Maximum likelihood estimation of the mixture of log-concave densities

Hao Hu, Yichao Wu and Weixin Yao

Computational Statistics & Data Analysis, 2016, vol. 101, issue C, 137-147

Abstract: Finite mixture models are useful tools and can be estimated via the EM algorithm. A main drawback is the strong parametric assumption about the component densities. In this paper, a much more flexible mixture model is considered, which assumes each component density to be log-concave. Under fairly general conditions, the log-concave maximum likelihood estimator (LCMLE) exists and is consistent. Numeric examples are also made to demonstrate that the LCMLE improves the clustering results while comparing with the traditional MLE for parametric mixture models.

Keywords: Consistency; Log-concave maximum likelihood estimator (LCMLE); Mixture model (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:csdana:v:101:y:2016:i:c:p:137-147

DOI: 10.1016/j.csda.2016.03.002

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