
Sánchez, Juan Fernández; Trutschnig, Wolfgang
12
2016
Simulation of fuzzy random variables. Zbl 1170.68045
González-Rodríguez, Gil; Colubi, Ana; Trutschnig, Wolfgang
11
2009
On the exact region determined by Kendall’s \(\tau\) and Spearman’s \(\rho\). Zbl 1414.62202
Schreyer, Manuela; Paulin, Roland; Trutschnig, Wolfgang
10
2017
Characterization of the sendograph-convergence of fuzzy sets by means of their \(L_p\)- and levelwise convergence. Zbl 1196.46059
Trutschnig, W.
10
2010
Some results on the convergence of (quasi-) copulas. Zbl 1408.62101
Trutschnig, Wolfgang
9
2012
Copulas with continuous, strictly increasing singular conditional distribution functions. Zbl 1307.60007
Trutschnig, Wolfgang; Fernández Sánchez, Juan
9
2014
On Cesáro convergence of iterates of the star product of copulas. Zbl 1282.62148
Trutschnig, Wolfgang
8
2013
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
On the singular components of a copula. Zbl 1336.60020
Durante, Fabrizio; Fernández-Sánchez, Juan; Trutschnig, Wolfgang
8
2015
Multivariate copulas with hairpin support. Zbl 1292.62086
Durante, Fabrizio; Fernández Sánchez, Juan; Trutschnig, Wolfgang
7
2014
A typical copula is singular. Zbl 1329.60012
Durante, Fabrizio; Fernández-Sánchez, Juan; Trutschnig, Wolfgang
7
2015
Singularity aspects of Archimedean copulas. Zbl 1329.62247
Fernández Sánchez, Juan; Trutschnig, Wolfgang
6
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.
4
2019
A strong consistency result for fuzzy relative frequencies interpreted as estimator for the fuzzy-valued probability. Zbl 1274.62260
Trutschnig, W.
4
2008
Idempotent copulas with fractal support. Zbl 1252.37073
Trutschnig, Wolfgang
4
2012
Baire category results for quasi-copulas. Zbl 1366.60040
Durante, Fabrizio; Fernández-Sánchez, Juan; Trutschnig, Wolfgang
4
2016
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
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
4
2021
Solution to an open problem about a transformation on the space of copulas. Zbl 1328.62304
Durante, Fabrizio; Fernández-Sánchez, Juan; Trutschnig, Wolfgang
3
2014
Some smoothing properties of the star product of copulas. Zbl 06580251
Trutschnig, Wolfgang
3
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
Estimating scale-invariant directed dependence of bivariate distributions. Zbl 07345904
Junker, Robert R.; Griessenberger, Florian; Trutschnig, Wolfgang
3
2021
Lineability, differentiable functions and special derivatives. Zbl 1459.26004
Fernández-Sánchez, Juan; Rodríguez-Vidanes, D. L.; Seoane-Sepúlveda, J. B.; Trutschnig, Wolfgang
2
2021
On some properties of reflected maxmin copulas. Zbl 1452.62350
Kamnitui, Noppadon; Trutschnig, Wolfgang
2
2020
Maximum asymmetry of copulas revisited. Zbl 1390.60059
Kamnitui, Noppadon; Fernández-Sánchez, Juan; Trutschnig, Wolfgang
2
2018
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
2
2017
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 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
2
2021
Fuzzy probability distributions. Zbl 1064.60005
Trutschnig, Wolfgang; Hareter, Dietmar
1
2004
A sharp inequality for Kendall’s \(\tau\) and Spearman’s \(\rho\) of extreme-value copulas. Zbl 1434.62086
Trutschnig, Wolfgang; Mroz, Thomas
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 1201.62003
1
2010
Fuzzy probability distributions induced by fuzzy random vectors. Zbl 1122.60035
Trutschnig, Wolfgang
1
2006
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
Markov product invariance in classes of bivariate copulas characterized by univariate functions. Zbl 1473.62157
Fernández Sánchez, J.; Trutschnig, W.; Tschimpke, M.
