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On the properties of a multiple sequential test

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Abstract

We consider a multiple testing problem based on an i.i.d. sample of K-dimensional observations. We want to test whether at least one of the unknown means is positive. We propose a sequential test which is of the nature of a multiple truncated sequential probability ratio test. We asymptotically analyse the expected sample size and compare it to the sample sizes which arise when one looks at effects separately.

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Correspondence to Albrecht Irle.

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Irle, A., Lotov, V. On the properties of a multiple sequential test. Metrika 72, 189–198 (2010). https://doi.org/10.1007/s00184-009-0247-2

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  • DOI: https://doi.org/10.1007/s00184-009-0247-2

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