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Abstract
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The problem of testing the isotonic of several p -variate normal mean vectors
against all alternatives is considered. This is a multivariate extension of
Robertson and Wegrnan (1978). In the present paper, two cases are
considered. First, it is assumed that the covariance matices are known and
second that they have an unknown scale factor. For both cases, we propose the
test statistic, critical values and estimate the power of tests. The p -values are
obtained by simulation study
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