Geodesic
Correct discrimination of the Gaussian hypotheses~II
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 8, Tome 320 (2004), pp. 129-149

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For a pair of equivalent Gaussian distributions a notion of their correct discrimination is introduced, which means the existence of a continuous version of their likelyhood ratio on some Hilbert support of these measures. Not every pair of equivalent Gaussian measures can be correctly discriminated. 
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     author = {V. A. Rovsky},
     title = {Correct discrimination of the {Gaussian} {hypotheses~II}},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2004_320_a10/}
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V. A. Rovsky. Correct discrimination of the Gaussian hypotheses~II. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 8, Tome 320 (2004), pp. 129-149. http://geodesic.mathdoc.fr/item/ZNSL_2004_320_a10/