Modelling Preference Data with the Wallenius Distribution

Grazian, Clara and Leisen, Fabrizio and Liseo, Brunero (2018) Modelling Preference Data with the Wallenius Distribution. Journal of the Royal Statistical Society: Series A (Statistics in Society), 182 (2). pp. 541-558. ISSN 0964-1998. (doi:https://doi.org/10.1111/rssa.12415) (Access to this publication is currently restricted. You may be able to access a copy if URLs are provided)

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Abstract

The Wallenius distribution is a generalisation of the Hypergeometric distribution where weights are assigned to balls of different colours. This naturally defines a model for ranking categories which can be used for classification purposes. Since, in general, the resulting likelihood is not analytically available, we adopt an approximate Bayesian computational (ABC) approach for estimating the importance of the categories. We illustrate the performance of the estimation procedure on simulated datasets. Finally, we use the new model for analysing two datasets concerning movies ratings and Italian academic statisticians' journal preferences. The latter is a novel dataset collected by the authors.

Item Type: Article
Uncontrolled keywords: Approximate Bayesian computation, Biased urn, Movies ratings, Scientific journals preferences
Subjects: H Social Sciences > HA Statistics
Q Science > QA Mathematics (inc Computing science) > QA276 Mathematical statistics
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science
Depositing User: Fabrizio Leisen
Date Deposited: 08 Sep 2018 14:33 UTC
Last Modified: 22 Mar 2019 15:41 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/69001 (The current URI for this page, for reference purposes)
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