Projects

Viktor Witkovský

Project selection:

International projects

Precision Neuromodulation for Chronic Pain: Integrating Functional MRI and Focused Ultrasound for Personalised Treatment
Presná neuromodulácia chronickej bolesti: Integrácia funkčnej magnetickej rezonancie a fokusovaného ultrazvuku pre personalizovanú liečbu, skratka „NeuroPain“
Program: ERANET
Duration: 1.1.2026 – 31.8.2028
Project leader: Doc. RNDr. Witkovský Viktor, CSc.

National projects

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Testy dobrej zhody založené na charakteristickej funkcii pre neurčité údaje s aplikáciou na analýzu klimatických dát
Program: SRDA
Duration: 1.1.2026 – 31.8.2028
Project leader: Doc. RNDr. Witkovský Viktor, CSc.
Theoretical properties and applications of special families of probability distributions
Teoretické vlastnosti a aplikácie špeciálnych tried rozdelení pravdepodobnosti
Program: VEGA
Duration: 1.1.2024 – 31.12.2027
Project leader: Doc. RNDr. Witkovský Viktor, CSc.
Annotation: In the project, problems related to probability distributions and their applications in mathematical modeling will be studied. We will analyze some classes of distributions (distributions generated by partial summations, the Schröter family) and study properties of distributions belonging to these classes. Issues related to calibration regression models will be addressed. New methods for solving multivariate statistical problems will be developed. These methods will be based on the calculation of exact probability distributions using the inverse transformation of the characteristic function of the distribution of the output variable. Entropy, another property of probability distributions, plays an important role in detecting causality in time series. The primary area of application is theuse of the distribution of test statistics in hypothesis testing. The new results obtained during the solution of the project will also be applied to mathematical modeling in metrology, linguistics and actuarial mathematics.