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Modified likelihood ratio test for homogeneity in normal mixtures with two samples
Authors:Yong-song Qin  Qing-zhu Lei
Affiliation:School of Math. Sci., Guangxi Normal Univ., Guilin 541004, China.
Abstract:This paper investigates the modified likelihood ratio test(LRT) for homogeneity in normal mixtures of two samples with mixing proportions unknown. It is proved that the limit distribution of the modified likelihood ratio test is X2(1).
Keywords:mixture model  likelihood ratio test  asymptotic distribution
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