Abstract
We prove that two-dimensional Dirichlet distributions for any collection of positive parameters can be modeled by means of a sequence of distributions defined via non-negative valued multiplicative functions which satisfy some regularity conditions on prime powers.
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Bareikis, G., Mačiulis, A. Bivariate Beta distribution and multiplicative functions. European Journal of Mathematics 7, 1668–1688 (2021). https://doi.org/10.1007/s40879-021-00492-7
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DOI: https://doi.org/10.1007/s40879-021-00492-7