Geodesic
On the minimax detection of positive signals
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 4, Tome 278 (2001), pp. 112-140

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The minimax signal detection problem for admissible sets of signals of the form of a sphere with a domain around the center removed has been considered in detail in recent autors' papers. In the present paper the question about additional possibilities arising under assumption of positivity of the signal is investigated. 
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     author = {Yu. I. Ingster and I. A. Suslina},
     title = {On the minimax detection of positive signals},
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     pages = {112--140},
     publisher = {mathdoc},
     volume = {278},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2001_278_a5/}
}
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Yu. I. Ingster; I. A. Suslina. On the minimax detection of positive signals. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 4, Tome 278 (2001), pp. 112-140. http://geodesic.mathdoc.fr/item/ZNSL_2001_278_a5/