Minimax signal detection for \(l_ q\)-ellipsoids with \(l_ p\)-balls removed. (English. Russian original) Zbl 0852.94010
J. Math. Sci., New York 81, No. 1, 2442-2449 (1996); translation from Zap. Nauchn. Semin. POMI 207, 126-136 (1993).
See the review in Zbl 0819.94014.
MSC:
| 94A13 | Detection theory in information and communication theory |
| 94A11 | Application of orthogonal and other special functions |
| 60G35 | Signal detection and filtering (aspects of stochastic processes) |
| 62C20 | Minimax procedures in statistical decision theory |
References:
| [1] | Yu. I. Ingster, ”Minimax nonparametric defection of signals in white Gaussian noise,”Probl. Inf. Transmission,18, 130–140 (1982). · Zbl 0499.94002 |
| [2] | M. S. Ermakov ”Minimax defection of a signal in a Gaussian white noise,”Theory Probab. Appl.,35, 667–679 (1990). · Zbl 0744.62117 · doi:10.1137/1135098 |
| [3] | Yu. I. Ingster, ”Minimax defection of signals inl p -metrics,”Zap. Nauchn. Semin. LOMI,184, 152–168 (1990). · Zbl 0738.94005 |
| [4] | Yu. I. Ingster, ”Minimax testing of nonparametric hypotheses on a distribution density in theL p -metrics,”Theory Probab. Appl.,31, 333–337 (1986). · Zbl 0629.62049 · doi:10.1137/1131042 |
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