Peer-reviewed Journal Publications - Mathematics (sorted by acceptance date)

[27] M. Coblenz, O. Grothe, M. Schreyer, W. Trutschnig: On the Length of Copula Level Curves, Journal of Multivariate Analysis 167, 347-365 (2018), 10.1016/j.jmva.2018.06.001   preprint (pdf)
      
[26] N. Kamnitui, J. Fernández Sánchez, W. Trutschnig: Maximum asymmetry of copulas revisited, Dependence Modeling 6(1), 47-62 (2018) 10.1515/demo-2018-0003   preprint (pdf)
      
[25] J. Fernández Sánchez, W. Trutschnig: A note on singularity of a recently introduced family of Minkowski's question-mark functions, Comptes Rendus Mathematique 355(9), 956-959 (2017) 10.1016/j.crma.2017.09.009   preprint (pdf)
      
[24] F. Durante, J. Fernández Sánchez, W. Trutschnig: Baire category results for quasi-copulas, Dependence Modeling 4, 215-223 (2016) 10.1515/demo-2016-0012   preprint (pdf)
      
[23] W. Trutschnig, M. Schreyer, J. Fernández Sánchez: Mass distributions of two-dimensional extreme-value copulas and related results, Extremes 19, 405-427 (2016) 10.1007/s10687-016-0249-1   preprint (pdf)
      
[22] M. Schreyer, R. Paulin, W. Trutschnig: On the exact region determined by Kendall's tau and Spearman's rho, Journal of the Royal Statistical Society: Series B (Statistical Methodology) 79 (2), 613-633 (2017) 10.1111/rssb.12181   preprint (pdf)   animation of the boundary of the region
      
[21] J. Fernández Sánchez, W. Trutschnig: Singularity aspects of Archimedean copulas, Journal of Mathematical Analysis and Applications 432, 103-113 (2015) 10.1016/j.jmaa.2015.06.036   preprint (pdf)
      
[20] F. Durante, J. Fernández Sánchez, W. Trutschnig: A typical copula is singular, Journal of Mathematical Analysis and Applications 430, 517-527 (2015) 10.1016/j.jmaa.2015.05.009   preprint (pdf)
      
[19] F. Durante, J. Fernández Sánchez, W. Trutschnig: Baire category results for exchangeable copulas, Fuzzy Sets and Systems 284, 146-151 (2016) doi:10.1016/j.fss.2015.04.010   preprint (pdf)
      
[18] F. Durante, J. Fernández Sánchez, W. Trutschnig: Solution to an open problem about a transformation on the space of copulas, Dependence Modeling 2, 65–72 (2014), doi:10.2478/demo-2014-0005   preprint (pdf)
      
[17] F. Durante, J. Fernández Sánchez, W. Trutschnig: On the singular components of a copula, Journal of Applied Probability 52, 1175-1182 (2015), doi:10.1239/jap/1450802760   preprint (pdf)
      
[16] F. Durante, J. Fernández Sánchez, W. Trutschnig: Multivariate copulas with hairpin support, Journal of Multivariate Analysis 130, 323–334 (2014), doi:10.1016/j.jmva.2014.06.009   preprint (pdf)
         
[15] J. Fernández Sánchez, W. Trutschnig: Conditioning based metrics on the space of multivariate copulas and their interrelation with uniform and levelwise convergence and Iterated Function Systems, Journal of Theoretical Probability 28, 1311–1336 (2015), doi:10.1007/s10959-014-0541-4   preprint (pdf)
         
[14] J. Fernández Sánchez, W. Trutschnig: Some members of the class of (quasi-) copulas with given diagonal from the Markov kernel perspective, Communications in Statistics Theory and Methods 45, 1508-1526 (2016), doi:10.1080/03610926.2013.864856   preprint (pdf)
         
[13] W. Trutschnig, J. Fernández Sánchez: Copulas with continuous, strictly increasing singular conditional distribution functions, Journal of Mathematical Analysis and Applications 410, 1014-1027 (2014), doi:10.1016/j.jmaa.2013.09.032   preprint (pdf)
         
[12] F. Durante, J. Fernández Sánchez, W. Trutschnig: On the interrelation between Dempster-Shafer belief structures and their Belief Cumulative Distribution Functions, Knowledge-Based Systems 52, 107–113 (2013), doi:10.1016/j.knosys.2013.07.012   preprint (pdf)
         
[11] E. de Amo, M. Diaz Carrillo, J. Fernández Sánchez, W. Trutschnig: Some results on homeomorphisms between fractal supports of copulas, Nonlinear Analysis Series A: Theory, Methods & Applications 85, 132-144 (2013), doi:10.1016/j.na.2013.02.027   preprint (pdf)
         
