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JOURNALS // Matematicheskie Trudy // Archive

1982, Volume 1

Limit theorems of probability theory and related questions


Предельные теоремы, связанные с принципом инвариантности
Probability space methods for Markov processes
I. S. Borisov
4
The asymptotic behavior of distributions connected with the exit of a nondiscrete random walk from an interval
V. I. Lotov
18
Large deviations for the Wiener process
A. A. Mogul'skii
25
The rate of convergence in boundary problems for domains with discontinuities
I. F. Pinelis
50
Estimates of the rate of convergence in the invariance principle
A. I. Sakhanenko
72

Предельные теоремы для случайных процессов и их приложения
Asymptotically optimal tests for testing composite similar hypotheses
A. A. Borovkov, A. I. Sakhanenko
79
Moderately large deviations from an invariant measure
A. A. Mogul'skii
90
A local limit theorem for critical Bellman–Harris processes with discrete time
V. A. Topchii
97
Estimates for the rate of convergence in a local limit theorem for the square of the norm in $l_2$
V. I. Chebotarev
122
Averaging of nondivergence random elliptic operators
V. V. Yurinskii
126

Свойства распределений и некоторые прикладные задачи
Finding in explicit form the distribution of the supremum of a random walk on a Markov chain
K. Arndt
139
On a martingale problem in the plane
V. M. Borodikhin
146
On the quadratic variation of random sequences
G. P. Karev
156
Probability inequalities for sums of independent random variables with values in a Banach space
S. V. Nagaev
159
Inductive limits of directed sets of continuous measures
G. V. Nedogibchenko, L. Ya. Savel'ev
168
An estimate for the density of the distribution of functionals of integral type
A. I. Sakhanenko
180
Systems with several types of customers
S. G. Foss
186


© Steklov Math. Inst. of RAS, 2026