Geodesic
Nonparametric signal detection with small values of type I and type II error probabilities
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 32, Tome 510 (2022), pp. 124-142 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider problem of signal detection in Gaussian white noise. Test statistics are linear combinations of squares of estimators of Fourier coefficients or $\mathbb{L}_2$-norms of kernel estimators. We point out necessary and sufficient conditions when nonparametric sets of alternatives have a given rate of exponential decay for type II error probabilities. 
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     title = {Nonparametric signal detection with small values of type {I} and type {II} error probabilities},
     journal = {Zapiski Nauchnykh Seminarov POMI},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2022_510_a6/}
}
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M. S. Ermakov. Nonparametric signal detection with small values of type I and type II error probabilities. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 32, Tome 510 (2022), pp. 124-142. http://geodesic.mathdoc.fr/item/ZNSL_2022_510_a6/

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