Geodesic
Correct discrimination of the Gaussian hypotheses
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 6, Tome 298 (2003), pp. 155-160

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Given two equivalent Gaussian weak distributions, the problem of existence of Hilbert support with continuous likelyhood ratio of these distributions is under investigation. 
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     author = {V. A. Rovsky},
     title = {Correct discrimination of the {Gaussian} hypotheses},
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     volume = {298},
     year = {2003},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2003_298_a9/}
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V. A. Rovsky. Correct discrimination of the Gaussian hypotheses. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 6, Tome 298 (2003), pp. 155-160. http://geodesic.mathdoc.fr/item/ZNSL_2003_298_a9/