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A note on the posterior inference for the Yule-Simon distribution.

Lookup NU author(s): Dr Cristiano VillaORCiD


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The Yule–Simon distribution has been out of the radar of the Bayesian community, so far. In this note, we propose an explicit Gibbs sampling scheme when a Gamma prior is chosen for the shape parameter. The performance of the algorithm is illustrated with simulation studies, including count data regression, and a real data application to text analysis. We compare our proposal to the frequentist counterparts showing better performance of our algorithm when a small sample size is considered.

Publication metadata

Author(s): Leisen F, Villa C, Rossini L

Publication type: Article

Publication status: Published

Journal: Journal of Statistical Computation and Simulation

Year: 2017

Volume: 87

Issue: 6

Pages: 1179-1188

Online publication date: 13/11/2016

Acceptance date: 28/10/2016

ISSN (print): 0094-9655

ISSN (electronic): 1563-5163

Publisher: Taylor & Francis


DOI: 10.1080/00949655.2016.1255741


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