Lei Qingzhu, Qin Yongsong, . A Modified Likelihood Ratio Test for Homogeneity in Normal Mixtures of Two Samples with an Unknown Variance[J]. Chinese Journal of Applied Probability and Statistics, 2009, 25(1): 86-94.
Citation: Lei Qingzhu, Qin Yongsong, . A Modified Likelihood Ratio Test for Homogeneity in Normal Mixtures of Two Samples with an Unknown Variance[J]. Chinese Journal of Applied Probability and Statistics, 2009, 25(1): 86-94.
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A Modified Likelihood Ratio Test for Homogeneity in Normal Mixtures of Two Samples with an Unknown Variance

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  • This paper investigates the asymptotic properties of a modified likelihood ratio statistics for testing homogeneity in normal mixture models of two samples with an unknownstructural parameter. The asymptotic null distribution of the modified likelihood ratio test statistic is found to be \chi^2_(1).
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