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Modelling Preference Data with the Wallenius Distribution

Grazian, Clara, Leisen, Fabrizio, 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:10.1111/rssa.12415) (KAR id:69001)


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
DOI/Identification number: 10.1111/rssa.12415
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: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User: Fabrizio Leisen
Date Deposited: 08 Sep 2018 14:33 UTC
Last Modified: 04 Mar 2024 19:49 UTC
Resource URI: (The current URI for this page, for reference purposes)

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