A $$U$$ -statistic approach for a high-dimensional two-sample mean testing problem under non-normality and Behrens

A $$U$$ -statistic approach for a high-dimensional two-sample mean testing problem under non-normality and Behrens–Fisher setting

Published:2013-04-20 Issue:1 Volume:66 Page:33-61
ISSN:0020-3157
Container-title:Annals of the Institute of Statistical Mathematics
language:en
Short-container-title:Ann Inst Stat Math

Author:

Ahmad M. Rauf

Publisher

Springer Science and Business Media LLC

Subject

Statistics and Probability

Link

http://link.springer.com/content/pdf/10.1007/s10463-013-0404-2.pdf

Reference36 articles.

1. Ahmad, M. R. (2008). Analysis of high-dimensional repeated measures designs: The one- and two-sample test statistics. Ph.D. Thesis. Göttingen: Cuvillier Verlag.

2. Ahmad, M. R., Werner, C., Brunner, E. (2008). Analysis of high dimensional repeated measures designs: The one sample case. Computational Statistics & Data Analysis, 53, 416–427.

3. Ahmad, M. R., von Rosen, D., Singull, M. (2012a). A note on mean testing for high-dimensional multivariate data under non-normality. Statistica Neerlandica, 67(1), 81–99.

4. Ahmad, M. R., Yamada, T., von Rosen, D. (2012b). Tests of covariance matrices for high-dimensional multivariate data. Test (Submitted).

5. Bai, Z., Saranadasa, H. (1996). Effect of high dimension: By an example of a two sample problem. Statistica Sinica, 6, 311–329.

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