More Information

Doc. RNDr. Viktor Witkovský, CSc.

Research Focus:

  • Research of exact and approximate mathematical and statistical methods for small sample sizes.
  • Theoretical and computational aspects of statistical inference.
  • Statistical inference for linear and non-linear mixed effects models.
  • Methods and algorithms for computing and combining the probability distributions for statistical applications.
  • Models and methods for measurement and metrology: determination of uncertainties in measurement, interlaboratory comparisons, calibratioj.
  • Data analysis and applications of statistical methods.

Education:

  • 1981-1986, Faculty of Mathematics and Physics, Comenius University, Bratislava, Slovakia, field of study “Probability and mathematical statistics”,
  • 1986, awarded title RNDr. (Rerum Naturalis Doctor), Faculty of Mathematics and Physics Comenius University, Bratislava, Slovakia,
  • 1989-1992, PhD study,Institute of Measurement and Measuring Technique, Slovak Academy of Sciences, Bratislava
  • 1993, awarded title CSc. (Candidate of Sciences – equivalent to PhD) field of study “Probability and mathematical statistics”, Mathematical Institute, Slovak Academy of Sciences, Bratislava, Slovakia
  • 1997, awarded scientific degree IIa – independent scientific worker
  • 2005, habilitation – Docent of Mathematics, Faculty of Mathematics, Physics and Informatics, Comenius University, Bratislava, Slovakia

Functions:

  • 2019: Director, Institute of Measurement Science, Slovak Academy of Sciences, Bratislava, Slovakia (IMS SAS)
  • 2006 – 2018: Vice-Director, IMS SAS, (2006-2010, 2010-2014, 2014-2018)
  • 2005 – 2018: Chair of the Scientific Board, IMS SAS, (2005-2009, 2009-2013, 2013-2018)
  • 1998 – 2018: Head of the Department of Theoretical Methods, IMS SAS
  • 1998-2006: Scientific Secretary, IMS SAS

PhD Students:

  1. Mgr. Michal Teplan, PhD (2006). PhD Thesis: Audio-visual stimulation and relaxation, linear and nonlinear EEG measures. Advisor: RNDr. Anna Krakovská, CSc. Field of study: 39-52-9 Bionics and Biomechanics, Institute of Measurement Science, Slovak Academy of Sciences, Bratislava, June 21, 2006.
  2. Mgr. Barbora Arendacká, PhD (2009). PhD Thesis: Interval estimators for a variance component in mixed linear models with two variance components. Field of study: 11-06-9 Probability and Mathematical Statistics, Institute of Measurement Science, Slovak Academy of Sciences, Bratislava, June 16, 2009.
  3. Mgr. Kristína Mezeiová, PhD (2009).PhD Thesis: Nonlinear and spectral characteristics of sleep electroencephalogram. Advisor: RNDr. Anna Krakovská, CSc. Field of study: 39-52-9 Bionics and Biomechanics, Institute of Measurement Science, Slovak Academy of Sciences, Bratislava, November 26, 2009.
  4. Mgr. Gejza Wimmer, PhD (2010). PhD Thesis: Models, methods and algorithms for longitudinal data analysis. Field of study: 9-1-9 Applied Mathematics, Mathematical Institute, Slovak Academy of Sciences, August 27, 2010.
  5. Ing. Katarína Bartošová, PhD (2010). Téma dizertačnej práce: Statistical methods and algorithms for research on molecular diagnosis of pulmonary diseases. Field of study: 39-52-9 Bionics and Biomechanics, Institute of Measurement Science, Slovak Academy of Sciences, Bratislava, September 21, 2010.
  6. Mgr. Martina Chvosteková, PhD (2011). PhD Thesis: Simultaneous two-sided tolerance intervals in the linear regression model. Field of study: 5.2.54 Measurement Technique, Institute of Measurement Science, Slovak Academy of Sciences, Bratislava, November 25, 2011.
  7. Mgr. Ivana Pobočíková, PhD (2012). PhD Thesis: Selected methods and algorithms for statistical analysis of clinical trials. Field of study: 9.1.9. Applied Mathematics, Faculty of Humanitarian Sciences, University of Žilina, April 12, 2012.
  8. RNDr. Ján Klacso, PhD (2013). PhD Thesis: Mathematical Analysis of the Transmission Mechanism of Monetary Policy of the National Bank of Slovakia. Advisor: RNDr. František Hajnovič. Field of study: 9.1.9. Applied Mathematics, Faculty of Mathematics, Physics and Informatics, Comenius University, Bratislava, August 26, 2013.
  9. Mgr. Jozef Jakubík, PhD (2018). PhD Thesis: Methods of statistical inference for analysis of high dimensional data using linear mixed models. Field of study: 5.2.54 Measurement Technique, Institute of Measurement Science, Slovak Academy of Sciences, Bratislava, August 28, 2018.

