Algebraic models for compositional data

Marigliano Orlando , University of Genoa
Riccomagno Eva, University of Genoa

Compositional data arise whenever we record the relative quantities of the parts that form a whole. For instance, the proportions of the different cell types in a sample of organic tissue would constitute compositional data. In this talk, I present examples of probability distributions for compositional data and describe algebraic statistical models for these distributions. I also discuss the maximum likelihood degree of these models. Joint work with Eva Riccomagno.

Area: CS1 - Algebraic methods in Statistics and Probability (Elvira Di Nardo)

Keywords: compositional data, algebraic statistics, maximum likelihood degree

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