A note on the posterior inference for the Yule–Simon distribution

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2017-04-13

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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.

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Yule-Simon distribution, data augmentation, count data regression, text analysis

Citation

Published Version (Please cite this version)

10.1080/00949655.2016.1255741

Publication Info

Leisen, F, L Rossini and C Villa (2017). A note on the posterior inference for the Yule–Simon distribution. Journal of Statistical Computation and Simulation, 87(6). pp. 1179–1188. 10.1080/00949655.2016.1255741 Retrieved from https://hdl.handle.net/10161/33563.

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Villa

Cristiano Villa

Associate Professor of Statistics at Duke Kunshan University

Prof. Cristiano Villa main research area is in Bayesian statistics, with particular interest in objective methods. His output has been published in several peer-reviewed journals and presented at international conferences, such as the ISBA International Conference, the O-Bayes conference, and the ERCIM conference. In addition to his research, Prof. Villa is deeply committed to teaching and enjoys interacting with students. His teaching interests include probability, statistics, linear modelling, and risk management. Before joining Duke Kunshan University (DKU), Prof. Villa was a member of the Newcastle University (UK) and the University of Kent (UK). Prior to joining academia in 2014, he worked as an auditor and as an advisor for KPMG in several countries, including, Italy, UK, New Zealand, and Singapore. He holds an M.Sc. and a Ph.D. from the University of Kent, UK.


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