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



Volume 34 and Volume 35


646.41013 Solntsev, S.A.
On the rate of convergence of series of independent random variables. (English. Russian original)
Theory Probab. Math. Stat. 35, 121-125 (1987); translation from Teor. Veroyatn. Mat. Stat. 35, 105-110 (1986). MSC 1991: *41A25 60G50 60F15, Reviewer: R.Wegmann


634.60007 Buldygin, V.V.; Kharazishvili, A.B.
An inequality of Anderson and unimodal measures. (English. Russian original)
Theory Probab. Math. Stat. 35, 13-26 (1987); translation from Teor. Veroyatn. Mat. Stat. 35, 13-27 (1986). MSC 1991: *60B11 60E15 60E07, Reviewer: A.Janssen


634.60029 Leonenko, N.N.; Ehl-Bassionij, A.Kh.
Limit theorems for some characteristics of level overshoot by a Gaussian field with strong dependence. (English. Russian original)
Theory Probab. Math. Stat. 35, 59-64 (1987); translation from Teor. Veroyatn. Mat. Stat. 35, 54-60 (1986). MSC 1991: *60F17 60G60 60G15, Reviewer: R.Mikulevicius


634.60031 Besklinskaya, E.P.; Kozachenko, Yu.V.
Convergence in Orlicz space norms and Levy-Baxter theorems. (English. Russian original)
Theory Probab. Math. Stat. 35, 1-4 (1987); translation from Teor. Veroyatn. Mat. Stat. 35, 3-6 (1986). MSC 1991: *60F25 46E30, Reviewer: S.T.Rachev


634.62094 Koval'chuk, T.V.
On convergence of the distributions of functionals of the correlogram of a homogeneous random field with unknown mean. (English. Russian original)
Theory Probab. Math. Stat. 35, 45-53 (1987); translation from Teor. Veroyatn. Mat. Stat. 35, 44-51 (1986). MSC 1991: *62M99 62F12 60G60, Reviewer: M.Yadrenko


667.62047 Dorogovtsev, A.Ya.; Zerek, N.; Kukush, A.G.
Asymptotic properties of nonlinear regression estimators in Hilbert space. (English. Russian original)
Theory Probab. Math. Stat. 35, 37-44 (1987); translation from Teor. Veroyatn. Mat. Stat. 35, 36-43 (1986). MSC 1991: *62J02 62F12 62E20, Reviewer: J.C.Masse


659.60085 Yurachkovskij, A.P.
Weak convergence of recurrent sequences to processes of diffusion type. (English. Russian original)
Theory Probab. Math. Stat. 35, 109-120 (1987); translation from Teor. Veroyatn. Mat. Stat. 35, 96-105 (1986). MSC 1991: *60H10 60B10


635.60061 Gliklikh, Yu.E.
The curvilinear Ito integral with Riemannian parallel displacement and stochastic equations on manifolds. (English. Russian original)
Theory Probab. Math. Stat. 35, 31-36 (1987); translation from Teor. Veroyatn. Mat. Stat. 35, 31-36 (1986). MSC 1991: *60H05 60H10 58G32, Reviewer: H.Crauel


634.60049 Tatarinov, S.V.; Moklyachuk, M.P.
On minimax estimation of linear transforms of random fields with values in Hilbert space. (English. Russian original)
Theory Probab. Math. Stat. 35, 127-136 (1987); translation from Teor. Veroyatn. Mat. Stat. 35, 111-118 (1986). MSC 1991: *60G60 62G05, Reviewer: M.Yadrenko


634.62052 Girko, V.L.
$G\sb 2$-estimators of the spectral functions of covariance matrices. (English. Russian original)
Theory Probab. Math. Stat. 35, 27-30 (1987); translation from Teor. Veroyatn. Mat. Stat. 35, 28-31 (1986). MSC 1991: *62H12 62E20 62F12


633.60051 Kolchinskij, V.I.
Functional limit theorems and empirical entropy. II. (English. Russian original)
Theory Probab. Math. Stat. 34, 81-93 (1987); translation from Teor. Veroyatn. Mat. Stat. 34, 73-85 (1986). MSC 1991: *60F17 60G05 60F05, Reviewer: E.Haeusler


