Resumen de Classification of probability density functions in the framework of Bayes spaces: methods and applications

Ivana Pavlů, Alessandra Menafoglio, E.G. Bongiorno, Karel Hron

• The process of supervised classifcation when the data set consists of probability density functions is studied. Due to the relative information contained in densities, it is ne- cessary to convert the functional data analysis methods into an appropriate framework, here represented by the Bayes spaces. This work develops Bayes space counterparts to a set of commonly used functional methods with a focus on classifcation. Hereby, a clear guideline is provided on how some classifcation approaches can be adapted for the case of densities. Comparison of the methods is based on simulation studies and real-world applications, refecting their respective strengths and weaknesses