Test That Normal Mean Vector Lies In the Positive Orthant against the Negative One
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Graphical Abstract
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Abstract
In the case of the independent random samples from n normal populations with a commonbut unknown variance, the likelihood ratio (LR) test that normal mean vector lies in the positiveorthant against the negative one is possible under mild conditions, and a new distribution, namedBeta Star distribution, which is found and used to determme the distribution of the LR Statistic.
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