1
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
4
2021
Estimating scale-invariant directed dependence of bivariate distributions. Zbl 07345904
Junker, Robert R.; Griessenberger, Florian; Trutschnig, Wolfgang
3
2021
Lineability, differentiable functions and special derivatives. Zbl 1459.26004
Fernández-Sánchez, Juan; Rodríguez-Vidanes, D. L.; Seoane-Sepúlveda, J. B.; Trutschnig, Wolfgang
2
2021
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
2
2021
Markov product invariance in classes of bivariate copulas characterized by univariate functions. Zbl 1473.62157
Fernández Sánchez, J.; Trutschnig, W.; Tschimpke, M.
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.
4
2019
Maximum asymmetry of copulas revisited. Zbl 1390.60059
Kamnitui, Noppadon; Fernández-Sánchez, Juan; Trutschnig, Wolfgang
2
2018
A sharp inequality for Kendall’s \(\tau\) and Spearman’s \(\rho\) of extreme-value copulas. Zbl 1434.62086
Trutschnig, Wolfgang; Mroz, Thomas
1
2018
On the exact region determined by Kendall’s \(\tau\) and Spearman’s \(\rho\). Zbl 1414.62202
Schreyer, Manuela; Paulin, Roland; Trutschnig, Wolfgang
10
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
2
2017
Mass distributions of two-dimensional extreme-value copulas and related results. Zbl 1359.62217
Trutschnig, Wolfgang; Schreyer, Manuela; Fernández-Sánchez, Juan
13
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
12
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
4
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
18
2015
On the singular components of a copula. Zbl 1336.60020
Durante, Fabrizio; Fernández-Sánchez, Juan; Trutschnig, Wolfgang
8
2015
A typical copula is singular. Zbl 1329.60012
Durante, Fabrizio; Fernández-Sánchez, Juan; Trutschnig, Wolfgang
7
2015
Singularity aspects of Archimedean copulas. Zbl 1329.62247
Fernández Sánchez, Juan; Trutschnig, Wolfgang
6
2015
Copulas with continuous, strictly increasing singular conditional distribution functions. Zbl 1307.60007
Trutschnig, Wolfgang; Fernández Sánchez, Juan
9
2014
Multivariate copulas with hairpin support. Zbl 1292.62086
Durante, Fabrizio; Fernández Sánchez, Juan; Trutschnig, Wolfgang
7
2014
Solution to an open problem about a transformation on the space of copulas. Zbl 1328.62304
Durante, Fabrizio; Fernández-Sánchez, Juan; Trutschnig, Wolfgang
3
2014
Some results on shuffles of two-dimensional copulas. Zbl 1268.62049
Trutschnig, Wolfgang; Sánchez, Juan Fernández
15
2013
On Cesáro convergence of iterates of the star product of copulas. Zbl 1282.62148
Trutschnig, Wolfgang
8
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
3
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
16
2012
Some results on the convergence of (quasi-) copulas. Zbl 1408.62101
Trutschnig, Wolfgang
9
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
46
2011
Nonparametric criteria for supervised classification of fuzzy data. Zbl 1319.62125
Colubi, 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 1196.46059
Trutschnig, 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 1201.62003
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
57
2009
Simulation of fuzzy random variables. Zbl 1170.68045
González-Rodríguez, Gil; Colubi, Ana; Trutschnig, Wolfgang
11
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 203 Authors

