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1987, Volume 32, Issue 3  


Algorithms and Randomness
A. N. Kolmogorov, V. A. Uspenskii
425
Law of the Iterated Logarithm for Kolmogorov Random – or Chaotic – Sequences
V. G. Vovk
456
Kramer–Rao Type Integral Inequalities for Estimates of a Vector Parameter
A. E. Shemjakin
469
Sufficient Classes of Strategies in the Discrete Dynamic Programming. II. Local Stationary Strategies
E. A. Fainberg
478
Minimax Form of the Law of the Iterated Logarithm for Statistical Estimates
A. P. Korostelev
494
Asymptotical Behaviour of Probabilities of Type II Errors for the Neyman–Pearson Test
E. I. Kolomietz
503
On Predictible Tests of $(c_n)$-Consistency of Estimates
E. Valkeila, L. Yu. Vostrikova
523
On Limiting Empirical Distribution Function of the Eigenvalues of a Multivariate $F$ Matrix
Z. D. Bai, Y. Q. Yin, P. R. Krischnaiah
537

Short Communications
General Limit Theorems for $M$-Scheme
V. A. Abramov
549
On a Method of Characterization of Probability Distributions
M. Sh. Braverman
552
Some Properties of Kolmogorov $\Delta$-Random Finite Sequences
E. A. Asarin
556
On Randomness Defect of a Finite Object Relative to Measures with Given Complexity Bounds
V. V. Vjugin
558
Lower Limits of Frequences for Computable Sequences and Relativitized a priori Probabilities
An. A. Muchnik
563
On the Operating Time of Probabilistic Errorless Turing Machines
R. V. Freivald
565
Probabilistic Strategies for Finite Games with Complete Information
A. Kh. Shen
567
On a Scheme of Partial Summation
E. D. Chibisova
569
Discriminant Analysis When the Sample is Finite and the Dimension of the Feature Space Increase
S. V. Semovskii
573
On the Convergence of Queueing Processes in Composite Systems to Stationary Ones
G. I. Falin
577
Coincidence of $\sigma$-Algebras in the Scheme of Partially-Observable Diffusion Type Processes
T. A. Toronjadze
580
Estimate of the Rate of Convergence of Number Characterises in Limit Theorems with a Stable Limit Law
A. I. Daugavet
585
An Approach to Limit Theorems for Dependent Random Variables
B. S. Nachapetjan
589
On a Method of Design of the Likelihood Test for Parametrical Hypothesis in $R^m$
A. M. Nikabadze
594
Quantitative Estimates and Strong Inequalities for Critical Points of a Graph and Its Subgraph
M. V. Menshikov
599
Coincidence of Critical Points in Poisson Percolation Models
M. V. Menshikov, A. F. Sidorenko
603
Estimates of the Percolation Threshold for Square Lattice
S. A. Zuev
606
An Identification of Outliers when the Underlying Distribution is Exponential One
K. D. Rodionov
609
Uniform Laws of Great Numbers for Empirical Accompanying Functionals on Random Closed Sets
I. S. Molchanov
612
The Invariance Principle for $\varphi$-Mixing Sequences
Z. Rychlik, I. Szyszkowski
616
Limiting Behaviour of Sums of a Random Number of Independent and Identically Distributed Random Variables
J. Bethmann
619
A Characterization of the Gaussian Distribution on Abelian Groups
G. M. Fel'dman
623

New Books
New books
S. P. Yakovleva
627
Теория вероятностей и ее применения Theory of Probability and its Applications
 
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