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math.ST2020
Bivariate Densities in Bayes Spaces: Orthogonal Decomposition and Spline Representation
Karel Hron, Jitka Machalová, Alessandra Menafoglio
A new orthogonal decomposition for bivariate probability densities embedded in Bayes Hilbert spaces is derived. It allows one to represent a density into independent and interactiv…
math.ST2019
Changing reference measure in Bayes spaces with applications to functional data analysis
R. Talska, A. Menafoglio, K. Hron +2
Probability density functions (PDFs) can be understood as continuous compositions by the theory of Bayes spaces. The origin of a Bayes space is determined by a given reference meas…