Partition-valued random variates

April 1, 2022 — April 1, 2022

algebra
graphical models
machine learning
networks
PDEs
physics
point processes
probability
spatial
statistics
stochastic processes
uncertainty
Figure 1

Random choices of sets into which to divide objects. A kind of dual to to assigning objects to random categories. A placeholder, clearly.

1 References

James. 2005. Bayesian Poisson Process Partition Calculus with an Application to Bayesian Lévy Moving Averages.” Annals of Statistics.
Kingman. 1978. “The Representation of Partition Structures.” Journal of the London Mathematical Society.
Pitman. 1995. Exchangeable and Partially Exchangeable Random Partitions.” Probability Theory and Related Fields.