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Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen, Technische Universität Dortmund >
Technical Reports, SFB 475, TU Dortmund >
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http://hdl.handle.net/10419/49373
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| Title: | | A note on testing the covariance matrix for large dimension  |
| Authors: | | Birke, Melanie Dette, Holger |
| Issue Date: | | 2003 |
| Series/Report no.: | | Technical Report // Universität Dortmund, SFB 475 Komplexitätsreduktion in Multivariaten Datenstrukturen 2004,02 |
| Abstract: | | We consider the problem of testing hypotheses regarding the covariance matrix of multivariate normal data, if the sample size s and dimension n satisfy lim [n,s→∞] n/s = y. Recently, several tests have been proposed in the case, where the sample size and dimension are of the same order, that is y ∈ (0,∞). In this paper we consider the cases y = 0 and y = ∞. It is demonstrated that standard techniques are not applicable to deal with these cases. A new technique is introduced, which is of its own interest, and is used to derive the asymptotic distribution of the test statistics in the extreme cases y = 0 and y = ∞. |
| Subjects: | | sphericity test random matrices Wishart distribution |
| Document Type: | | Working Paper |
| Appears in Collections: | | Technical Reports, SFB 475, TU Dortmund
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