Geodesic

Sommaire du Fascicule no. 1

Formulas for eigen-functions and eigen-measures associated with Markov process
p. 3-28
Absolute continuity of measures corresponding to homogeneous Gaussian fields
p. 30-43
Diffusion approximation of non-Markov random walks on differentiable manifolds
p. 44-55
Some estimates in the theory of stochastic integral
p. 56-65
Some general questions of the theory of probability measures in linear spaces.
p. 66-77
Asymptotical behaviour of some statistical estimators. II.~Limiting theorems for the a posteriory density and Bayesian estimators
p. 78-93
The evaluation of statistical characteristics of long waveguides in two-modes model
p. 94-108
On strengthening of Lyapunov type estimates (the case when summands distributions are close to the normal one)
p. 109-121
Random mappings with bounded height
p. 122-132
Convergence of Point Complexes in $Z^n $ to Poisson Processes
p. 133-150
О~регулярности условных вероятностей для случайных процессов
p. 151-155
On canonical representations for stochastic processes of multiplicities one and two
p. 155-160
Boundary behaviour of conditional diffusion processes
p. 160-163
On the joint distribution of random variables connected with fluctuations of a stable process
p. 164-172
A~probabilistic representation of the solution of the directional derivative problem
p. 172-176
On ergodicity of Gaussian homogeneous random fields on homogeneous spaces
p. 177-180
On the rate of convergence to the normal law equivalent to the existence of the second moment
p. 180-185
On infinitesimal algebra for random sequences
p. 186-193
On sums of random vectors
p. 193-195
On asymptotic behaviour of the degrees of vertices in a~random graph
p. 195-203
On property of ``waiting process''
p. 203-206
Experiment design for comparison of two normal population parameters
p. 206-210
On estimation of the rate of convergence in a~limit theorem with a~stable limit law
p. 211-212
New Books
p. 213-214

Sommaire du Fascicule no. 2

On the Rate of Convergence for the Invariance Principle
p. 217-234
Asymptotic Sequential Tests for Regular Functionals of Distribution Functions
p. 235-249
Asymptotic Analysis of Statistical Estimators for the ``Almost Smooth'' Case
p. 250-260
Investigation of Gibbsian States for Three-Dimensional Lattice Systems
p. 261-279
Empirical Spectral Analysis of Homogeneous and Isotopic Random Fields
p. 280-288
On Statistics of the Reflection Coefficient of a Dissipative Multiwave Transmission Line with Random Section Lengths
p. 289-302
An Asymptotic Expansion for a Class of Estimators Containing Maximum Likelihood Estimators
p. 303-311
On the Theory of Optimal Stopping Rules for Markov Processes
p. 312-320
Mixing Conditions for Markov Chains
p. 321-338
The Admissibility of the Sample Mean As an Estimate of the Location Parameter for Non-Quadratic Risk Functions
p. 339-349
Absolute Estimates for Moments of Certain Boundary Functionals
p. 350-357
On the Order of Growth and Sums of Dependent Variables
p. 358-361
Random Series and Laws of Large Numbers in Some Banach Spaces
p. 361-367
Some Asymptotic Expansions for an Incomplete Probability Integral
p. 367-371
A Generalization of the Rao--Cram\'er Inequality
p. 371-375
Representation of Functionals of Wiener and Poisson Processes in the Form of Stochastic Integrals
p. 376-380
On Convergence of Random Sums of Random Variables to the Normal Law
p. 380-382
Characterizations of the Gamma Distributions
p. 382-384
A Theorem on Gaussian Random Fields
p. 384-387
On the Strong Law of Large Numbers for Second Order Stationary Processes and Sequences
p. 388-392
A Remark on the Papers by R.~L.~Dobrushin and H.~Kesten
p. 392-395
On a Multidimensional Version of the Kolmogorov Uniform Limit Theorem
p. 396-402
Some Estimates for the Maximum Cumulative Sum of Independent Random Variables
p. 402-405
Random Walk in a One-Dimensional Random Medium
p. 406-408
On Stochastic Games
p. 408-413
Some Hajek--R\'enyi Type Inequalities
p. 413-414
An Analogue of the Cauchy Formula for Stochastic Differential Equations
p. 415-417
The Strength of Connectivity of a Random Graph
p. 417-425
The Simulation of a Class of Random Fields
p. 425-427
On the Backward Interpolation Equations for the Jump Component of a Markov Process
p. 427-431
Summary of Papers Presented at Sessions of the Probability and Statistics Section of the Moscow Mathematical Society (October--December, 1972)
p. 432-444
New books
p. 445-446

