We consider the problem of signal detection in Gaussian white noise. Test statistics are linear combinations of squares of Fourier coefficient estimators or L2-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. © 2025 Elsevier B.V., All rights reserved.
Язык оригиналаАнглийский
Страницы (с-по)709-721
Число страниц13
ЖурналJournal of Mathematical Sciences
Том286
Номер выпуска5
DOI
СостояниеОпубликовано - 2024

ID: 143369964