A Bayesian approach to species-sampling problems with ordering
A Bayesian Nonparametric Approach to Species Sampling Problems with Ordering
Species-sampling problems (ssps) refer to a vast class of statistical problems that, given an observable sample from an unknown population of individuals belonging to some species, call for estimating (discrete) functionals of the unknown species composition of additional unobservable samples.A common feature of ssps is the invariance with respect to specieslabelling, i.e.Species'labels are immaterial in defining the functional of interest, which is at the core of the development of the bayesian nonparametric (bnp) approach to ssps under the popular pitman-yor process (pyp)prior.In this paper, we consider ssps that are not invariant to species labelling, in the sense that an ordering or ranking is assigned to species'labels, and we develop a bnp approach to such problems.
