A likelihood ratio test for bimodality in two-component mixtures with application to regional income distribution in the EU
2008 | journal article. A publication with affiliation to the University of Göttingen.
Jump to: Cite & Linked | Documents & Media | Details | Version history
Cite this publication
A likelihood ratio test for bimodality in two-component mixtures with application to regional income distribution in the EU
Holzmann, H. & Vollmer, S. (2008)
AStA Advances in Statistical Analysis, 92(1) pp. 57-69. DOI: https://doi.org/10.1007/s10182-008-0057-2
Documents & Media
Details
- Authors
- Holzmann, Hajo; Vollmer, Sebastian
- Abstract
- 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 investigate the modal structure of the cross-sectional distribution of per capita log GDP across EU regions from 1977 to 1993. Although these mixtures clearly have two components over the whole time period, the resulting distributions evolve from bimodality toward unimodality at the end of the 1970s.
- Issue Date
- 2008
- Status
- published
- Publisher
- Springer
- Journal
- AStA Advances in Statistical Analysis
- Organization
- Wirtschaftswissenschaftliche Fakultät
- ISSN
- 1863-8171