Geodesic

Sommaire du Fascicule no. 1

Limit theorems for normalized spectral functions of nonsymmetric random Jacobi matrices
p. 3-9
On regular methods of summing of random variables
p. 10-18
Speed of convergence to the normal law in Hilbert space
p. 19-32
Upper bounds for the maximum probability for sums of independent random vectors
p. 33-43
On the existence of innovation process for a~component of a~diffusion type process
p. 44-57
Asymptotic properties of the point processes of rare events of Gaussian fields.~II
p. 58-65
Statistical estimation of higher-order spectra
p. 66-77
On asymptotically complete classes of tests in the problem of testing composite hypotheses under the contiguite alternatives
p. 78-91
On sufficient statistics of Gaussian processes with rational spectral density function
p. 92-103
Estimates of the characteristic functions of some random variables with applications to $\omega^2$-statistics.~II
p. 104-112
A problem of estimating of the coordinates of the source of radiance
p. 113-124
An algebraic characterization of the normal distribution
p. 125-127
Remarks on inequalities for the probabilities of large deviations
p. 127-131
Strong invariance principle for sums of random variables from the domain of attraction of a~stable law
p. 132-136
Characterization of power-mixtures by means of their one-sided asymptotic behaviour
p. 136-140
Large deviation probabilities for the ratio of two quadratic forms in normal variables
p. 141-143
On the probability of hitting a~square root boundary of the Brownian motion
p. 143-145
Spectral type of Hermite polynomial of a~Wiener process
p. 145-147
Theorems of comparison existence and uniqueness for stochastic differential equations
p. 147-152
On the uniqueness of a~solution of a~stochastic differential equation with driving martingale and random measure
p. 152-156
Theorem of existence for stochastic differential equation in locally convex space
p. 157-160
A remark on strong consistency of LS estimates when the errors of observations are weakly correlated
p. 160-163
On the asymptotic behaviour of the characteristics of the~SPRT
p. 164-169
Limit theorems for one class of decomposable statistics
p. 170-174
Estimates of the closeness of the distribution of a~randomized decomposable statistics to the normal law in the polynomial case
p. 175-178
On a condition of slow growth of the number of dependencies
p. 179-182
Asymptotic behavior of the subcritical and supercritical reduced branching processes
p. 183-188
Summary of reports presented at sessions of the probability and mathematical statistics seminar at the Leningrad branch of the Steklov Institute of Mathematics of the USSR Academy of Sciences (February--May~1984)
p. 188-198
Summary of reports presented at sessions of the probability and mathematical statistics
p. 198-203
Information on the International conference systems>>
New books

Sommaire du Fascicule no. 2

Weak convergence of random broken lines to the Wiener process
p. 209-218
On the accuracy of normal approximation on sets defined by a~smooth function.~I
p. 219-229
Inequalities in theorems of stability and ergodicity for Markov chains with common phase space.~I
p. 230-240
Asymptotic properties of positive operator powers.~II
p. 241-251
Semi-Markov and jump Markov controlled models. Average value criterion
p. 252-268
Calculation of deficiency of asymptotically efficient tests
p. 269-288
Asymptotically optimal tests for composite finite-parametric hypotheses
p. 289-308
Second-order asymptotic optimality and positive solutions of Shr\"odinger's equation
p. 309-338
The probability of solvability of a~system of random linear equations over a~finite ring
p. 339-350
On the accuracy of normal approximation of the distributions of random sums of random vectors
p. 351-354
On the dependence of estimates of the rate of convergence in the central limit theorem on the covariance operator of summands
p. 354-357
Estimation of Stability in S.\,N.~Bernshtein's theorem
p. 358-360
Convergence of moments of sums of random number of independent random variables
p. 361-364
Central limit theorem for weakly dependent Banach-valued random variables
p. 365-368
The resolvent of a homogeneous process with independent increments killed on a~half-axis
p. 368-372
Limit theorems for a~critical branching process with moving particles
p. 372-377
Chernoff's efficiency of goodness-of-fit tests based on empirical distribution functions
p. 378-381
On properties of the moments of stochastic appoximation processes
p. 381-386
An estimate of the variation distance between probability measures
p. 386-391
On the variation distance between the distribution of a~sum of independent Bernoulli variables and the Poisson law
p. 391-396
On the density of the first non-linear boundary exit time for a~stable process
p. 397-401
On a measure of smoothness of the multidimensional distributions of integer-valued random vectors
p. 401-405
Book review: H.~Hayer on locally compact groups>>
p. 406-408
Book review: V.\,K.~Zacharov, B.\,A.~Sevastianov, V.\,P.~Chystiakov >
Book review: I.\,N.~Kovalenko, N.\,Yu.~Kuznecov, V.\,M.~\v Surenkov >
Information on the First world Congress of the Bernoulli Society for Mathematical Statistics and Probability
Information: jubilees Yu.\,A.~Rozanov and A.\,N.~\v Siryaev
New books
p. 412-413

