Textbooks: # 1
Peer-reviewed Journal Publications: Mathematics # 55, Interdisciplinary # 25

(T) Textbook

[01] J. Fernández-Sánchez, J. López-Salazar Codes, J.B. Seoane Sepúlveda, W. Trutschnig: Generalized Notions of Continued Fractions: Ergodicity and Number Theoretic Applications (1st ed.) , Chapman and Hall/CRC (2023), doi:10.1201/9781003404064   
      

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

[55] N.P. Dietrich, W. Trutschnig: On differentiability and mass distributions of typical bivariate copulas, Fuzzy Sets and Systmes 498, 109150 (2025),    doi:10.1016/j.fss.2024.109150    preprint (pdf)
      
[54] M. Tschimpke, M. Schreyer, W. Trutschnig: Revisiting the region determined by Spearman's rho and Spearman's footrule, Journal of Computational and Applied Mathematics 457, 116259 (2025), doi:10.1016/j.cam.2024.116259    preprint (pdf)
      
[53] J. Fernández Sánchez, W. Trutschnig: A link between Kendall's tau, the length measure and the surface of bivariate copulas, and a consequence to copulas with self-similar support, Dependence Modeling 11, 20230105 (2023), doi:10.1515/demo-2023-0105    preprint (pdf)
      
[52] T. Kasper, N. Dietrich, W. Trutschnig: On convergence and mass distributions of multivariate Archimedean copulas and their interplay with the Williamson transform, to appear in Journal of Mathematical Analysis and Applications 529(1), 127555 (2024), doi:10.1016/j.jmaa.2023.127555    preprint (pdf)
      
[51] T. Mroz, J. Fernández Sánchez, S. Fuchs, W. Trutschnig: On distributions with fixed marginals maximizing the joint or the prior default probability, estimation, and related results, Journal of Statistical Planning and Inference 223, 32-52 (2023), doi:10.1016/j.jspi.2022.07.005    preprint (pdf)
      
[50] F. Griessenberger, W. Trutschnig: Maximal asymmetry of bivariate copulas and consequences to measures of dependence, Dependence Modeling 10, 1-25 (2022), doi:10.1515/demo-2022-0115    preprint (pdf)
      
[49] L. Bernal-González, J. Fernández Sánchez, J.B. Seoane-Sepúlveda, W. Trutschnig: On special partitions of [0,1] and lineability within families of bounded variation functions, Journal of Convex Analysis 30(1), 065-080 (2023)    preprint (pdf)
      
[48] J. Carmona Tapia, J. Fernández Sánchez, J.B. Seoane-Sepúlveda, W. Trutschnig: Lineability, Spaceability, and Latticeability of subsets of C([0,1]) and Sobolev Spaces, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 116, 113 (2022), doi:10.1007/s13398-022-01256-y    preprint (pdf)
      
[47] F. Griessenberger, R.R. Junker, W. Trutschnig: On a multivariate copula-based dependence measure and its estimation, Electronic Journal of Statistics 16, 2206-2251 (2022), doi:10.1214/22-EJS2005    preprint (pdf)
      
[46] J. Fernández Sánchez, D.L. Rodríguez-Vidanes, J.B. Seoane-Sepúlveda, W. Trutschnig: Lineability and K-linear discontinuous functions, Linear Algebra and its Applications 645, 52-67 (2022), doi:10.1016/j.laa.2022.03.007    preprint (pdf)
      
[45] T. Kasper, S. Fuchs, W. Trutschnig: On convergence of associative copulas and related results, Dependence Modeling 9, 307-326 (2021), doi:10.1515/demo-2021-0114    preprint (pdf)
      
[44] J. Fernández Sánchez, W. Trutschnig, M. Tschimpke: Markov product invariance in classes of bivariate copulas characterized by univariate functions, Journal of Mathematical Analysis and Applications 501(2), 125184 (2021), doi:10.1016/j.jmaa.2021.125184   preprint (pdf)
      
[43] T. Mroz, S. Fuchs, W. Trutschnig: How simplifying and flexible is the simplifying assumption in pair-copula constructions - analytic answers in dimension three and a glimpse beyond, Electronic Journal of Statistics 15, 1951-1992 (2021), doi:10.1214/21-EJS1832    preprint (pdf)
      
[42] F. Griessenberger, J. Fernández Sánchez, W. Trutschnig: Some properties of double shuffles of bivariate copulas and (extreme) copulas invariant with respect to Lueroth double shuffles, Fuzzy Sets and Systems 428, 102-120 (2022), doi:10.1016/j.fss.2021.02.014   preprint (pdf)
      
[41] T. Kasper, S. Fuchs, W. Trutschnig: On weak conditional convergence of bivariate Archimedean and Extreme Value copulas, and consequences to nonparametric estimation, Bernoulli 27(4), 2217-2240 (2021), doi:10.3150/20-BEJ1306   preprint (pdf)
      
