A likelihood ratio test for bimodality in two-component mixtures with application to regional income distribution in the EU

@article{Holzmann2008ALR,
  title={A likelihood ratio test for bimodality in two-component mixtures with application to regional income distribution in the EU},
  author={Hajo Holzmann and Sebastian Vollmer},
  journal={AStA Advances in Statistical Analysis},
  year={2008},
  volume={92},
  pages={57-69}
}
We propose a parametric test for bimodality based on the likelihood principle by using two-component mixtures. The test uses explicit characterizations of the modal structure of such mixtures in terms of their parameters. Examples include the univariate and multivariate normal distributions and the von Mises distribution. We present the asymptotic distribution of the proposed test and analyze its finite sample performance in a simulation study. To illustrate our method, we use mixtures to… Expand

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