THE MODES OF A MIXTURE OF TWO NORMAL DISTRIBUTIONS
Journal Title: Silesian Journal of Pure and Applied Mathematics - Year 2016, Vol 6, Issue 1
Abstract
Mixture distributions arise naturally where a statistical population contains two or more subpopulations. Finite mixture distributions refer to composite distributions constructed by mixing a number K of component distributions. The first account of mixture data being analyzed was documented by Pearson in 1894. We consider the distribution of a mixture of two normal distributions and investigate the conditions for which the distribution is bimodal. This paper presents a procedure for answering the question of whether a mixture of two normal distributions which five known parameters μ1, μ2, 1, 2, p is unimodal or not. For finding the modes, a simple iterative procedure is given. This article presents the possibility of estimation of modes using biaverage.
Authors and Affiliations
Grzegorz Sitek
Keywords
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