Geodesic
About one result of L.~H.~Bolshev from the theory of statistical testing of hypothesis
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 18, Tome 153 (1986), pp. 129-137

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In this paper there is given the proof of the Bolshev's result on the existence of the optimal test in the problem of testing of two simple hypothesis provided that the possibility of the refusal to take the decision is given. 
@article{ZNSL_1986_153_a11,
     author = {M. S. Nikulin},
     title = {About one result of {L.~H.~Bolshev} from the theory of statistical testing of hypothesis},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {129--137},
     publisher = {mathdoc},
     volume = {153},
     year = {1986},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1986_153_a11/}
}
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M. S. Nikulin. About one result of L.~H.~Bolshev from the theory of statistical testing of hypothesis. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 18, Tome 153 (1986), pp. 129-137. http://geodesic.mathdoc.fr/item/ZNSL_1986_153_a11/