Cruz-Medina, I. R.; Hettmansperger, T. P. Nonparametric estimation in semi-parametric univariate mixture models. (English) Zbl 1060.62041 J. Stat. Comput. Simulation 74, No. 7, 513-524 (2004). Summary: We introduce new estimates of the mixing proportions, locations, and variances of the components of a finite univariate mixture model. We assume that the components are symmetric and differ only in the locations. No parametric model assumptions are imposed on the components. Further, when there is additional information available in the form of training samples that contain information concerning the mixing proportion, the new methods are robust to the symmetry assumption. Cited in 9 Documents MSC: 62G05 Nonparametric estimation Keywords:tetranomial approach; sextinomial approach; simulations; EM algorithm; Finite mixture models; Training samples PDF BibTeX XML Cite \textit{I. R. Cruz-Medina} and \textit{T. P. Hettmansperger}, J. Stat. Comput. Simulation 74, No. 7, 513--524 (2004; Zbl 1060.62041) Full Text: DOI OpenURL