Asymptotic distribution of the likelihood ratio test statistic in the multisample case
Classical results on the asymptotic distribution of the likelihood ratio test statistic are extended to the multipopulation setting. The assertions include a statement on the asymptotic distribution in the case of linear hypotheses and a statement on the asymptotic distribution for hypotheses approximable by cones. The latter framework includes usual smooth hypotheses and is dealt with under validity of local alternatives.
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