Geodesic
Extreme problems in minimax signal detection for $l_q$-ellipsoids with $l_p$-balls removed
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 1, Tome 228 (1996), pp. 312-332

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Asymptotically minimax problem of signal detection is considered for signals from $l_q$-ellisoids with $l_p$-ball removed ($p>2$ or $p2$, $q$) and Gaussian white noise. Assymptotically exact condition of distinguishability are obtained as well as estimates of minimax probability of errors for axes of ellipsoids $a_n\asymp n^{-\lambda}$, $\lambda>0$. Bibl. 6 titles. 
@article{ZNSL_1996_228_a25,
     author = {I. A. Suslina},
     title = {Extreme problems in minimax signal detection for $l_q$-ellipsoids with $l_p$-balls removed},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {312--332},
     publisher = {mathdoc},
     volume = {228},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1996_228_a25/}
}
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I. A. Suslina. Extreme problems in minimax signal detection for $l_q$-ellipsoids with $l_p$-balls removed. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 1, Tome 228 (1996), pp. 312-332. http://geodesic.mathdoc.fr/item/ZNSL_1996_228_a25/