[10] W. Trutschnig: On Cesáro convergence of iterates of the Star Product of copulas, Statistics and Probability Letters 83, 357-365 (2013), doi:10.1016/j.spl.2012.09.025   preprint (pdf)
         
[09] W. Trutschnig, J. Fernández Sánchez: Some results on shuffes of two-dimensional copulas, Journal of Statistical Planning and Inference 143, 251-260 (2013), doi:10.1016/j.jspi.2012.07.017   preprint (pdf)
         
[08] W. Trutschnig, J. Fernández Sánchez: Idempotent and multivariate copulas with fractal support, Journal of Statistical Planning and Inference 142, 3086-3096 (2012), doi:10.1016/j.jspi.2012.06.012   preprint (pdf)
         
[07] W. Trutschnig: Some results on the convergence of (quasi-) copulas, Fuzzy Sets and Systems 191, 113-121 (2012), doi:10.1016/j.fss.2011.06.013   preprint (pdf)
         
[06] W. Trutschnig: On a strong metric on the space of copulas and its induced dependence measure, Journal of Mathematical Analysis and Applications 384, 690-705 (2011), doi:10.1016/j.jmaa.2011.06.013   preprint (pdf)
         
[05] A. Colubi, G. González-Rodriguez, M.A. Gil, W. Trutschnig: Nonparametric criteria for supervised classification of fuzzy data, International Journal of Approximate Reasoning 52, 1272-1282 (2011), doi:10.1016/j.ijar.2011.05.007
      
[04] W. Trutschnig: Characterization of the sendograph-convergence of fuzzy vectors by means of their Lp- and levelwise convergence, Fuzzy Sets and Systems 161, 1064-1077 (2010), doi:10.1016/j.fss.2009.07.005
      
[03] W. Trutschnig, G. González-Rodriguez, A. Colubi, M.A. Gil: A new family of metrics for compact, convex (fuzzy) sets based on a generalized concept of mid and spread, Information Sciences 179, 3964-3972 (2009), doi:10.1016/j.ins.2009.06.023
      
[02] G. González-Rodriguez, A. Colubi, W. Trutschnig: Simulation of fuzzy random variables, Information Sciences 179, 642-653 (2009), doi:10.1016/j.ins.2008.10.018
      
[01] W. Trutschnig: A strong consistency result for fuzzy relative frequencies interpreted as estimator for the fuzzy-valued probability, Fuzzy Sets and Systems 159, 259-269 (2008), doi:10.1016/j.fss.2007.05.017
      

Peer-reviewed Journal Publications - Interdisciplinary

[I08] W. Senker, H. Stefanits, M. Gmeiner, W. Trutschnig, Ch. Radl, A. Gruber: Type 2 Diabetes is not a risk factor for complications in Minimally Invasive Fusion Techniques in the Lumbar Spine, to appear in Journal of Neurosurgical Sciences
      
[I07] J.H. Parkinson, R.H. Kutil, J. Kuppler, R.R. Junker, W. Trutschnig, A.C. Bathke: A Fast and Robust Way to Estimate Overlap of n-dimensional Niches, and Draw Inference, to appear in The International Journal of Biostatistics, doi: 10.1515/ijb-2017-0028
      
[I06] W. Senker, H. Stefanits, M. Gmeiner, W. Trutschnig, I. Weinfurter, A. Gruber: Does obesity affect peri- and postoper World Neurosurgery 111, e374--e385 (2018), doi:10.1016/j.wneu.2017.12.075
      
[I05] J. Kuppler, M. Höfers, W. Trutschnig, A.C. Bathke, J. Eiben, C.C Daehler, R. Junker: Exotic flower visitors exploit large floral trait spaces resulting in asymmetric resource partitioning with native visitors, Functional Ecology 31(12), 2244-2254 (2017), doi:10.1111/1365-2435.12932
      
[I04] M. Wagner, W. Trutschnig, A.C. Bathke, U. Ruprecht: A first approach to calculate BIOCLIM variables and climate zones for Antarctica, Theoretical and Applied Climatology 131, 1397--1415 (2018)   doi:10.1007/s00704-017-2053-5
      
[I03] S. Pittner, B. Ehrenfellner, A. Zissler, V. Racher, W. Trutschnig, A.C. Bathke, A.M. Sänger, W. Stoiber, P. Steinbacher, F.C. Monticelli: First application of a protein based approach for time since death estimation, International Journal of Legal Medicine 131(2), 479-483 (2017), doi:10.1007/s00414-016-1459-4
      
