Journal article
Diffusions on a space of interval partitions: the two-parameter model
- Abstract:
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We introduce and study interval partition diffusions with Poisson–Dirichlet ( α , θ ) stationary distribution for parameters α ∈ ( 0 , 1 ) and θ ≥ 0 . This extends previous work on the cases ( α , 0 ) and ( α , α ) and builds on our recent work on measure-valued diffusions. Our methods for dealing with general θ ≥ 0 allow us to strengthen previous work on the special cases to include initial interval partitions with dust. In contrast to the measure-valued setting, we can show that t...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Version of record, pdf, 1.9MB, Terms of use)
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- Publisher copy:
- 10.1214/23-EJP946
Authors
Bibliographic Details
- Publisher:
- Bernoulli Society for Mathematical Statistics and Probability
- Journal:
- Electronic Journal of Probability More from this journal
- Volume:
- 28
- Pages:
- 1-46
- Publication date:
- 2023-05-02
- Acceptance date:
- 2023-04-04
- DOI:
- EISSN:
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1083-6489
Item Description
- Language:
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English
- Keywords:
- Pubs id:
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1148800
- Local pid:
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pubs:1148800
- Deposit date:
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2023-04-13
Terms of use
- Copyright holder:
- Forman et al
- Copyright date:
- 2023
- Rights statement:
- © 2023, The Author(s). This is an open access article under the CC BY license.
- Licence:
- CC Attribution (CC BY)
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