Partition-valued random variates
2022-03-31 — 2022-03-31
Wherein random divisions of objects into unlabeled subsets are exhibited, and their interpretation as duals to categorical assignments and as exchangeable constructs used in Bayesian nonparametric models is noted.
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Random choices of sets into which to divide objects. A kind of dual 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.