The Living Thing / Notebooks :

Algebraic probability

If you liked it then you shoulda put a ring on it

Semigroups over probability distributions, as seen in, for example,

Refs

Ress91
Ressel, P. (1991) Semigroups in Probability Theory. In H. Heyer (Ed.), Probability Measures on Groups X (pp. 337–363). Springer US DOI.
Ress11
Ressel, P. (2011) A revision of Kimberling’s results — With an application to max-infinite divisibility of some Archimedean copulas. Statistics & Probability Letters, 81(2), 207–211. DOI.
RuSz88
Ruzsa, I., & Székely, G. J.(1988) Algebraic probability theory. . John Wiley & Sons Inc