Wolfgang Trutschnig's homepage

Univ.-Prof. Dr. Wolfgang Trutschnig curriculum vitae (status 2025-03)

  Professor for Stochastics & Director IDA Lab Salzburg
  Department for Artificial Intelligence & Human Interfaces (AIHI)
  University of Salzburg
  Hellbrunner Strasse 34
  A-5020 Salzburg
  Austria
  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 publication:

[01] J. Ansari, P.B. Langthaler, S. Fuchs, W. Trutschnig: Quantifying and estimating dependence via sensitivity of conditional distributions, to appear in Bernoulli (2025) preprint (pdf)

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)

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)