Geodesic

Tome 30 (1985) no. 1

Sommaire

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
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