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



Volume 44 and Volume 45


877.60011 Rojtgarts, A.D.
A cut theorem for weakly predictable sets in the plane. (English. Russian original)
Theory Probab. Math. Stat. 45, 101-104 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 45, 104-108 (1991). MSC 1991: *60D05 60G40 60G25


843.60075 Kozarovitskij, E.L.
Uniform ergodicity and stability of semi-Markov processes. (English. Russian original)
Theory Probab. Math. Stat. 45, 41-49 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 45, 44-54 (1991). MSC 1991: *60K15 60G10, Reviewer: B.P.Harlamov


842.35143 Trigub, S.G.
Justification of the Fourier method for solving a boundary value problem in mathematical physics with random initial conditions. (English. Russian original)
Theory Probab. Math. Stat. 45, 121-127 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 45, 127-135 (1991). MSC 1991: *35R60 42B99 35L20, Reviewer: A.D.Borisenko


838.60060 Koval', V.A.
Asymptotic behavior of solutions of stochastic recurrence equations under weakly dependent Gaussian Markov perturbations. (English. Russian original)
Theory Probab. Math. Stat. 45, 35-39 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 45, 39-44 (1991). MSC 1991: *60H99 60F15 60G15, Reviewer: S.Wedrychowicz


838.60073 Kushnir, A.O.
A limit theorem for the time of $\varepsilon$-convergence of two independent renewal processes. (English. Russian original)
Theory Probab. Math. Stat. 45, 67-70 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 45, 69-74 (1991). MSC 1991: *60K05 60F05, Reviewer: H.Wegmann


837.35015 Bondarev, B.V.
On averaging in periodic media under weakly dependent random actions. I. (English. Russian original)
Theory Probab. Math. Stat. 45, 9-15 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 45, 12-20 (1991). MSC 1991: *35B27 35K15 34B05


837.47034 Chani, A.S.
The index of exponential growth for stochastic semigroups of triangular form. (English. Russian original)
Theory Probab. Math. Stat. 45, 129-135 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 45, 135-142 (1991). MSC 1991: *47D07 60J35


836.60054 Rozovskij, L.V.
On the precision of approximation of the distribution function of a sum of independent random variables. (English. Russian original)
Theory Probab. Math. Stat. 45, 95-100 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 45, 97-104 (1991). MSC 1991: *60G50 60E99


834.60025 Kartashov, N.V.
Inequalities in Renyi's theorem. (English. Russian original)
Theory Probab. Math. Stat. 45, 23-28 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 45, 27-33 (1991). MSC 1991: *60F05 41A25 60G50


834.60038 Kozachenko, Yu.V.; Stadnik, A.I.
Pre-Gaussian processes and convergence in $C(T)$ of estimators of covariance functions. (English. Russian original)
Theory Probab. Math. Stat. 45, 51-57 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 45, 54-62 (1991). MSC 1991: *60G15 60G10 41A25


834.60041 Anisimov, V.V.
An averaging principle for switching recurrent sequences. (English. Russian original)
Theory Probab. Math. Stat. 45, 1-8 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 45, 3-12 (1991). MSC 1991: *60G17 60F05


834.60043 Moklyachuk, M.P.
On linear prediction of random processes under conditions of uncertainty. (English. Russian original)
Theory Probab. Math. Stat. 45, 87-93 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 45, 89-97 (1991). MSC 1991: *60G25 60G10 62M20


834.60044 Kuznetsova, O.M.
On problems of predicting an isotropic random field on Hilbert space. (English. Russian original)
Theory Probab. Math. Stat. 45, 59-65 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 45, 62-69 (1991). MSC 1991: *60G25 60G60 62M20


834.60054 Leonenko, N.N.; Parkhomenko, V.N.
Comparison theorems for measures of the sojourn of a Gaussian vector field in a ``small'' sphere. (English. Russian original)
Theory Probab. Math. Stat. 45, 71-75 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 45, 74-79 (1991). MSC 1991: *60G60 60G15


834.60055 Knopov, P.S.
On an estimator for the drift parameter of random fields. (English. Russian original)
Theory Probab. Math. Stat. 45, 29-33 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 45, 33-38 (1991). MSC 1991: *60G60 60J60 62F10


834.60063 Mishura, Yu.S.
Stochastic differential equations in the plane that contain strong semimartingales. (English. Russian original)
Theory Probab. Math. Stat. 45, 77-85 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 45, 79-88 (1991). MSC 1991: *60H10 60G48


834.60085 Sil'vestrov, D.S.; Abadov, Z.A.
Uniform representations of exponential moments of sums of random variables defined on a Markov chain, and of distributions of passage times. I. (English. Russian original)
Theory Probab. Math. Stat. 45, 105-120 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 45, 108-127 (1991). MSC 1991: *60J27 60G50