Sommaire du Fascicule no. 3

Conditions for convergence ot degenerate processes
p. 449-456
The limit theorems for some functionals of processes with independent increments
p. 457-467
Properties of sample functions for stochastic processes and embedding theorems
p. 468-480
A sufficient condition for the number of zeros of a differentiable Gaussian stationary process to be finite
p. 481-490
On random series in a~Banach space
p. 491-505
On small random perturbations of a~second order differential equation
p. 505-514
On random fields of segments and random mosaics on the plane
p. 515-526
Some limit theorems for polynomials of second order
p. 527-534
On moments of generalized Bayessian estimators and maximum likelihood estimators
p. 535-546
A~generalized Bernoulli scheme and its limit distributions
p. 547-556
Variational series for the scheme of summing independent variables
p. 557-570
Sequential estimation of the parameter of a~Markov chain
p. 571-582
Chi-square test for continuous distributions with location and scale parameters
p. 583-591
On the moments of distributions attracted to stable laws
p. 593-595
Construction of Marcov processes with random birth and death times
p. 596-600
A~note on the second factorization identity of A.\,A.~Borovkov
p. 601-604
Conditions for convergence of the superposition of stochastic processes in J-topology
p. 605-608
On the convergence rate for a~sequence of distributions defined, by an autoregression scheme on a~compact group
p. 608-615
On conditions of equivalence and perpendicularity of measures corresponding to homogeneous Gaussian fields
p. 615-621
Remarks on Optimal Synthesis of Systems
p. 621-627
On the distribution of the number of solutions of random Boolean equation systems
p. 627-632
On sample continuity of random fields
p. 633-639
On the Characterization of a~Family of Distributions by the Property of Independence of Statistics
p. 639-642
Limit distributions of a~statistical estimate for the entropy
p. 643-650
Testing the hypothesis on the normality of a~multidimensional sample of a~large size
p. 651-655
On estimating distribution parameters from variational series' intervals
p. 655-662
On estimation of functionals of the probability density function and its derivatives
p. 662-668
Summary of Papers Presented at the Sessions of the Seminar in Probability Theory and Mathematical Statistics at the Mathematical Institute of the Academy of Sciences of the USSR
p. 669-679
Addendum: On Probabilities of Large Deviations for Sums of Independent Random Variables
Letter to the Editor
Book review: К.\,В.~Athreya, P.\,Е.~Ney ``Branching processes''
p. 681-682
Book review: G.\,G.~Roussas ``Contiguity of probability measures: some applications in statistics''
p. 682-684
New Books
p. 685-686

Sommaire du Fascicule no. 4

An asymptotic expansion for distributions of sums of a special form with application to minimum contrast estimates
p. 689-702
An estimate of the remainder term in limit theorems of renewal theory
p. 703-717
On dynamic systems with random perturbations
p. 718-733
Convergence of numerical characteristics of sums of independent random variables with vakues in a Hilbert space
p. 734-752
On the rate of approach of the distributions of sums of independent random variables to accompanying distributions
p. 753-766
On a combinatorial limit theorem
p. 767-777
Asymptotic properties of the degeneration probability for semi-Markov multiplication processes
p. 778-789
Approximation of the summation process obtained by sampling from a finite population
p. 790-803
Estimation of the mean of a Wiener process observed on an infinite interval
p. 804-808
A theorem of continuity of a random function on a compact in a Hilbert space
p. 809-811
Remarks on convergence of random processes in non-separable metric spaces and on the non-existence of a Borel measure for processes in~$C(0,\infty)$
p. 812-815
On a class of policies in general Markov decision models
p. 815-817
Probabilities of large deviations for randomly disturbed systems and stochastic stability
p. 818-824
Calculation of the Wasserstein distance between probability distributions on the line
p. 824-827
On the precise value of the significance level for the truncated one-sided Kolmogorov test
p. 827-830
On a two-sample test of the variance analysis
p. 831-836
On asymptotic normality of the sample mode of multivariate distributions
p. 836-842
On estimation of the maximal probability for sums of lattice random variables
p. 842-846
On the distribution of the number of vertices in strata of a random mapping
p. 846-852
On convergence in the $L_2$-norm of probability density estimates
p. 853-856
The definition of a distribution function with increasing hazard rate in terms of the Laplace transrorm
p. 856-858
On the queue length in priority queueing systems
p. 859-861
Summary of papers presented at sessions of the seminar on probability theory and mathematical statistics at the~T.~G.~Shevchenko Kiev State University
p. 862-873
Summaries of reports presented at sessions of the section on theory of probability and mathematical statistics of the Moscow mathematical society
p. 873-885
International conference on probability theory and mathematical statistics
p. 886-887
Addendum: minimax designs for testing the degree of a polynomial
New books