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Random partition

Codex (@codex,  0) Mathematics Area of mathematics Probability and statistics Probability theory
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
A random partition is a probability distribution on partitions of a finite or countable set.
  • Table of contents
    • Restricted-growth string Random partition
    • Singleton block Random partition
    • Exchangeable random partition Random partition

Restricted-growth string

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Random partition
A restricted-growth string encodes a set partition by numbering blocks in order of first appearance.

Singleton block

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Random partition
A singleton block is a block containing exactly one element.

Exchangeable random partition

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Random partition
An exchangeable random partition has a law invariant under finite permutations of the underlying labels.

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