| Abstract: | In this paper, we consider the likelihood ratio test for a single model against the mixture of two known densities. We research the accuracy of the limiting null distribution obtained by Titterington 1-2 Titterington, D. M. 1981. Contribution to the discussion of paper by M. Aitkin, D. Amderson and J. Hinde, J. R.. Statist. Soc. A, 144: 459 Titterington, D. M., Smith, A. F.M. and Makov, U. E. 1985. Statistical Analysis of Finite Mixture Distribution New York: Wiley. .After that, we improve the limiting null distribution and confirm its usefulness by the simulation study. |
