Algebraic probability

If you liked it then you prob’ly put a ring on it

Commonly used algebraic structures over probability, as seen in, for example,

Applebaum, David. 2009. Lévy Processes and Stochastic Calculus. 2nd ed. Cambridge Studies in Advanced Mathematics 116. Cambridge ; New York: Cambridge University Press.

Ressel, Paul. 1991. “Semigroups in Probability Theory.” In Probability Measures on Groups X, edited by Herbert Heyer, 337–63. Springer US. https://doi.org/10.1007/978-1-4899-2364-6_26.

———. 2011. “A Revision of Kimberling’s Results — with an Application to Max-Infinite Divisibility of Some Archimedean Copulas.” Statistics & Probability Letters 81 (2): 207–11. https://doi.org/10.1016/j.spl.2010.11.008.

Ruzsa, Imre, and Gábor J Székely. 1988. Algebraic Probability Theory. John Wiley & Sons Inc.