Title: Nonparametric Signal Detection with Small Values of Type I and Type II Error Probabilities.
Authors: Ermakov, M. S.
Abstract: We consider the problem of signal detection in Gaussian white noise. Test statistics are linear combinations of squares of Fourier coefficient estimators or 핃2-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.
Subjects: FALSE positive error; ERROR probability; SIGNAL detection; RANDOM noise theory; STATISTICS
Publication: Journal of Mathematical Sciences, 2024, Vol 286, Issue 5, p709
ISSN: 1072-3374
Publication type: Academic Journal
DOI: 10.1007/s10958-024-07535-w

Nonparametric Signal Detection with Small Values of Type I and Type II Error Probabilities.

Ermakov, M. S.