[40] F. Durante, J. Fernández Sánchez, W. Trutschnig, M. Ubeda-Flores: On the size of subclasses of quasi-copulas and their Dedekind-MacNeille completion, Mathematics 8(12), 2238 (2020), doi:10.3390/math8122238
      
[39] S. Fuchs, W. Trutschnig: On quantile-based co-risk measures and their estimation, Dependence Modeling 8, 396-416 (2020), doi:10.1515/demo-2020-0021  preprint (pdf)
      
[38] F. Durante, J. Fernández Sánchez, C. Ignazzi, W. Trutschnig: On extremal problems for pairs of uniformly distributed sequences and integrals with respect to copula measures, Uniform Distribution Theory 15(2), 99-112 (2020), doi:10.2478/udt-2020-0013   preprint (pdf)
      
[37] J. Fernández Sánchez, J.B. Seoane-Sepílveda, W. Trutschnig: Lineability, algebrability, and sequences of random variables, Mathematische Nachrichten 295(5), 861-875 (2022), doi:10.1002/mana.202000102   preprint (pdf)
      
[36] J. Fernández Sánchez, D.L. Rodríguez-Vidanes, J.B. Seoane-Sepúlveda, W. Trutschnig: Lineability, differentiable functions and special derivatives, Banach Journal of Mathematical Analysis 15, 18 (2021), doi:10.1007/s43037-020-00103-9     preprint (pdf)
      
[35] L. Bernal-González, J. Fernández Sánchez, J.B. Seoane-Sepúlveda, W. Trutschnig: Highly tempering infinite matrices II: From divergence to convergence via Toeplitz-Silverman matrices, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemzáticas 114, 202 (2020), doi:10.1007/s13398-020-00934-z     preprint (pdf)
      
[34] R.R. Junker, F. Griessenberger, W. Trutschnig: Estimating scale-invariant directed dependence of bivariate distributions, Computational Statistics and Data Analysis 153, 107058 (2021), doi:10.1016/j.csda.2020.107058   preprint (pdf)
      
[33] J. Fernández Sánchez, D.L. Rodríguez-Vidanes, J.B. Seoane-Sepúlveda, W. Trutschnig: Lineability and integrability in the sense of Riemann, Lebesgue, Denjoy, and Khintchine, Journal of Mathematical Analysis and Applications 492(1), 124433 (2020), doi:10.1016/j.jmaa.2020.124433   preprint (pdf)
      
[32] N. Kamnitui, W. Trutschnig: On some properties of reflected maxmin copulas, Fuzzy Sets and Systems 393, 53-74 (2020), doi:10.1016/j.fss.2019.07.007   preprint (pdf)
      
[31] J. Fernández Sánchez, W. Trutschnig: Nested Square Roots of 2 Revisited, The American Mathematical Monthly 127(4), 344-351 (2020), doi:10.1080/00029890.2020.1707059   preprint (pdf)
      
[30] T. Mroz, W. Trutschnig: A sharp inequality for Kendall's tau and Spearman's rho of Extreme-Value Copulas, Dependence Modeling 6, 369-376 (2018), doi:10.1515/demo-2018-0021   preprint (pdf)
      
[29] 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, Journal of Mathematical Analysis and Applications 472(1), 920-936 (2019), doi:10.1016/j.jmaa.2018.11.057   preprint (pdf)
      
[28] F. Durante, J. Fernández Sánchez, W. Trutschnig: Spatially homogeneous copulas, Annals of the Institute of Statistical Mathematics, 72(2), 607-626 (2020), doi:10.1007/s10463-018-0703-8   preprint (pdf)
      
[27] M. Coblenz, O. Grothe, M. Schreyer, W. Trutschnig: On the Length of Copula Level Curves, Journal of Multivariate Analysis 167, 347-365 (2018), doi: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), doi: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), doi: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), doi: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), doi: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), doi: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), doi: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
      

(I) Peer-reviewed Journal Publications - Interdisciplinary

[I25] M. Löckinger, W. Trutschnig, W. Ulrich, P. Gros, T. Schmitt, J.C. Habel: Ecological performance determines phenological responses of butterflies in Northern Austria, Global Ecology and Conservation 54, e03114 (2024), doi: 10.1016/j.gecco.2024.e03114
      
[I24] M. Tschimpke, A. Gerber, S. Neubert, M. Schreyer, W. Trutschnig: Statistical Methods for Predicting of the Quality of Aluminum Ingots, Key Engineering Materials 968, 109-116 (2023) doi: 10.4028/p-MO8olC
      
[I23] M. Hanusch, X. He, S. Janssen, J. Selke, W. Trutschnig, R.R. Junker: Uneven distribution of non-monotonicity reveals distinct association patterns between ecosystem constituents, Ecosystems 26, 1819-1840 (2023) doi: 10.1007/s10021-023-00867-9
      
