2 papers
math.ST2020
On uniform consistency of nonparametric tests I
Mikhail Ermakov
We point out necessary and sufficient conditions of uniform consistency of nonparametric sets of alternatives for widespread nonparametric tests. Nonparametric sets of alternatives…
math.ST2017
On asymptotically minimax nonparametric detection of signal in Gaussian white noise
Mikhail Ermakov
For the problem of nonparametric detection of signal in Gaussian white noise we point out strong asymptotically minimax tests. The sets of alternatives are a ball in Besov space $B…