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We introduce a statistical hypothesis test for detecting mixtures in a nonlinear regression model with mean regression function defined by a weighted sum of two multidimensional unimodal functions, where each unimodal function in the summation representing a component. Two regression components are mixed when the distance between their centres is small or the proportion of their contribution to the...
Testing homogeneity is a fundamental problem in finite mixture models. It has been investigated by many researchers and most of the existing works have focused on the univariate case. In this article, the authors extend the use of the EM‐test for testing homogeneity to multivariate mixture models. They show that the EM‐test statistic asymptotically has the same distribution as a certain transformation...
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