Modelling Preference Data with the Wallenius Distribution

Speaker Name: 
Fabrizio Leisen
Speaker Title: 
Reader in Statistics
Speaker Organization: 
University of Kent
Start Time: 
Monday, March 12, 2018 - 4:00pm
End Time: 
Monday, March 12, 2018 - 5:00pm
Juhee Lee

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.