2 citations · 3 across the 7 of their papers we have counts for
8 papers
On uniformly consistent tests
Mikhail Ermakov
Necessary and sufficient conditions of uniform consistency are explored. A hypothesis is simple. Nonparametric sets of alternatives are bounded convex sets in , $p >1…
Nonparametric signal detection with small values of type I and type II error probabilities
Mikhail Ermakov
We consider problem of signal detection in Gaussian white noise. Test statistics are linear combinations of squares of estimators of Fourier coefficients or -norms of…
On uniform consistency of nonparametric tests II
Mikhail Ermakov
For Kolmogorov test we find natural conditions of uniform consistency of sets of alternatives approaching to hypothesis. Sets of alternatives can be defined both in terms of distri…
On consistency and inconsistency of nonparametric tests
Mikhail Ermakov
For tests with increasing number of cells, Cramer-von Mises tests, tests generated - norms of kernel estimators and tests generated quadratic forms of estimator…
On maxispaces of nonparametric tests
Mikhail Ermakov
For the problems of nonparametric hypothesis testing we introduce the notion of maxisets and maxispace. We point out the maxisets of tests, Cramer-von Mises tests, tests gene…
On One Property of Tikhonov Regularization Algorithm
Mikhail Ermakov
For linear inverse problem with Gaussian random noise we show that Tikhonov regularization algorithm is minimax in the class of linear estimators and is asymptotically minimax in t…