[I22] Senker, H. Stefanits, S. Aspalter, W. Trutschnig, J. Franke, A. Gruber: Nonsteroidal anti-inflammatory drugs (NSAID) do not increase blood loss or the incidence of postoperative epidural hematomas when using minimally invasive fusion techniques in the degenerative lumbar spine, to appear in Frontier in Surgery 9:1000238 (2022)
      
[I21] F. Griessenberger, W. Trutschnig, R.R. Junker: qad: An R-package to detect asymmetric and directed dependence in bivariate samples, Methods in Ecology and Evolution 13, 2138-2149 (2022) doi: 10.1111/2041-210X.13951
      
[I20] M.J. Mair, M. Mitterer, P. Gattinger, J.M. Berger, W. Trutschnig, A.C. Bathke, M. Gansterer, A.S. Berghoff, S. Laengle, L. Gottmann, T. Buratti, H. Haslacher, W.W. Lamm, M. Raderer, S. Tobudic, T. Fuereder, R. Valenta, D. Fong, M. Preusser: Enhanced SARS-CoV-2 breakthrough infections in patients with hematologic and solid cancers due to Omicron, Cancer Cell 40, 444-446 (2022) doi: 10.1016/j.ccell.2022.04.003
      
[I19] M.J. Mair, J.M. Berger, M. Mitterer, M. Gansterer, A.C. Bathke, W. Trutschnig, A.S. Berghoff, T. Perkmann, H. Haslacher, W.W. Lamm, M. Raderer, S. Tobudic, T. Fuereder, T. Buratti, D. Fong, M. Preusser: Third dose of SARS-CoV-2 vaccination in hemato-oncological patients and health care workers: humoral immune responses and adverse events - a retrospective cohort study, The European Journal of Cancer 165, 184-194 (2022), doi: 10.1016/j.ejca.2022.01.019
      
[I18] E. Gfrerer, D. Laina, G. Danae, M. Gibernau, R. Fuchs, M. Happ, T. Tolasch, W. Trutschnig, A. Hõrger, H.P. Comes, S. Dõtterl: Floral scents of a deceptive plant are hyperdiverse and under population-specific phenotypic selection, Frontiers in Plant Science, section Functional Plant Ecology 12, 1910 (2021) doi: 10.3389/fpls.2021.719092
      
[I17] J.M. Berger, M. Gansterer, W. Trutschnig, A.C. Bathke, R. Strassl, W. Lamm, M. Raderer, M. Preusser, A.S. Berghoff: SARS-CoV-2 screening in cancer outpatients during the second wave of the COVID-19 pandemic: conclusions for crisis response at a high-volume oncology center, Wiener klinische Wochenschrift 19, 1-6 (2021), doi: 10.1007/s00508-021-01927-7
      
[I16] S. Aspalter, W. Senker, C. Radl, H. Stefanits, M. Aichholzer, K. Hiessbõck, C. Leitner, N. Stroh, W. Trutschnig, A. Gruber: Accidental dural tears in minimally invasive spinal surgery for degenerative lumbar spine disease, Frontiers in Surgery, section Neurosurgery 8, 226 (2021), doi: 10.3389/fsurg.2021.708243
      
[I15] J. von Schleinitz, M. Graf, W. Trutschnig, A. Schrõder: VASP: An autoencoder-based approach for multivariate anomaly detection and robust time series prediction with application in motorsport, Engineering Applications of Artificial Intelligence 104, 104354 (2021), doi: 10.1016/j.engappai.2021.104354
      
[I14] W. Senker, H. Stefanits, M. Gmeiner, W. Trutschnig, Ch. Radl: The Influence of Smoking in Minimally Invasive Spinal Fusion Surgery, Open Medicine 16(1), 198-206 (2021), doi: 10.1515/med-2021-0223
      
[I13] M. Wagner, A.C. Bathke, S.C. Cary, T.G.A. Green; R.R. Junker, W. Trutschnig, U. Ruprecht: Myco- and photobiont associations in crustose lichens in the McMurdo Dry Valleys (Antarctica) reveal high differentiation along an elevational gradient, Polar Biology 43, 1967-1983 (2020), doi: 10.1007/s00300-020-02754-8
      
[I12] A.S. Berghoff, M. Gansterer, A.C. Bathke, W. Trutschnig, P. Hungerländer, J. Berger, J. Kreminger, A. Starzer, R. Schmidt, W. Lamm, M. Raderer, A. Gottlieb, N. Mauser, M. Preusser: SARS-CoV-2 testing in 1016 consecutive cancer patients treated at a tertiary care hospital during the COVID-19 pandemic, Journal of Clinical Oncology 38(30), 3547-3554 (2020), doi: 10.1200/JCO.20.01442
      
