3 citations · 6 across the 11 of their papers we have counts for
13 papers
On Minimax Detection of Gaussian Stochastic Sequences with Imprecisely Known Means and Covariance Matrices
Marat V. Burnashev
We consider the problem of detecting (testing) Gaussian stochastic sequences (signals) with imprecisely known means and covariance matrices. The alternative is independent identica…
On the Reliability Function for a BSC with Noiseless Feedback at Zero Rate
Marat V. Burnashev
We consider the transmission of nonexponentially many messages through a binary symmetric channel with noiseless feedback. We obtain an upper bound for the best decoding error expo…
On Minimax Detection of Gaussian Stochastic Sequences and Gaussian Stationary Signals
M. V. Burnashev
Minimax detection of Gaussian stochastic sequences (signals) with unknown covariance matrices is studied. For a fixed false alarm probability (1-st kind error probability), the per…
New Upper Bounds in the Hypothesis Testing Problem with Information Constraints
Marat V. Burnashev
We consider a hypothesis testing problem where a part of data cannot be observed. Our helper observes the missed data and can send us a limited amount of information about them. Wh…
On detection of Gaussian stochastic sequences
Marat V. Burnashev
The problem of minimax detection of Gaussian random signal vector in White Gaussian additive noise is considered. It is supposed that an unknown vector of the signal…
Two theorems on distribution of Gaussian quadratic forms
Marat V. Burnashev
New results on comparison of distributions of Gaussian quadratic forms are presented