37 Fernández-Sánchez, Juan
37 Trutschnig, Wolfgang
21 Colubi, Ana
19 Gil, María Angeles
18 Durante, Fabrizio
15 González-Rodríguez, Gil
15 Sinova, Beatriz
14 Ramos-Guajardo, Ana Belén
13 Blanco-Fernández, Angela
13 Lubiano, María Asunción
10 Úbeda-Flores, Manuel
8 de la Rosa de Sáa, Sara
8 García-Bárzana, Marta
8 Tasena, Santi
7 Van Aelst, Stefan
6 Casals, María Rosa
6 Fuchs, Sebastian L.
6 Jaworski, Piotr
6 Montenegro, Manuel
6 Seoane-Sepúlveda, Juan Benigno
5 Corral, Norberto
5 De Amo, Enrique
5 De Baets, Bernard
5 López, María Teresa
5 Mesiar, Radko
5 Sumetkijakan, Songkiat
4 Arias García, J. J.
4 Diaz Carrillo, Manuel
4 Giordani, Paolo E.
4 Kamnitui, Noppadon
4 Omladič, Matjaž
4 Salas, Antonia
3 D’Urso, Pierpaolo
3 Genest, Christian
3 Klement, Erich Peter
3 Kontoghiorghes, Erricos John
3 Košir, Tomaž
3 Maghsoudi, Saeid
3 Quesada-Molina, José Juan
3 Rodriguez-Vidanes, Daniel L.
3 Saminger-Platz, Susanne
3 Santiwipanont, Tippawan
2 Ansari, Jonathan
2 Anzilli, Luca
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 Griessenberger, Florian
2 Hryniewicz, Olgierd
2 Huang, Huan
2 Ignazzi, Claudio
2 Junker, Robert R.
2 Kasper, Thimo M.
2 Khodabandehlou, J.
2 Kokol-Bukovšek, Damjana
2 Kolesárová, Anna
2 Kupka, Jiří
2 Mai, Jan-Frederik
2 Mojškerc, Blaž
2 Mroz, Thomas A.
2 Printechapat, Tanes
2 Rashid, Tabasam
2 Rüschendorf, Ludger
2 Schreyer, Manuela
2 Šeliga, Adam
2 Siburg, Karl Friedrich
2 Strauss, Olivier
2 Strothmann, Christopher
2 Taheri, Seyed Mahmoud
2 Terán, Pedro
1 Ahn, Jae Youn
1 Aletti, Giacomo
1 Alonso de la Fuente, Miriam
1 An, Phan Thanh
1 Arbel, Julyan
1 Arefi, Mohsen
1 Báez-Sánchez, Andrés D.
1 Bagdonas, Gediminas
1 Bashir, Zia
1 Bielawski, Jakub
1 Bladt, Martin
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 Carmona Tapia, Jose
1 Chachi, Jalal
1 Chalco-Cano, Yurilev
1 Chamizo Lorente, Fernando
1 Charnomordic, Brigitte
1 Chu, Han-Min
1 Coblenz, Maximilian
...and 103 more Authors
all top 5

Cited in 45 Serials

37 Fuzzy Sets and Systems
20 Dependence Modeling
16 Journal of Mathematical Analysis and Applications
16 Information Sciences
11 International Journal of Approximate Reasoning
7 Journal of Multivariate Analysis
6 Computational Statistics and Data Analysis
4 Journal of Statistical Planning and Inference
4 Statistics & Probability Letters
4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
3 Journal of Computational and Applied Mathematics
3 Communications in Statistics. Theory and Methods
3 Advances in Data Analysis and Classification. ADAC
2 Applied Mathematics and Computation
2 Journal of Applied Probability
2 Metron
2 European Journal of Operational Research
2 Extremes
2 Mediterranean Journal of Mathematics
2 Iranian Journal of Fuzzy Systems
2 Electronic Journal of Statistics
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 Topology and its Applications
1 Insurance Mathematics & Economics
1 Statistics
1 Statistical Science
1 Journal of Theoretical Probability
1 Computational Statistics
1 Bernoulli
1 Soft Computing
1 Discrete Dynamics in Nature and Society
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Hacettepe Journal of Mathematics and Statistics
1 Fuzzy Optimization and Decision Making
1 AStA. Advances in Statistical Analysis
1 Uniform Distribution Theory
1 Banach Journal of Mathematical Analysis
1 Journal of Mathematics

Citations by Year