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Theory of Probability and Mathematical Statistics
(Teoriya imovirnostey ta matematychna statystyka)



Volume 46 and Volume 47


pre960.11680 Bondarev, B.V.
On averaging in periodic media under weakly dependent random actions. II. (English. Russian original)
Theory Probab. Math. Stat. 46, 15-21 (1993); translation from Teor. Jmovirn. Mat. Stat. 46, 18-24 (1992). MSC 1991: *35L15 35L20 35R60


873.60046 Komashko, O.V.
On stability of Markov chains generated by piecewise-linear transformations. (English. Russian original)
Theory Probab. Math. Stat. 47, 65-70 (1993); translation from Teor. Jmovirn. Mat. Stat. 47, 63-69 (1992). MSC 1991: *60J10


842.60039 Kozachenko, Yu.V.; Oleshko, T.A.
On the distribution of supremum of square-Gaussian random processes. (English. Russian original)
Theory Probab. Math. Stat. 47, 57-64 (1993); translation from Teor. Jmovirn. Mat. Stat. 47, 55-62 (1992). MSC 1991: *60G15 60E15 46E30, Reviewer: N.M.Zinchenko


842.60050 Leonenko, N.N.; Parkhomenko, V.N.
Limit distributions of spherical sojourn measures for vector Gaussian random fields. (English. Russian original)
Theory Probab. Math. Stat. 47, 83-90 (1993); translation from Teor. Jmovirn. Mat. Stat. 47, 80-88 (1992). MSC 1991: *60G60 60F05 60G15, Reviewer: N.M.Zinchenko


842.60051 Leonenko, N.N.; Sabirov, Sh.O.
Limit theorems for characteristics of a crossing of a low level by Gaussian random fields. (English. Russian original)
Theory Probab. Math. Stat. 47, 91-100 (1993); translation from Teor. Jmovirn. Mat. Stat. 47, 88-99 (1992). MSC 1991: *60G60 60G15 60G18, Reviewer: N.M.Zinchenko


840.60038 Zinchenko, N.M.
On the question of the asymptotics of the increments of asymmetric stable processes. (English. Russian original)
Theory Probab. Math. Stat. 46, 51-57 (1993); translation from Teor. Jmovirn. Mat. Stat. 46, 53-60 (1992). MSC 1991: *60G17 60F15, Reviewer: A.I.Volodin


840.60041 Zinchenko, N.M.
On approximation of sums of random variables in the domain of attraction of a stable law with parameter $\alpha=1$. (English. Russian original)
Theory Probab. Math. Stat. 47, 29-33 (1993); translation from Teor. Jmovirn. Mat. Stat. 47, 29-34 (1992). MSC 1991: *60G50 60F15 60E07, Reviewer: A.I.Volodin


840.60048 Pashko, A.O.
On estimators of the distribution of the supremum of sub-Gaussian integrals. (English. Russian original)
Theory Probab. Math. Stat. 46, 121-127 (1993); translation from Teor. Jmovirn. Mat. Stat. 46, 124-132 (1992). MSC 1991: *60G70 60H05 62E20, Reviewer: I.C.Vladimirescu


840.60051 Ponomarenko, O.I.
Operator bimeasures and stochastic integrals in normed spaces. (English. Russian original)
Theory Probab. Math. Stat. 47, 129-137 (1993); translation from Teor. Jmovirn. Mat. Stat. 47, 129-139 (1992). MSC 1991: *60H05 60B99 46G10, Reviewer: R.L.Schilling


839.60016 Molchanov, I.S.
Characterization of random closed sets stable with respect to union. (English. Russian original)
Theory Probab. Math. Stat. 46, 111-116 (1993); translation from Teor. Jmovirn. Mat. Stat. 46, 114-120 (1992). MSC 1991: *60D05 60E07, Reviewer: L.Heinrich


839.60037 Minbaeva, G.U.
Limit theorems for integral functionals of a process with instantaneous reflection. (English. Russian original)
Theory Probab. Math. Stat. 47, 101-105 (1993); translation from Teor. Jmovirn. Mat. Stat. 47, 99-104 (1992). MSC 1991: *60F17 60G50 60H10, Reviewer: O.K.Zakusilo


839.60041 Kozachenko, Yu.V.; Kozachenko, L.F.
On the modelling of Gaussian stationary processes with absolutely continuous spectrum. (English. Russian original)
Theory Probab. Math. Stat. 47, 49-55 (1993); translation from Teor. Jmovirn. Mat. Stat. 47, 47-54 (1992). MSC 1991: *60G15 60G10 42A10, Reviewer: A.V.Yakimov


