Wolfgang Trutschnig's homepage

  Prof. Dr. Wolfgang Trutschnig    curriculum vitae (status 2024-04)    

  Professor for Stochastics & Director IDA Lab Salzburg
  Department for Artificial Intelligence & Human Interfaces (AIHI)
  University of Salzburg
  Hellbrunner Strasse 34
  A-5020 Salzburg
  Tel: +43 662 8044 5326
  Email: wolfgang@trutschnig.net
  Profiles: Google scholar  Scopus Author ID: 25652347200  ORCID: 0000-0002-7131-1944   zbMATH entry            

  Co-Managing Director correlate analytics gmbh

What has the average distance/dissimilarity of two randomly drawn conditional distributions to do with directed dependence - new preprint:

[01] J. Ansari, P.B. Langthaler, S. Fuchs, W. Trutschnig: Quantifying and estimating dependence via sensitivity of conditional distributions, arXiv preprint   

New textbook - excursion to ergodic theory:

[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   

Calculating and estimating the extent of multivariate (directed) dependence - new article:

[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)

Why the so-called simplifying assumption is not as flexible as frequently praised - new article:

[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)

Oberseminar Analysis, Mathematische Physik & Dynamische Systeme  
June 29, 2021, via zoom (slides)

10th International Workshop on Simulation and Statistics  
September 02-06, 2019, Salzburg, Austria (slides)

Symposium: Ecology - Geomorphology - Statistics  
March 28-29, 2018, Salzburg, Austria (slides for general audience)

11th International Conference of the ERCIM WG on Computational and Methodological Statistics (CMStatistics 2018)  
December 14-16, 2018, Pisa, Italy

International Statistics Festival Ulm  
September 17-18, 2018, Ulm, Germany (slides)

Research Interests

Probability Theory & Mathematical Statistics, Fractals, Analysis  

Copulas and Dependence Models
Multivariate and Nonparametric Statistics
Dynamical Systems (in discrete time) and their interplay with number theory
Fractals, Singular Functions and Iterated Function Systems
Markov Operators and Kernels
Lineability, spaceability, algebrability, latticeability

Applied Statistics & Data Science

Probabilistic fundamentals of Machine Learning
Forecasting and Regression Techniques
Feature Selection
Dependence Modeling of processes
Automatic Reporting with R and Miktex (knitR, Sweave)
Interactive Dashboards with shiny


   pic as pdf



   pic as png    
   pic as pdf (joint work with Manuela Schreyer)
   slides Fraktale und Zufall
   (Tag der Mathematik, PH-Salzburg)