This is a study of the behavior under partition of the sample space of three multivariate distributions: multinomial, multinomial-Dirichlet, and Dirichlet. A general theorem is given, of which all three are special cases.
"Partitioning some multivariate distributions." Braz. J. Probab. Stat. 35 (3) 625 - 629, August 2021. https://doi.org/10.1214/21-BJPS501