Nonparametric mixture models have become increasingly popular over the last 20 years. One of the reasons for this is that they provide practitioners, such as biometricians, epidemiologists or ecologists, with a natural framework for dealing with unobserved heterogeneity (eg heterogeneity that cannot be found in the form of covariate information).
Whereas conventional random effect models assume a normal distribution for the random effect, nonparametric mixture models provide a distribution-free alternative to the normal random effects model. Since the nonparametric estimator of the random effect is always discrete nonparametric mixture models provide also a basis for likelihood-based clustering. Recent applications involve the small area clustering of life expectancy growth in North-Rhine Westphalia. Current research focuses on a semiparametric alternative for mixing distribution with applications to meta-analysis.