3 papers
stat.ME2026
Dimension reduction of multivariate densities in Bayes spaces
Adéla Czolková, Karel Hron, Sonja Greven
The Bayes space provides a Hilbert space structure for analysing probability density functions (PDFs), equipping them with a geometry that reflects their relative and constrained n…
stat.ME2024
Approximation of bivariate densities with compositional splines
Stanislav Å korÅa, Jitka Machalová, Jana Burkotová +2
Reliable estimation and approximation of probability density functions is fundamental for their further processing. However, their specific properties, i.e. scale invariance and re…
stat.ME2024
Efficient spline orthogonal basis for representation of density functions
Jana Burkotová, Ivana Pavlů, Hiba Nassar +2
Probability density functions form a specific class of functional data objects with intrinsic properties of scale invariance and relative scale characterized by the unit integral c…