838.60049 Denisova, I.Yu
On the stability of an invariant set of a system of stochastic differential equations. (English. Russian original)
Theory Probab. Math. Stat. 46, 47-50 (1993); translation from Teor. Jmovirn. Mat. Stat. 46, 50-53 (1992). MSC 1991: *60H10 93E15, Reviewer: C.Varsan


838.62089 Koval', T.L.
On the accuracy of normal approximation of regression coefficients of a random field. (English. Russian original)
Theory Probab. Math. Stat. 47, 41-48 (1993); translation from Teor. Jmovirn. Mat. Stat. 47, 39-47 (1992). MSC 1991: *62M40 60F05 62F12, Reviewer: Z.Rychlik


837.60064 Kharkova, M.V.
Some limit theorems for a sequence of Markov chains. (English. Russian original)
Theory Probab. Math. Stat. 47, 147-154 (1993); translation from Teor. Jmovirn. Mat. Stat. 47, 149-159 (1992). MSC 1991: *60J10 60F05


836.60042 Vovk, L.B.; Kozachenko, Yu.V.
On the rate of convergence in the Levy-Baxter theorems for certain classes of random processes. (English. Russian original)
Theory Probab. Math. Stat. 46, 23-32 (1993); translation from Teor. Jmovirn. Mat. Stat. 46, 25-36 (1992). MSC 1991: *60G15 60F25


836.60044 Bondarenko, I.V.; Ivanov, A.V.
On sample properties of random fields with stable increments. (English. Russian original)
Theory Probab. Math. Stat. 47, 9-13 (1993); translation from Teor. Jmovirn. Mat. Stat. 47, 11-15 (1992). MSC 1991: *60G17 60G60


836.60057 Olenko, A.Ya.
On proximity of the spectral functions of homogeneous isotropic fields. (English. Russian original)
Theory Probab. Math. Stat. 46, 117-119 (1993); translation from Teor. Jmovirn. Mat. Stat. 46, 120-124 (1992). MSC 1991: *60G60 60E99


836.62058 Le Phe Do
Statistical properties of an estimator of the third-order moment function of a stationary process. (English. Russian original)
Theory Probab. Math. Stat. 46, 63-69 (1993); translation from Teor. Jmovirn. Mat. Stat. 46, 63-70 (1992). MSC 1991: *62M09 62F12 62M15


835.60018 Anisimov, V.V.
The averaging principle for switching processes. (English. Russian original)
Theory Probab. Math. Stat. 46, 1-10 (1993); translation from Teor. Jmovirn. Mat. Stat. 46, 3-13 (1992). MSC 1991: *60F05 93E03


835.60029 Endzhyrgly, M.V.
Estimation of the probability of exceeding a given level by a random series. (English. Russian original)
Theory Probab. Math. Stat. 47, 23-28 (1993); translation from Teor. Jmovirn. Mat. Stat. 47, 23-29 (1992). MSC 1991: *60G15 60E15 40A30


835.60030 Shermatov, A.A.; Yarova, N.V.
Semi-invariant conditions for fields of shot-type effect to be Lipschitz. (English. Russian original)
Theory Probab. Math. Stat. 46, 137-142 (1993); translation from Teor. Jmovirn. Mat. Stat. 46, 141-146 (1992). MSC 1991: *60G15 60G60 26A16


835.60037 Moklyachuk, M.P.; Tatarinov, S.V.
On a linear prediction problem for homogeneous random fields. (English. Russian original)
Theory Probab. Math. Stat. 47, 119-127 (1993); translation from Teor. Jmovirn. Mat. Stat. 47, 118-129 (1992). MSC 1991: *60G25 93E11 62M20


835.60038 Moklyachuk, M.P.
On a filtering problem for vector-valued sequences. (English. Russian original)
Theory Probab. Math. Stat. 47, 107-118 (1993); translation from Teor. Jmovirn. Mat. Stat. 47, 104-118 (1992). MSC 1991: *60G35 62M20 93E10


835.60039 Kuznetsova, O.M.
On the problem of filtering an isotropic random field on a Hilbert space. (English. Russian original)
Theory Probab. Math. Stat. 46, 59-61 (1993); translation from Teor. Jmovirn. Mat. Stat. 46, 60-63 (1992). MSC 1991: *60G35 60G60