834.62098 Zayats, V.V.
Estimation from one sample of the correlation function of a homogeneous Gaussian field on the entire parameter set. (English. Russian original)
Theory Probab. Math. Stat. 45, 17-22 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 45, 20-27 (1991). MSC 1991: *62M40 62F12


813.60013 Velikoivanenko, A.I.
One-dimensional and multidimensional distributions of Polya type. (English. Russian original)
Theory Probab. Math. Stat. 44, 29-35 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 44, 31-40 (1991). MSC 1991: *60E05 60E10 60E07


800.90393 Strik, Ya.
Asymptotic analysis of a complex standby system with renewal. (English. Russian original)
Theory Probab. Math. Stat. 44, 131-133 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 44, 132-135 (1991). MSC 1991: *90B05 60K10


788.45008 Borisenko, A.D.
On the limiting behavior of the solution of an integro-differential equation. (English. Russian original)
Theory Probab. Math. Stat. 1992, 15-22 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 44, 16-25 (1991). MSC 1991: *45K05


788.60009 Kozachenko, Yu.V.; Ryazantseva, V.V.
Conditions for boundedness and continuity in terms of majorizing measures of random processes in certain Orlicz spaces. (English. Russian original)
Theory Probab. Math. Stat. 1992, 69-75 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 44, 72-79 (1991). MSC 1991: *60B11


788.60010 Bagro, S.V.
Some probabilistic inequalities and the central limit theorem in function spaces. (English. Russian original)
Theory Probab. Math. Stat. 1992, 7-13 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 44, 8-16 (1991). MSC 1991: *60B12 60E15 60F05


788.60018 Kozachenko, Yu.V.; Stadnik, A.I.
On convergence of some functionals of Gaussian vectors in Orlicz spaces. (English. Russian original)
Theory Probab. Math. Stat. 1992, 77-83 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 44, 80-87 (1991). MSC 1991: *60B99


788.60030 Braverman, M.Sh.
On sequences of independent stable random variables with different exponents. (English. Russian original)
Theory Probab. Math. Stat. 1992, 23-28 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 44, 25-31 (1991). MSC 1991: *60E15 60E07


788.60039 Solntsev, S.A.
On stochastic stability of linear summation schemes under multiplicative perturbations. (English. Russian original)
Theory Probab. Math. Stat. 1992, 125-130 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 44, 126-132 (1991). MSC 1991: *60F05 60E07


788.60047 Anisimov, V.V.; Atadzhanov, Kh.L.
The diffusion approximation of systems with repeated calls. (English. Russian original)
Theory Probab. Math. Stat. 1992, 1-5 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 44, 3-8 (1991). MSC 1991: *60F17 60J10 60J60


788.60062 Zaika, I.V.; Yadrenko, M.I.
Homogeneous and isotropic random measures. (English. Russian original)
Theory Probab. Math. Stat. 1992, 61-64 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 44, 63-67 (1991). MSC 1991: *60G57


788.60065 Sakhno, L.M.
Local times of a class of random fields. (English. Russian original)
Theory Probab. Math. Stat. 1992, 117-123 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 44, 118-125 (1991). MSC 1991: *60G60 60J55 60G15


788.60066 Gushchin, A.A.; Mishura, Yu.S.
The Davis inequalities and the Gundy decomposition for two-parameter strong martingales. III. (English. Russian original)
Theory Probab. Math. Stat. 1992, 45-51 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 44, 49-56 (1991). MSC 1991: *60G60 60G44


788.60070 Dorogovtsev, A.A.
Stochastic integrals with respect to Gaussian random measures. (English. Russian original)
Theory Probab. Math. Stat. 1992, 53-59 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 44, 56-63 (1991). MSC 1991: *60H05


788.60085 Kozarovitskij, E.L.
On some conditions for stability of Markov chains. (English. Russian original)
Theory Probab. Math. Stat. 1992, 65-68 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 44, 67-72 (1991). MSC 1991: *60J10


788.62023 Majboroda, R.E.
On the estimation of parameters of variable mixtures. (English. Russian original)
Theory Probab. Math. Stat. 44, 85-88 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 44, 87-92 (1991). MSC 1991: *62F10 62P10 62F12


788.62041 Petunin, Yu.I.; Mamunya, L.A.; Min'ko, A.A.; Kuritsyn, Yu.G.; Yakut, L.I.
Confidence limits containing the underlying distributed mass of the values of the general population. I. (English. Russian original)
Theory Probab. Math. Stat. 44, 113-116 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 44, 115-118 (1991). MSC 1991: *62G15 60E15 62G30


