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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

1993, Volume 202

| General information | Contents |


Statistics and control of stochastic processes


Foreword
A. A. Novikov, A. N. Shiryaev
3
On estimation of a parameter for systems with physical white noise
A. A. Afanas'ev
4
Linear filtering under dependent white and wide-band noises
A. E. Bashirov
11
Some random environments statistical problems for observable birth-and-death processes
A. A. Butov
25
On large deviations in the averaging principle for stochastic difference equations on a torus
A. Yu. Veretennikov
33
On the convergence of sequences of semimartingales and their components
A. A. Gushchin
42
Optimal stopping of a nonterminating homogeneous standard Markov process on a finite time interval
V. M. Dochviri
120
Optimality of generalized CUSUM procedure in quickest detection problem
V. P. Dragalin
132
Guaranteed estimation of autoregression parameters on the basis of a sequential correlational method
V. V. Konev, S. M. Pergamenshchikov
149
On a proof of Itô's formula
N. V. Krylov
170
The Bogolyubov averaging principle for semimartingales
R. Sh. Liptser
175
On asymptotic properties of estimates under sequential design
M. B. Malyutov, L. A. Orna Uaraka, V. G. Spokoiny
190
Limit theorems for the first passage time of autoregression process over a level
A. A. Novikov, B. A. Èrgashev
209
Lower bound for the expected size of a learning sample for sequential pattern recognition procedures
I. V. Pavlov
234
On solvability and averaging for stochastic functional-differential equations with respect to a semimartingale
A. E. Rodkina
246
On construction of optimal strategies of parameter estimation for controllable systems
V. G. Spokoiny
258
On the concept of $\lambda$-convergence of statistical experiments
V. G. Spokoiny, A. N. Shiryaev
282
Asymptotically minimax multialternative sequential rule for disorder detection
A. G. Tartakovskii
287
Canonical representation of a Gaussian semimartingale and the innovation
M. Hitsuda
296


© Steklov Math. Inst. of RAS, 2025