@article {chen2001modified, title = {A modified likelihood ratio test for homogeneity in finite mixture models}, journal = {Journal of the Royal Statistical Society: Series B (Statistical Methodology)}, volume = {63}, number = {1}, year = {2001}, pages = {19{\textendash}29}, publisher = {Wiley Online Library}, author = {Chen, Hanfeng and Chen, Jiahua and Kalbfleisch, John D} }