JSM 2004 - Toronto

Abstract #300587

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Activity Number: 330
Type: Topic Contributed
Date/Time: Wednesday, August 11, 2004 : 10:30 AM to 12:20 PM
Sponsor: SSC
Abstract - #300587
Title: Mixture of Zero-inflated Densities
Author(s): Jean-Francois Angers*+ and Atanu Biswas
Companies: Universite de Montreal and Indian Statistical Institute, Kolkata
Address: Dept. de mathematiques et de statistique, Montreal, PQ, H3C 3J7, Canada
Keywords: zero-inflated model ; mixture of densities ; zero-inflated Poisson ; EM algorithm ; Bayesian analysis
Abstract:

In several real-life examples one encounters count data where the number of zeros is such that the usual Poisson distribution does not fit the data. Quite often the number of zeros is large, and hence the data is zero-inflated. Furthermore, the histogram is often multimodal indicating that the data come from different sub-populations. In such a situation, a mixture of some discrete probability density functions including some zero-inflated Poisson model(s) can be considered and a Bayesian analysis can be carried out. Using the EM algorithm, Bayesian estimates for the different parameters and also the predictive density are obtained. The techniques are illustrated using a real-life dataset.

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