Testing for change in mean of independent multivariate observations with time varying covariance (Q764447)

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scientific article; zbMATH DE number 6014394
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Testing for change in mean of independent multivariate observations with time varying covariance
scientific article; zbMATH DE number 6014394

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    Testing for change in mean of independent multivariate observations with time varying covariance (English)
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    13 March 2012
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    Summary: We consider a nonparametric CUSUM test for change in the mean of a multivariate time series with time varying covariance. We prove that under the null, the test statistic has a Kolmogorov limiting distribution. The asymptotic consistency of the test against a large class of alternatives which contains abrupt, smooth and continuous changes is established. We also perform a simulation study to analyze the size distortion and the power of the proposed test.
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