788.62042 Mirzakhmedov, M.A.; Tursunov, T.G.
On the rate of convergence of an empirical process constructed from a sample of random size. (English. Russian original)
Theory Probab. Math. Stat. 44, 89-93 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 44, 92-96 (1991). MSC 1991: *62G30 62G20 62F12


788.62054 Girko, V.L.
Asymptotic behavior of the eigenvalues of empirical covariance matrices. I. (English. Russian original)
Theory Probab. Math. Stat. 44, 37-44 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 44, 40-48 (1991). MSC 1991: *62H99 62G30 62E20


788.62084 Moklyachuk, M.P.
Minimax filtering of linear transforms of stationary processes. (English. Russian original)
Theory Probab. Math. Stat. 44, 95-102 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 44, 96-105 (1991). MSC 1991: *62M20 60G35 60G10


788.62085 Moklyachuk, M.P.; Tatarinov, S.V.
On minimax filtering of homogeneous random fields. (English. Russian original)
Theory Probab. Math. Stat. 44, 103-111 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 44, 105-115 (1991). MSC 1991: *62M20 62M40 60G60


788.62086 Shilo, L.V.
A theorem on estimating the mean of a stationary random field. (English. Russian original)
Theory Probab. Math. Stat. 44, 135-139 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 44, 135-140 (1991). MSC 1991: *62M40 62G05 62G20


765.60045 Sakhno, L.M.
Local times of a class of random fields. (Russian)
Teor. Veroyatn. Mat. Stat., Kiev 44, 118-125 (1991). MSC 1991: *60G60 60J55 60G15, Reviewer: N.M.Zinchenko


764.60038 Anisimov, V.V.; Atadzhanov, Kh.L.
Diffusion approximation of systems with repeated calls. (Russian)
Teor. Veroyatn. Mat. Stat., Kiev 44, 3-8 (1991). MSC 1991: *60F17 60J10 60J60, Reviewer: G.Falin


759.60058 Gushchin, A.A.; Mishura, Yu.S.
Davis inequalities and the Gundy decomposition for two-parametric strong martingales. III. (Russian)
Teor. Veroyatn. Mat. Stat., Kiev 44, 49-56 (1991). MSC 1991: *60G60 60G44, Reviewer: Yu.S.Mishura


756.60045 Zaika, I.V.; Yadrenko, M.I.
Homogeneous and isotropic random measures. (Russian)
Teor. Veroyatn. Mat. Stat., Kiev 44, 63-67 (1991). MSC 1991: *60G57 60A10, Reviewer: M.I.Yadrenko


752.45008 Borisenko, A.D.
Limit behaviour of the solution of an integro-differential equation. (Russian)
Teor. Veroyatn. Mat. Stat., Kiev 44, 16-25 (1991). MSC 1991: *45K05, Reviewer: C.Constanda


752.60023 Solntsev, S.A.
Stochastic stability of linear summation schemes in case of multiplicative perturbations. (Russian)
Teor. Veroyatn. Mat. Stat., Kiev 44, 126-132 (1991). MSC 1991: *60F05 60E07


749.60051 Dorogovtsev, A.A.
Stochastic integrals with respect to Gaussian random measures. (Russian)
Teor. Veroyatn. Mat. Stat., Kiev 44, 56-63 (1991). MSC 1991: *60H05, Reviewer: A.A.Dorogovtsev


749.60070 Kozarovitskij, E.L.
On some conditions of stability of Markov chains. (Russian)
Teor. Veroyatn. Mat. Stat., Kiev 44, 67-72 (1991). MSC 1991: *60J10, Reviewer: E.L.Kozarovitskij


748.60005 Bagro, S.V.
Some probability inequalities and the central limit theorem in functional spaces. (Russian)
Teor. Veroyatn. Mat. Stat., Kiev 44, 8-16 (1991). MSC 1991: *60B12 60E15 60F05, Reviewer: K.Liubinskas


748.60020 Braverman, M.Sh.
Sequences of independent stable random variables with different exponents. (Russian)
Teor. Veroyatn. Mat. Stat., Kiev 44, 25-31 (1991). MSC 1991: *60E15 60E07, Reviewer: M.Sh.Braverman


747.60010 Kozachenko, Yu.V.; Ryazantseva, V.V.
Conditions of boundedness and continuity of stochastic processes from some Orlicz spaces in terms of majorizing measures. (Russian)
Teor. Veroyatn. Mat. Stat., Kiev 44, 72-79 (1991). MSC 1991: *60B11, Reviewer: O.Lipovan


747.60012 Kozachenko, Yu.V.; Stadnik, A.I.
Convergence of some functionals of Gaussian vectors in Orlicz spaces. (Russian)
Teor. Veroyatn. Mat. Stat., Kiev 44, 80-87 (1991). MSC 1991: *60B99, Reviewer: O.Lipovan