[I11] R.R. Junker, M. Hanusch, X. He, V. Ruiz-Hernández, J.C. Otto, S. Kraushaar, K. Bauch, F. Griessenberger, L.M. Ohler, W. Trutschnig: Ödenwinkel: An Alpine platform for observational and experimental research on the emergence of multidiversity and ecosystem complexity, Web Ecology 20, 95-106 (2020), doi: 10.5194/we-20-95-2020
      
[I10] R. Schuster, M.L. Schreyer, T. Kaiser, T. Berger, J.P. Klein, S. Moritz, A.R. Laireiter, W. Trutschnig: Effects of intense assessment on statistical power in randomized controlled trials: Simulation study on depression, Internet Interventions 20, 100313 (2020), doi: 10.1016/j.invent.2020.100313
      
[I09] W. Senker, H. Stefanits, M. Gmeiner, W. Trutschnig, Ch. Radl, A. Gruber: The Influence of Age on the Peri- and Postoperative Clinical Course in Patients Undergoing Minimally Invasive Transforaminal Lumbar Interbody Fusion Techniques of the Lumbar Spine, Clinical Neurology and Neurosurgery 182, 25-31 (2019), doi: 10.1016/j.clineuro.2019.04.025
      
[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, Journal of Neurosurgical Sciences 2018 JUL 17 (2018), doi: 10.23736/S0390-5616.18.04467-3
      
[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, The International Journal of Biostatistics 2018;20170028 (2018), 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. Hoefers, 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. Saenger, 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: On bivariate Archimedean copulas with fractal support
      
[--] N.P. Dietrich, W. Trutschnig: On differentiability and mass distributions of topologically typical multivariate Archimedean copulas
      
[--] L. Maislinger, W. Trutschnig: On bivariate lower semilinear copulas and the star product
      
[--] J. Ansari, P.B. Langthaler, S. Fuchs, W. Trutschnig: Quantifying and estimating dependence via sensitivity of conditional distributions
      

Submitted for publication - Interdisciplinary

[--] V. Zieschank, W. Trutschnig, R.R. Junker: Response diversity increases functional but decreases compositional stability of grassland communities
      
[--] N. Haller, T. Stanin, T. Strepp, J. Blumkaitis, M. Düring, T. Mroz, W. Trutschnig, T.L. Stöggl: On the relationship between external and internal load variables in elite youth soccer players
      

Books, Edited Books, Book Chapters, Proceedings

[B12] J. Ansari, S. Fuchs, W. Trutschnig, M.A. Lubiano, M.A. Gil, P. Grzegorzewski, O. Hryniewicz (Eds): Combining, Modelling and Analyzing Imprecision, Randomness and Dependence, Series: Advances in Intelligent Systems and Computing, Volume 1458, pp. 208-216, (2024), Springer Nature Switzerland, doi:10.1007/978-3-031-65993-5
      
[B11] N. Dietrich, J. Fernández-Sánchez, W. Trutschnig: Convergence of Copulas Revisited: Different Notions of Convergence and Their Interrelations, in L.A. García-Escudero et al. (Eds.): Building Bridges between Soft and Statistical Methodologies for Data Science, Series: Advances in Soft Computing, Volume 1433, pp. 120--127 (2023), Springer Nature Switzerland, doi:10.1007/978-3-031-15509-3_16
      
[B10] Thimo M. Kasper, W. Trutschnig: A Markov Kernel Approach to Multivariate Archimedean Copulas, in L.A. García-Escudero et al. (Eds.): Building Bridges between Soft and Statistical Methodologies for Data Science, Series: Advances in Soft Computing, Volume 1433, pp. 224--230 (2023), Springer Nature Switzerland, doi:10.1007/978-3-031-15509-3_30
      
[B09] W. Trutschnig, F. Griessenberger: On Quantifying and Estimating Directed Dependence, in L.A. García-Escudero et al. (Eds.): Building Bridges between Soft and Statistical Methodologies for Data Science, Series: Advances in Soft Computing, Volume 1433, pp. 382-389 (2023), Springer Nature Switzerland, doi:10.1007/978-3-031-15509-3_50
      
[B08] F. Griessenberger, W. Trutschnig: Estimating Asymmetric Dependence via Empirical Checkerboard Copulas, in A. Pollice, N. Salvati, S. Spagnolo (Eds) Book of Short Papers SIS 2020, pp. 304--309 (2020), link to pdf
      
[B07] W. Trutschnig: Complete dependence everywhere?, in M. Ubeda 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
      
[B06] F. Durante, J. Fernández Sánchez, W. Trutschnig: Singular copulas, Oberwolfach Reports, 2015(20), 40-43 doi:10.4171/OWR/2015/20
      
[B05] 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
      
[B04] 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
      
[B03] 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
      
[B02] 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
      
[B01] 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