Minimax detection of a signal in the heteroscedastic Gaussian white noise |
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Authors: | M. S. Ermakov |
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Affiliation: | (1) St. Petersburg State University, St. Petersburg, Russia |
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Abstract: | We consider the problem of signal detection in the heteroscedastic Gaussian white noise when the set of alternatives is essentially nonparametric. In this setting, we find a family of asymptotically minimax tests. The results are extended to the case of testing a parametric hypothesis against nonparametric sets of alternatives. Bibliography: 8 titles. __________ Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 320, 2004, pp. 54–68. |
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