The combinatorial structure of beta negative binomial processes

@article{Heaukulani2016TheCS,
  title={The combinatorial structure of beta negative binomial processes},
  author={Creighton Heaukulani and Daniel M. Roy},
  journal={Bernoulli},
  year={2016},
  volume={22},
  pages={2301-2324}
}
We characterize the combinatorial structure of conditionally-i.i.d. sequences of negative binomial processes with a common beta process base measure. In Bayesian nonparametric applications, such processes have served as models for latent multisets of features underlying data. Analogously, random subsets arise from conditionally-i.i.d. sequences of Bernoulli processes with a common beta process base measure, in which case the combinatorial structure is described by the Indian buffet process. Our… Expand
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