Random discrete distributions invariant under size-biased permutation
| Author(s) : | Jim Pitman, |
| Publisher : | N/A |
| Publication Date : | 1996 |
| ISSN : | N/A |
| Abstract : | Invariance of a random discrete distribution under size-biased permutation is equivalent to a conjunction of symmetry conditions on its finite-dimensional distributions. This is applied to characterize residual allocation models with independent factors that are invariant under size-biased permutation. Apart from some exceptional cases and minor modifications, such models form a two-parameter family of generalized Dirichlet distributions., |