Uniformly more powerful tests for hypotheses about linear inequalities when the variance is unknown
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- by Yining Wang and Michael P. McDermott PDF
- Proc. Amer. Math. Soc. 129 (2001), 3091-3100 Request permission
Abstract:
Let X be a $p$-dimensional normal random vector with unknown mean $\mu$ and covariance matrix $\Sigma =\sigma ^{2}\Sigma _{0}$, where $\Sigma _{0}$ is a known matrix and $\sigma ^{2}$ an unknown parameter. This paper gives a test for the null hypothesis that $\mu$ lies either on the boundary or in the exterior of a closed, convex polyhedral cone versus the alternative hypothesis that $\mu$ lies in the interior of the cone. Our test is uniformly more powerful than the likelihood ratio test.References
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Additional Information
- Yining Wang
- Affiliation: Schering-Plough Research Institute, 2015 Galloping Hill Road, K-15-2, 2315, Kenilworth, New Jersey 07033-0539
- Email: wayne.wang@spcorp.com
- Michael P. McDermott
- Affiliation: Department of Biostatistics, University of Rochester, 601 Elmwood Avenue, Box 630, Rochester, New York 14642
- Email: mikem@bst.rochester.edu
- Received by editor(s): May 13, 1998
- Received by editor(s) in revised form: December 14, 1999
- Published electronically: May 10, 2001
- Communicated by: Wei Y. Loh
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 3091-3100
- MSC (2000): Primary 62F03; Secondary 62F04, 62H15
- DOI: https://doi.org/10.1090/S0002-9939-01-05824-5
- MathSciNet review: 1840116