Asymptotic behaviour of the posterior distribution in overfitted mixture models

Asymptotic behaviour of the posterior distribution in overfitted mixture models

The Negative Binomial Distribution Efficiency in Finite Mixture of Semi-parametric Generalized Linear Models

Introduction Selection the appropriate statistical model for the response variable is one of the most important problem in the finite mixture of generalized linear models. One of the distributions which it has a problem in a finite mixture of semi-parametric generalized statistical models, is the Poisson distribution. In this paper, to overcome over dispersion and computational burden, finite ...

Convergence of Posterior Distribution in the Mixture of Regressions

Mixture models provide a method of modeling a complex probability distribution in terms of simpler structures. In particular, the method of mixture of regressions has received considerable attention due to its modeling flexibility and availability of convenient computational algorithms. While the theoretical justification has been successfully worked out from the frequentist point of view, its ...

Asymptotic properties of mixture-of-experts models

Abstract. The statistical properties of the likelihood ratio test statistic (LRTS) for mixture-of-expert models are addressed in this paper. This question is essential when estimating the number of experts in the model. Our purpose is to extend the existing results for mixtures (Liu and Shao, 2003) and mixtures of multilayer perceptrons (Olteanu and Rynkiewicz, 2008). In this paper we study a s...

Asymptotic behaviour of graded components of local cohomology modules

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