[I02] R.R. Junker, J. Kuppler, A.C. Bathke, M.L. Schreyer, W. Trutschnig: Dynamic range boxes - A robust non-parametric approach to quantify size and overlap of n-dimensional hypervolumes, Methods in Ecology and Evolution 7(12), 1503-1513 (2016), doi:10.1111/2041-210X.12611
      
[I01] P. Ranacher, R. Brunauer, W. Trutschnig, S. Van der Spek, S. Reich: Why GPS makes distances bigger than they are, International Journal of Geographical Information Science 30, 316-333 (2016), doi:10.1080/13658816.2015.1086924 (open access, 9000 reads October 2015 - January 2016) IEEE article on the paper       
      

Submitted for publication - Mathematics

[--] J. Fernández Sánchez, W. Trutschnig: Nested square roots of 2 revisited
      
[--] N. Kamitui, Ch. Genest, P. Jaworski, W. Trutschnig: On the size of the class of bivariate extreme-value copulas with a fixed value of Spearman's rho or Kendall's tau old version on arXiv
      
[--] F. Durante, J. Fernández Sánchez, W. Trutschnig: Spatially homogeneous copulas
      
[--] T. Mroz, W. Trutschnig, J. Fernández Sánchez: Distributions with fixed marginals maximizing the mass of the endograph of a function preprint on arXiv
      

Submitted for publication - Interdisciplinary

[--] W. Senker, H. Stefanits, M. Gmeiner, W. Trutschnig, Ch. Radl, A. Gruber: The Influence of Age on Complication Rates in Minimally Invasive Spinal Fusion Surgery
      
[--] W. Senker, H. Stefanits, M. Gmeiner, W. Trutschnig, Ch. Radl, A. Gruber: MAY - The Peri- and Postoperative Morbidity Rate of Minimally Invasive Fusion Techniques of the Lumbar Spine in Older Patients
      

In preparation - Mathematics

[--] J. Fernández Sánchez, W. Trutschnig, N. Kamnitui: The Markov product of copulas revisited
      

Edited Books, Book Chapters, Proceedings

[B7] W. Trutschnig: Complete dependence everywhere?, in M. Úbeda Flores, E. de Amo Artero, F. Durante, J. Fernández Sánchez (Eds) Copulas and Dependence Models with Applications - Contributions in Honor of Roger B. Nelsen, pp. 225-240, Springer (2017), doi:10.1007/978-3-319-64221-5
      
[B6] F. Durante, J. Fernández Sánchez, W. Trutschnig: Singular copulas, Oberwolfach Reports, 2015(20), 40-43 doi:10.4171/OWR/2015/20
      
[B5] W. Trutschnig: J. Fernández Sánchez: Some consequences of the Markov kernel perspective of copulas, in: K. Glau, M. Scherer, R. Zagst (Eds), Innovations in Quantitative Risk Management, Springer Proceedings in Mathematics & Statistics, Volume 99, pp. 393-409 (2014) doi:10.1007/978-3-319-09114-3_23
      
[B4] W. Trutschnig: Some smoothing properties of the Star Product of copulas, in: R. Kruse et al. (Eds), Synergies of Soft Computing and Statistics for Intelligent Data Analysis, Springer Series: Advances in Intelligent and Soft Computing, Volume 190, Part 4, pp. 349-357 (2013) doi:10.1007/978-3-642-33042-1_38
      
[B3] W. Trutschnig: Idempotent copulas with fractal support, in: S. Greco et al. (Eds), Communications in Computer and Information Science, Springer Series: Advances in Computational Intelligence, Volume 298, Part 3, pp. 161-170 (2012), doi:10.1007/978-3-642-31715-6_18
      
[B2] C. Borgelt, G. González-Rodriguez, W. Trutschnig, M.A. Lubiano, M.A. Gil, P. Grzegorzewski, O. Hryniewicz (Eds): Combining Soft Computing and Statistical Methods in Data Analysis, Springer Series: Advances in Intelligent and Soft Computing, Vol. 77 (2010), doi:10.1007/978-3-642-14746-3
      
[B1] M.A. Lubiano, W. Trutschnig: ANOVA for fuzzy random variables using the R-package SAFD in: C. Borgelt et al. (Eds), Combining Soft Computing and Statistical Methods in Data Analysis, Springer Series: Advances in Intelligent and Soft Computing, Volume 77, pp. 449-456 (2010), doi:10.1007/978-3-642-14746-3_56