633.60071 Leonenko, N.N.; Rybasov, K.V.
Conditions for the spherical means of local functionals of Gaussian fields to converge to a Wiener process. (English. Russian original)
Theory Probab. Math. Stat. 34, 95-102 (1987); translation from Teor. Veroyatn. Mat. Stat. 34, 85-93 (1986). MSC 1991: *60G60 60G15 60F05, Reviewer: M.Yadrenko


633.60072 Shklyar, G.A.
On a theorem of Levy-Baxter type. (English. Russian original)
Theory Probab. Math. Stat. 34, 147-150 (1987); translation from Teor. Veroyatn. Mat. Stat. 34, 129-132 (1986). MSC 1991: *60G60 60G15 60F99, Reviewer: A.N.Radchenko


633.60079 Pisanets, S.I.
A limit theorem for stochastic differential equations in $R\sp m$. (English. Russian original)
Theory Probab. Math. Stat. 34, 127-137 (1987); translation from Teor. Veroyatn. Mat. Stat. 34, 111-122 (1986). MSC 1991: *60H10 60F25 60J60, Reviewer: M.M.Rao


633.60095 Bojko, R.V.
Limit theorems for a branching process with variable regime. (English. Russian original)
Theory Probab. Math. Stat. 35, 5-11 (1987); translation from Teor. Veroyatn. Mat. Stat. 35, 6-13 (1986). MSC 1991: *60J80 60F05, Reviewer: D.R.Grey


633.62030 Farakh, A.K.
Asymptotics of the mean-square error of estimators of a function of two variables. (English. Russian original)
Theory Probab. Math. Stat. 35, 103-107 (1987); translation from Teor. Veroyatn. Mat. Stat. 35, 91-95 (1986). MSC 1991: *62F12 62H12


632.60017 Majboroda, R.E.
On an estimator of the parameters of sub-Gaussian random variables. (English. Russian original)
Theory Probab. Math. Stat. 34, 103-107 (1987); translation from Teor. Veroyatn. Mat. Stat. 34, 94-97 (1986). MSC 1991: *60F05 62F12 60G15, Reviewer: W.Szczotka


632.60045 Omarov, S.O.; Yadrenko, M.I.
On an analogue of the Kotel'nikov-Shannon formula for homogeneous and isotropic random fields. (English. Russian original)
Theory Probab. Math. Stat. 35, 83-85 (1987); translation from Teor. Veroyatn. Mat. Stat. 35, 76-78 (1986). MSC 1991: *60G60 60G10, Reviewer: A.N.Radchenko


632.60096 Prizva, G.I.
On a characteristic of a single-server system with an unreliable device. (English. Russian original)
Theory Probab. Math. Stat. 35, 97-101 (1987); translation from Teor. Veroyatn. Mat. Stat. 35, 87-91 (1986). MSC 1991: *60K25 90B22 90B25, Reviewer: V.V.Kalashnikov


632.62014 Masol, V.I.
Limit distributions of certain statistics of an integer sequence. (English. Russian original)
Theory Probab. Math. Stat. 35, 75-81 (1987); translation from Teor. Veroyatn. Mat. Stat. 35, 69-75 (1986). MSC 1991: *62E20 60F05


632.62022 Lin'kov, Yu.N.
Asymptotic properties of the Neyman-Pearson test in the case of completely asymptotically distinguishable hypotheses. (English. Russian original)
Theory Probab. Math. Stat. 35, 65-73 (1987); translation from Teor. Veroyatn. Mat. Stat. 35, 60-69 (1986). MSC 1991: *62F05 62F03 60G42


631.60064 Anisimov, V.V.
Approximation of asymptotically consolidatable Markov processes. (English. Russian original)
Theory Probab. Math. Stat. 34, 1-11 (1987); translation from Teor. Veroyatn. Mat. Stat. 34, 3-12 (1986). MSC 1991: *60J05 60J25, Reviewer: G.G.Vranceanu


