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Asymptotic number of clusters for species sampling sequences with non-diffuse base measure

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  • Bassetti, Federico
  • Ladelli, Lucia

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.

Suggested Citation

  • Bassetti, Federico & Ladelli, Lucia, 2020. "Asymptotic number of clusters for species sampling sequences with non-diffuse base measure," Statistics & Probability Letters, Elsevier, vol. 162(C).
    • Handle: RePEc:eee:stapro:v:162:y:2020:i:c:s0167715220300523
    DOI: 10.1016/j.spl.2020.108749
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    References listed on IDEAS

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    1. A. Canale & A. Lijoi & B. Nipoti & I. Prünster, 2017. "On the Pitman–Yor process with spike and slab base measure," Biometrika, Biometrika Trust, vol. 104(3), pages 681-697.
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    Cited by:

    1. Canale, Antonio & Lijoi, Antonio & Nipoti, Bernardo & Prünster, Igor, 2023. "Inner spike and slab Bayesian nonparametric models," Econometrics and Statistics, Elsevier, vol. 27(C), pages 120-135.
    2. Ali Amiryousefi & Ville Kinnula & Jing Tang, 2022. "Bayes in Wonderland! Predictive Supervised Classification Inference Hits Unpredictability," Mathematics, MDPI, vol. 10(5), pages 1-11, March.
    3. Federico Bassetti & Lucia Ladelli, 2021. "Mixture of Species Sampling Models," Mathematics, MDPI, vol. 9(23), pages 1-27, December.

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