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Campbell, Trevor; Cai, Diana; Broderick, Tamara

Exchangeable trait allocations. (English) Zbl 1411.62068

Electron. J. Stat. 12, No. 2, 2290-2322 (2018).
The contributions in this paper are as follows: a de Finetti representation theorem for (both regular and irregular) exchangeable trait allocations, a correspondence theorem between random trait allocations with a frequency model and those with an exchangeable partition probability function, and the introduction and study of the constrained exchangeable partition probability function for capturing random trait allocations with constrained index memberships.
Reviewer: Denis Sidorov (Irkutsk)

Cited in 6 Documents

MSC:

62F15 Bayesian inference
62F05 Asymptotic properties of parametric tests
60K35 Interacting random processes; statistical mechanics type models; percolation theory

Keywords:

trait allocation; exchangeability; paintbox; probability function; partition; feature allocation; graph; vertex allocation; edge exchangeability

Software:

plfit
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\textit{T. Campbell} et al., Electron. J. Stat. 12, No. 2, 2290--2322 (2018; Zbl 1411.62068)
Full Text: DOI arXiv Euclid

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