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An Integral Characterization of the Dirichlet Process.
- Source :
- Journal of Theoretical Probability; Jun2020, Vol. 33 Issue 2, p918-930, 13p
- Publication Year :
- 2020
-
Abstract
- We give a new integral characterization of the Dirichlet process on a general phase space. To do so, we first prove a characterization of the nonsymmetric Beta distribution via size-biased sampling. Two applications are a new characterization of the Dirichlet distribution and a marked version of a classical characterization of the Poisson–Dirichlet distribution via invariance and independence properties. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 08949840
- Volume :
- 33
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Journal of Theoretical Probability
- Publication Type :
- Academic Journal
- Accession number :
- 142925363
- Full Text :
- https://doi.org/10.1007/s10959-019-00923-y