Sommaire du Fascicule no. 3

Approximation of non-degenerate $U$-statistics
p. 417-426
Estimates of proximity to the normal distribution in sampling without replacement
p. 427-439
The characteristic properties of normal and stable distributions
p. 440-448
On infinitely divisible distributions of the class~$I_0$ on groups
p. 449-461
Inequalities for some walk processes
p. 462-467
On the rate of convergence of branching processes to a~diffusion one
p. 468-477
Inequalities in theorems of stability and ergodicity for Markov chains with common phase space.~II
p. 478-485
Continuous affine functions on the space of Markov kernels
p. 486-498
A theorem on large deviations in the neighbourhood of $\varphi^4$-hierarchical model
p. 499-510
On the set of sums of functional series in spaces $L_\phi$
p. 511-523
Non-parametric estimation of the density with unknown smoothness
p. 524-534
On a method of computing the moments of a~ladder variables
p. 535-538
Uniformity in the weak and vague convergence
p. 538-541
On the continuous function representation of random variables
p. 542-545
Estimation of distributions of normed quadratic forms of normally distributed random variables
p. 545-549
Several estimates for the distributions of quadratic forms
p. 549-554
On the accuracy of normal approximation on sets defined by a~smooth function.~II
p. 554-557
On Chauvenet's test for finding several outliers
p. 558-561
A simple modification of Pitman estimates for a~location parameter
p. 562-566
On second-order efficiency of an asymptotically efficient test based on Markov observations
p. 567-571
Method of computation of the exact distribution of the Kolmogorov--Smirnov statistics under Lehmann alternatives.
p. 572-573
An analogue of Glivenko--Cantelli theorem for binomial sampling from a~finite population
p. 574-576
A refinement of theorems on complete classes of tests
p. 576-580
Estimates for rare events occurence times in regenerating processes
p. 580-583
A functional limit theorem for additively separable statistics in the case of very rare events
p. 584-588
On the convergence of counting processes connected with $U$-statistics
p. 589-593
Some recurrence formulas for probability of connectednes of random graphs
p. 593-595
Seminar VIII on problems of stochastic models
p. 595-606
Summary of reports presented at sessions of the probability and mathematical statistics seminar at the T.\,G.~Shevchenko Kiev state University (May~1984--December~1984)
p. 607-617
Information on the International conference >
p. 618-619
New books
p. 620-621

Sommaire du Fascicule no. 4

Infinitesimal characteristics of Markov processes in a~functional space decribing the past
p. 625-639
The elliptic law
p. 640-651
On the rate of convergence in the infinite-dimensional central limit theorem for the probability of hitting a~parallelepiped
p. 652-661
On the rate of convergence on some class of sets in the central limit theorem in Hilbert space
p. 662-670
Convergence theorems for single-server feedback queues generated by a~general class of marked point processes
p. 671-678
Minimax properties of the maximum likelihood estimate when the parameter drifts
p. 679-693
On the one-sided law of iterated logarithm
p. 694-705
Weak approximation of the solutions of systems of stochastic differential equations
p. 706-721
Local structure of a homogeneous Gaussian random field in the neighbourhood of high-level points
p. 722-736
Reduced multitype critical Bellman--Harris branching process
p. 737-749
Four examples of lower estimates in the miltidimensional central limit theorem
p. 750-758
A functional limit theorem for $U$-statistics with a~degenerate kernel
p. 759-762
On the lower estimate of the rate of convergence in the local limit theorem
p. 763-766
On limit behaviour of some class of empirical averages of a~random set
p. 767-772
Geometrical approach to the maximum likelihood estimation of the infinite-dimensional Gaussian location.~II
p. 772-779
Equidistribution on compact homogeneous spaces and the Kantorovich--Rubinshtein metric
p. 779-782
An information property of exponential families
p. 783-786
On a generalisation of decomposable statistics
p. 786-790
Second-order minimax estimation in linear regression
p. 790-795
A nonparametric method of estimation of homogeneity intervals of a~random sequence
p. 795-799
Some estimates of probabilities of large deviations
p. 800-804
The characterisation of Gamma-distribution by optimal estimates
p. 804-810
Limit theorem for the eigenvalues of the sample covariance matrix when the underlying distribution is isotropic
p. 810-817
The Gauss--Tchebyshev inequality for unimodal distributions
p. 817-820
Information on scientific life
Letter to the editors
New Books
p. 823-824