A Note on the Posterior Inference for the Yule-Simon Distribution
Methodology
2017-07-04 v2 Applications
Abstract
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.
Cite
@article{arxiv.1604.07304,
title = {A Note on the Posterior Inference for the Yule-Simon Distribution},
author = {Fabrizio Leisen and Luca Rossini and Cristiano Villa},
journal= {arXiv preprint arXiv:1604.07304},
year = {2017}
}
Comments
Forthcoming in the "Journal of Statistical Computation and Simulation" - 12 pages, 4 Figures, 3 Tables