We investigate the asymptotic clustering structure of species sampling sequences (ξn)n, for which the base measure has atomic components. We prove a stochastic representation for (ξn)n in terms of a latent exchangeable random partition. Then, we study the asymptotic behaviour of the total number of blocks and of the number of blocks with fixed cardinality in the partition generated by (ξn)n.
Asymptotic number of clusters for species sampling sequences with non-diffuse base measure
Bassetti F.;Ladelli L.
2020-01-01
Abstract
We investigate the asymptotic clustering structure of species sampling sequences (ξn)n, for which the base measure has atomic components. We prove a stochastic representation for (ξn)n in terms of a latent exchangeable random partition. Then, we study the asymptotic behaviour of the total number of blocks and of the number of blocks with fixed cardinality in the partition generated by (ξn)n.File in questo prodotto:
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