Theses (Charles University)

For students interested in research into multivariate mathematical statistics and geometry at all study levels, we offer a range of possible research topics. A small sample of these is provided below - many other topics are available upon agreement. Students are welcome to contact us directly.

Pre študentov, ktorí majú záujem o výskum v mnohorozmernej matematickej štatistike a geometrii, ponúkame radu možných výskumných tém / tém záverečných prác. Ich malý výber nájdete dole - mnoho ďalších je dostupných po dohode. Záujemcom odporúčame, aby sa na nás neváhali obrátiť priamo.

Daniel Hlubinka

• Detection of shape outliers for functional data (master's thesis)
• Estimators of level-sets volumes (master's thesis)
• Directional depth (master's thesis)
• Asymptotics of depth (master's thesis)

Stanislav Nagy

• Zonoids of measures and their applications
  (2019-2020, bachelor's thesis: František Hendrych)
• Halfspace median
  (2018-2019, bachelor's thesis: Bc. Adam Říha)
• Boxplot for multivariate data
  (2018-2019, bachelor's thesis: Bc. Tomáš Brabenec)
• Geometric approach to the estimation of scatter
  (2018-2019, bachelor's thesis: Bc. Juraj Bodík)
• Regression depth and related methods
  (2018-2020, master's thesis: Bc. Denisa Dočekalová)
• Spherically symmetric measures (bachelor's thesis)
• Shape analysis of random functions (master's thesis)
• Depth of variance matrices (master's thesis)
• Symmetry of random vectors (master's thesis)