835.60041 Ponomarenko, O.I.
Integral representations of random functions with values in locally convex spaces. (English. Russian original)
Theory Probab. Math. Stat. 46, 129-136 (1993); translation from Teor. Jmovirn. Mat. Stat. 46, 132-141 (1992). MSC 1991: *60G57 60H05 60G60


835.60046 Kuznetsova, O.M.
Isotropic random fields on systems of spheres. (English. Russian original)
Theory Probab. Math. Stat. 47, 71-76 (1993); translation from Teor. Jmovirn. Mat. Stat. 47, 69-75 (1992). MSC 1991: *60G60


835.60047 Sigal, B.M.
A forecasting problem for homogeneous and isotropic random fields. (English. Russian original)
Theory Probab. Math. Stat. 47, 139-146 (1993); translation from Teor. Jmovirn. Mat. Stat. 47, 139-146 (1992). MSC 1991: *60G60 60G25 62M20


835.60052 Makhno, S.Ya.
The diffusion approximation for a class of random processes. (English. Russian original)
Theory Probab. Math. Stat. 46, 77-87 (1993); translation from Teor. Jmovirn. Mat. Stat. 46, 76-87 (1992). MSC 1991: *60H10 60F17


835.60081 Kushnir, O.O.
On the asymptotic behavior of the distribution of a refusal moment in the $GI\vert GI\vert 2\vert 0$ system. (English. Russian original)
Theory Probab. Math. Stat. 47, 77-81 (1993); translation from Teor. Jmovirn. Mat. Stat. 47, 75-80 (1992). MSC 1991: *60K25 60F99


834.62016 Bardadym, T.A.; Ivanov, A.V.
An asymptotic expansion of the distribution of a functional of the least square estimator. (English. Russian original)
Theory Probab. Math. Stat. 47, 1-8 (1993); translation from Teor. Jmovirn. Mat. Stat. 47, 3-10 (1992). MSC 1991: *62E20 62J02 62F12


834.62017 Girko, V.L.
The asymptotics of the eigenvalues of empirical covariance matrices. II. (English. Russian original)
Theory Probab. Math. Stat. 46, 33-37 (1993); translation from Teor. Jmovirn. Mat. Stat. 46, 36-42 (1992). MSC 1991: *62E20 65U05 65C99


834.62018 Girko, V.L.; Stepakhno, I.V.
The asymptotics of Stieltjes transforms of singular spectral functions. (English. Russian original)
Theory Probab. Math. Stat. 46, 39-45 (1993); translation from Teor. Jmovirn. Mat. Stat. 46, 42-50 (1992). MSC 1991: *62E20 62H10 15A18


834.62032 Majboroda, R.E.
Projection estimators of varying concentrations of mixtures. (English. Russian original)
Theory Probab. Math. Stat. 46, 71-75 (1993); translation from Teor. Jmovirn. Mat. Stat. 46, 70-76 (1992). MSC 1991: *62G05 62G20 62E17


834.62035 Bajramov, I.G.
Statistical tests on the basis of model samples in the problem of classification of observations. (English. Russian original)
Theory Probab. Math. Stat. 46, 11-14 (1993); translation from Teor. Jmovirn. Mat. Stat. 46, 13-17 (1992). MSC 1991: *62G10 62G05 62G30


834.62049 Girko, V.L.
On a class of spectral estimates. (English. Russian original)
Theory Probab. Math. Stat. 47, 15-22 (1993); translation from Teor. Jmovirn. Mat. Stat. 47, 15-22 (1992). MSC 1991: *62H12 15A18


834.62094 Moklyachuk, M.P.; Tatarinov, S.V.
On the problem of robust filtering of homogeneous random fields. (English. Russian original)
Theory Probab. Math. Stat. 46, 103-110 (1993); translation from Teor. Jmovirn. Mat. Stat. 46, 104-114 (1992). MSC 1991: *62M20 62M40 60G60


834.62095 Moklyachuk, M.P.
On the problem of minimax extrapolation of vector sequences perturbed by white noise. (English. Russian original)
Theory Probab. Math. Stat. 46, 89-102 (1993); translation from Teor. Jmovirn. Mat. Stat. 46, 88-104 (1992). MSC 1991: *62M20 62M15


834.62097 Kaplan, E.I.
Convergence of estimates for partitions in the disorder problem for random fields. (English. Russian original)
Theory Probab. Math. Stat. 47, 35-39 (1993); translation from Teor. Jmovirn. Mat. Stat. 47, 34-39 (1992). MSC 1991: *62M40 62G20