Selected Publications:

  1. WITKOVSKÝ V. Computing the distribution of a linear combination of inverted gamma variables. Kybernetika. 2001, 37(1), 79-90.
  2. WITKOVSKÝ V. On the exact computation of the density and of the quantiles of linear combinations of t and F random variables. Journal of Statistical Planning and Inference. 2001, 94(1), 1-13.
  3. WITKOVSKÝ V. Exact distribution of positive linear combinations of inverted chi-square random variables with odd degrees of freedom. Statistics & Probability Letters. 2002, 56(1), 45-50.
  4. WITKOVSKÝ V. Estimation, Testing, and Prediction Regions of the Fixed and Random Effects by Solving the Henderson’s Mixed Model Equations Invited paper. Measurement Science Review. 2012, 12(6), 234-48.
  5. WITKOVSKÝ, V. – WIMMER, G. – DUBY, T. Logarithmic Lambert W × F random variables for the family of chi-squared distributions and their applications. In Statistics & Probability Letters, 2015, 96, 223-231.
  6. WITKOVSKÝ, V. – WIMMER, G. – ĎURIŠ, S. On statistical methods for common mean and reference confidence intervals in interlaboratory comparisons for temperature. In International Journal of Thermophysics, 2015, 36(8), 2150-2171.
  7. KÖNING, R. – WIMMER, Gejza – WITKOVSKÝ, V. Ellipse fitting by nonlinear constraints to demodulate quadrature homodyne interferometer signals and to determine the statistical uncertainty of the interferometric phase. In Measurement Science and Technology, 2014, 25(11), p. 115001.
  8. KUSHCH, I. – ARENDACKÁ, Barbora – ŠTOLC, Svorad – MOCHALSKI, P. – FILIPIAK, W. – SCHWARZ, K. – SCHWENTNER, L. – SCHMID, A. – DZIEN, A. – LECHLEITNER, M. – WITKOVSKÝ, V. – MIEKISCH, W. – SCHUBERT, J. – UNTERKOFLER, K. – AMANN, A. Breath isoprene – aspects of normal physiology related to age, gender and cholesterol profile as determined in a proton transfer reaction mass spectrometry study. In Clinical Chemistry and Laboratory Medicine, 2008, 46(7), 1011-1018.
  9. SCHULZ, E. – TIEMANN, L. – WITKOVSKÝ, V. – SCHMIDT, P. – PLONER, M. Gamma oscillations are involved in the sensorimotor transformation of pain. In Journal of Neurophysiology, 2012, 108, 1025-1031.
  10. SCHULZ, E. – MAY, E.S. – POSTORINO, M. – TIEMANN, L. – NICKEL, M.M. – WITKOVSKÝ, V. – SCHMIDT, P. – GROSS, J. – PLONER, M. Prefrontal gamma oscillations encode tonic pain in humans. In Cerebral Cortex, 2015, 25(11), 4407-4414.