Thursday 24 May 2018: Statistical Science seminar- Fabrizio Leisen "Modelling Preference Data with the Wallenius Distribution"
Fabrizio Leisen -
Laver building LT6 (6th Floor) 14:30-15:30
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.