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Abstract

In the preceding chapter, the theoretical basis of estimation theory was presented. Now we turn our interest towards testing issues: we want to test the hypothesis H 0 that the unknown parameter θ belongs to some subspace of \(\mathbb {R}^{q}\). This subspace is called the null set and will be denoted by \(\Omega_{0} \subset \mathbb {R}^{q}\).

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Bibliography

  • Bock, R. D. (1975). Multivariate Statistical Methods in Behavioral Research, Mc Graw-Hill, New York.

    MATH  Google Scholar 

  • Morrison, D. F. (1990b). Multivariate Statistical Methods, McGraw-Hill, New York.

    Google Scholar 

  • Olkin, I. and Veath, M. (1980). Maximum likelihood estimation in a two-way analysis with correlated errors in one classification, Biometrika 68: 653–660.

    Article  Google Scholar 

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© 2012 Springer-Verlag Berlin Heidelberg

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Härdle, W.K., Simar, L. (2012). Hypothesis Testing. In: Applied Multivariate Statistical Analysis. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17229-8_7

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