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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

2003, Volume 298

| General information | Contents |


Probability and statistics. Part 6


Exact small ball constants for some Gaussian processes under $L^2$-norm
L. Beghin, Ya. Yu. Nikitin, E. Orsingher
5
On distributions of some functionals of Brownian local time
A. N. Borodin
22
On distributions of additive functionals of Brownian motion stopped at the moment of maximum or minimum of random times
I. V. Vagurina
36
A Berry–Esseen bound for $U$-statistics
L. V. Gadasina
54
On large deviations of type II error probabilities of Kolmogorov and omega-squared tests
M. S. Ermakov
80
On approximation of the sample by a Poisson point process
A. Yu. Zaitsev
111
On some limit laws in the coupon collector's problem
N. D. Kan, V. B. Nevzorov
126
On random broken lines weakly converging to fractional Ornstein–Uhlenbeck process
A. V. Liber, O. V. Rusakov
134
On the growth of sums of the indicators of events
V. V. Petrov
150
Correct discrimination of the Gaussian hypotheses
V. A. Rovsky
155
Large deviation probabilities for some classes of distributions, satisfying the Cramer condition
L. V. Rozovskii
161
Gaussian conditional and quotient distributions on conic subsets
V. N. Sudakov
186
On asymptotic behaviour of increments of random fields
A. N. Frolov
191
Strong limit theorems for increments of renewal processes
A. N. Frolov
208
Characteristic operator of a diffusion process
B. P. Harlamov
226
Large deviations for a class of scale-free statistics under Gamma distribution
A. V. Tchirina
252
Small ball probability for centered Poisson process of high intensity
E. Yu. Shmileva
280
Rate of convergence of increments for random fields
O. E. Shcherbakova
304


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