629.60029 Kokobinadze, T.S.
A limit theorem for the spectral functions of a pencil of random matrices. (English. Russian original)
Theory Probab. Math. Stat. 35, 55-58 (1987); translation from Teor. Veroyatn. Mat. Stat. 35, 52-54 (1986). MSC 1991: *60F05 15A52 15A18, Reviewer: Lin Zhengyan


629.60052 Mishura, Yu.S.
Sufficient conditions for relative compactness of measures corresponding to two-parameter strong martingales. (English. Russian original)
Theory Probab. Math. Stat. 34, 117-125 (1987); translation from Teor. Veroyatn. Mat. Stat. 34, 104-111 (1986). MSC 1991: *60G44 60G60 60G40, Reviewer: D.Nualart


629.60057 Malyarenko, A.A.
A class of multidimensional random fields of Markov type. (English. Russian original)
Theory Probab. Math. Stat. 34, 109-115 (1987); translation from Teor. Veroyatn. Mat. Stat. 34, 97-104 (1986). MSC 1991: *60G60 60J25 46F99, Reviewer: Yu.S.Mishura


629.60063 Diallo, Mamadou
On the limit behavior of the solution of a stochastic differential equation. (English. Russian original)
Theory Probab. Math. Stat. 34, 51-56 (1987); translation from Teor. Veroyatn. Mat. Stat. 34, 47-53 (1986). MSC 1991: *60H10 34D05 93E15, Reviewer: M.Piccioni


629.60072 Ponomarenko, A.I.
Some classes of stochastic differential equations for generalized second- order random fields in Banach spaces. (English. Russian original)
Theory Probab. Math. Stat. 35, 87-95 (1987); translation from Teor. Veroyatn. Mat. Stat. 35, 78-87 (1986). MSC 1991: *60H15 60G60 35L35, Reviewer: K.U.Schaumloeffel


627.60019 Braverman, M.Sh.
On a property of absolute moments. (English. Russian original)
Theory Probab. Math. Stat. 34, 29-37 (1987); translation from Teor. Veroyatn. Mat. Stat. 34, 27-36 (1986). MSC 1991: *60E05 60E10 44A60, Reviewer: A.M.Mathai


627.60022 Velikoivanenko, A.I.
Multidimensional analogues of the Polya theorem. (English. Russian original)
Theory Probab. Math. Stat. 34, 39-46 (1987); translation from Teor. Veroyatn. Mat. Stat. 34, 36-43 (1986). MSC 1991: *60E10 60G60, Reviewer: A.M.Mathai


627.60023 Kartashov, N.V.
Inequalities in theorems on consolidation of Markov chains. (English. Russian original)
Theory Probab. Math. Stat. 34, 67-80 (1987); translation from Teor. Veroyatn. Mat. Stat. 34, 62-73 (1986). MSC 1991: *60E15 60J27 60J35, Reviewer: J.C.Masse


627.60040 Vlasenko, S.N.
On the necessity of Lindeberg's condition in the weak invariance principle for functions of independent variables. (English. Russian original)
Theory Probab. Math. Stat. 34, 47-50 (1987); translation from Teor. Veroyatn. Mat. Stat. 34, 44-47 (1986). MSC 1991: *60F17, Reviewer: M.M.Rao


625.60009 Ryzhov, Yu.M.
The Levy-Baxter theorem and decomposition of Gaussian processes. (English. Russian original)
Theory Probab. Math. Stat. 34, 139-145 (1987); translation from Teor. Veroyatn. Mat. Stat. 34, 122-129 (1986). MSC 1991: *60B12 60F25 60G15, Reviewer: D.Szynal


625.60024 Zakusilo, O.K.
On limit characteristics of certain Markov processes with deterministic drift. (English. Russian original)
Theory Probab. Math. Stat. 34, 57-65 (1987); translation from Teor. Veroyatn. Mat. Stat. 34, 53-61 (1986). MSC 1991: *60F05 60K25 60J25, Reviewer: St.P.Niculescu