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Ferguson Distributions Via Polya Urn Schemes
Open accessAbstract
The Polya urn scheme is extended by allowing a continuum of colors. For the extended scheme, the distribution of colors after $n$ draws is shown to converge as $n \rightarrow \infty$ to a limiting discrete distribution $\mu^\ast$. The distribution of $\mu^\ast$ is shown to be one introduced by Ferguson and, given $\mu^\ast$, the colors drawn from the urn are shown to be independent with distribution $\mu^\ast$.
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Metadata
- Authors
- Blackwell, D., & MacQueen, J. B.
- Venue
- The Annals of Statistics
- Publisher
- Institute of Mathematical Statistics
- Published
- 1973-03-01
- Volume
- 1
- Issue
- 2
- ISSN
- 0090-5364 (ISSN-L)
- OpenAlex
- W2089484716
- Cited by
- 1,329
- References
- 0
- FWCI
- 2.01
- Type
- journal article
- Language
- en
- Open access
- bronze
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