Geodesic

Sommaire du Fascicule no. 1

One-Dimensional Continuous Strong Markov Processes
p. 3-54
General Theorems on the Factorization of Infinitely Divisible Laws II. Sufficient Conditions
p. 55-85
Comparison of the Optimal Properties of the Wald and Neyman--Pearson Criteria
p. 86-93
A Note on Stepanov’s Tests for Markov Chains
p. 93-96
A Commutativity Problem in the Theory of Markov Chains
p. 97-100
On a Class of Optimal Decision Functions for a Binomial Family of Distributions
p. 101-105
Information Theory with an Abstract Alphabet (Generalized Forms of McMillan’s Limit Theorem for the Case of Discrete and Continuous Times)
p. 105-109
Generalization of a Theorem for Branching Processes
p. 109-113
Conference on the Application of Mathematical Methods in Biology
p. 114-116
The All-Union Conference on the Theory of Probability And Mathematical Statistics
p. 116-120
Исправление к~работе Л.\,Д.~Мешалкина «Предельные теоремы для цепей Маркова с~конечным числом состояний» (т.~III, вып.~4).
Поправка к рецензии на книгу У.~Гренандер и М.~Розенблатт «Статистический анализ стационарных временных рядов» (т.~III, вып.~4)

Sommaire du Fascicule no. 2

Transient Phenomena in branching stochastic processes
p. 121-135
On Transformations of Random Variables
p. 136-149
General Theorems on the Factorization of Infinitely Divisible Laws.~III
p. 150-171
On Boundary Conditions For Multidimensional Diffusion Processes
p. 172-185
Some Limit Theorems for Random Functions.~I
p. 186-207
Continuous One-Dimensional Markov Processes and Additive Functionals Derived from Them
p. 208-211
An Extremal Problem in Probability Theory
p. 211-214
Some Remarks on the Strong Law of Large Numbers
p. 215-220
Asymptotic Expansions for Distributions of Sums of Independent Random Variables
p. 220-224
On a Class of Limit Theorems for Independent Random Variables
p. 224-228
On an Exact Estimate for a Local Theorem
p. 229-233
Summary of Papers Presented at the Sessions of the Seminar on Probability Theory, Moscow University
p. 233-246
Criticism and Bibliography
p. 247-248
Corrections ``Transmission of Information In Channels With Reversed Connections''

Sommaire du Fascicule no. 3

The Entropy of an Automorphism of a Solenoidal Group
p. 249-254
Probability Distributions on Bicompact Topological Groups
p. 255-290
Spectral Analysis of Abstract Functions
p. 291-310
An Information-Theoretic Proof of the Central Limit Theorem with Lindeberg Conditions
p. 311-321
On Bivariate Stationary Processes and the Factorization of Matrix-Valued Functions
p. 322-331
On Positive Solutions of the Equation $\mathfrak Au+Vu=0$
p. 332-341
On a Method of Calculation of Semi-Invariants
p. 342-355
On a Property of Non-Degenerate Diffusion Processes
p. 355-361
On a Statistical Estimate for the Entropy of a Sequence of Independent Random Variables
p. 361-364
Reviews and Bibliographies
p. 365-367

Sommaire du Fascicule no. 4

Asymptotic Analysis of the Distribution of the Maximum Deviation in the Bernoulli Scheme
p. 369-397
On the Maximum Partial Sums of Sequences of Independent Random Variables
p. 398-404
On the Estimation of Regression Coefficients of a Continuous Parameter Time Series with a Stationary Residual
p. 405-423
Waveguides with Random Inhomogeneities and Brownian Motion In the Lobachevsky Plane
p. 424-432
Limit Theorems for the Compositions of Distributions in the Lobachevsky Plane and Space
p. 432-436
Analytic Random Processes
p. 437-444
Some Remarks on Goncharov’s Paper from the Domain of Combinatorics
p. 445-450
On the Estimation of the Mean in Stationary Processes
p. 451-453
On the Unimodality of Geometric Stable Laws
p. 453-456
On One Theorem of R.~Bellman
p. 456-458
On the Theory of Optimal Filtering of a Signal in the Presence of Internal Random Noise
p. 458-464
On the Extrapolation of Generalized Stationary Random Processes
p. 465-471
Summary of Papers Presented at The Sessions of the Probability Research Seminar, Moscow University (February--May 1959)
p. 472-485
Errata to the article in v.IV, \No~2, 1959