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Patterns and dynamics of population heterogeneity in mixtures models
Authors:Yigal Gerchak  Peter Kubat
Affiliation:1. Department of Management Sciences, University of Waterloo, N2L3G1, Waterloo, Ontario, Canada
2. GTE Laboratories INC, 02254, Waltham, MA, USA
Abstract:Mixtures of distributions are a common modelling tool for durations of social phenomena, especially when the population is believed to be heterogeneous. We discuss heterogeneity patterns which can be captured by various mixing distributions in continuous and discrete time. Particular attention is given to recidivism data which Kaplan modeled by beta-mixtures of geometric distributions. We also investigate the dynamics of heterogeneity, measured via the variance of the mixing distribution, over the duration. It is shown that not all mixture models display decreasing heterogeneity over time.
Keywords:
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