Abstract
In this chapter we continue the study of hypothesis testing problems for alternatives determined by power and Besov norms. This is based on duality which corresponds to Hilbert structure introduced in Section 3.3.3. To obtain the duality we study the minimax properties of tests based on the approximation of log-likelihood statistics for product priors with two-or three-point factors jointly with thresholding.
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© 2003 Springer Science+Business Media New York
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Ingster, Y.I., Suslina, I.A. (2003). Sharp Asymptotics. II. In: Nonparametric Goodness-of-Fit Testing Under Gaussian Models. Lecture Notes in Statistics, vol 169. Springer, New York, NY. https://doi.org/10.1007/978-0-387-21580-8_5
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DOI: https://doi.org/10.1007/978-0-387-21580-8_5
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-95531-5
Online ISBN: 978-0-387-21580-8
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