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



Volume 32 and Volume 33


653.60086 Chechetkina, T.N.
On approximate computation of the characteristics of semi-Markov processes. (English. Russian original)
Theory Probab. Math. Stat. 32, 121-123 (1986); translation from Teor. Veroyatn. Mat. Stat. 32, 107-109 (1985). MSC 1991: *60K15 65C05 62E25, Reviewer: C.J.Mode


639.60013 Onipchuk, S.V.
Stability with respect to a group of actions, of probability laws defined on a finite Abelian group. (English. Russian original)
Theory Probab. Math. Stat. 33, 97-102 (1986); translation from Teor. Veroyatn. Mat. Stat. 33, 86-92 (1985). MSC 1991: *60B15 60E07


639.60041 Kurchenko, A.A.
The limit of integral sums and functionals of Levy-Baxter type. (English. Russian original)
Theory Probab. Math. Stat. 33, 59-63 (1986); translation from Teor. Veroyatn. Mat. Stat. 33, 53-57 (1985). MSC 1991: *60F25 60H05 60G15


639.60043 Kukush, A.G.
Stability theorems for sequences $\eta \sb{n+1}=f(\eta \sb n,\xi \sb{n+1})$ in Banach and metric spaces. (English. Russian original)
Theory Probab. Math. Stat. 33, 47-57 (1986); translation from Teor. Veroyatn. Mat. Stat. 33, 42-52 (1985). MSC 1991: *60G10 34D20 46B15


634.62039 Majboroda, R.E.
An estimator of the moment generating function of a random variable from the results of observations. (English. Russian original)
Theory Probab. Math. Stat. 32, 141-151 (1986); translation from Teor. Veroyatn. Mat. Stat. 32, 121-131 (1985). MSC 1991: *62G05 62G15 60F05


634.62093 Dykhovichnyj, A.A.
On estimators of the correlation and spectral functions of a homogeneous and isotropic Gaussian random field. (English. Russian original)
Theory Probab. Math. Stat. 32, 17-26 (1986); translation from Teor. Veroyatn. Mat. Stat. 32, 17-27 (1985). MSC 1991: *62M99 62M15 62E20


654.44006 Daletskij, A.Yu.
On the quantum moment problem. (English. Russian original)
Theory Probab. Math. Stat. 32, 9-16 (1986); translation from Teor. Veroyatn. Mat. Stat. 32, 9-17 (1985). MSC 1991: *44A60 42A70 22E45, Reviewer: R.W.Shonkwiler


644.62022 Lin'kov, Yu.N.
Types of asymptotic distinguishability of families of hypotheses, and their characterization. (English. Russian original)
Theory Probab. Math. Stat. 33, 65-74 (1986); translation from Teor. Veroyatn. Mat. Stat. 33, 57-67 (1985). MSC 1991: *62F05 62F03, Reviewer: V.Malinovskij


639.60050 Makhno, S.Ya.
Filtering of stochastic evolution equations. (English. Russian original)
Theory Probab. Math. Stat. 33, 75-86 (1986); translation from Teor. Veroyatn. Mat. Stat. 33, 68-79 (1985). MSC 1991: *60G35 93E11 60H15


635.60027 Klesov, O.I.
On convergence of series of dependent random elements in Hilbert spaces. (English. Russian original)
Theory Probab. Math. Stat. 32, 35-43 (1986); translation from Teor. Veroyatn. Mat. Stat. 32, 33-42 (1985). MSC 1991: *60F15 60G10 60G50, Reviewer: T.Mori


635.60069 Anisimov, V.V.; Yurachkovskij, A.P.
A limit theorem for stochastic difference schemes with random coefficients. (English. Russian original)
Theory Probab. Math. Stat. 33, 1-9 (1986); translation from Teor. Veroyatn. Mat. Stat. 33, 3-11 (1985). MSC 1991: *60H10 39A10 60F05, Reviewer: A.Korzeniowski


635.62034 Madreimov, I.; Petunin, Yu.I.
Construction of confidence limits, with the help of order statistics, for the bulk of the distribution of a general population. (English. Russian original)
Theory Probab. Math. Stat. 32, 57-68 (1986); translation from Teor. Veroyatn. Mat. Stat. 32, 53-66 (1985). MSC 1991: *62G15 62G30


632.60076 Kartashov, N.V.
Asymptotic representations in the ergodic theorem for generalized Markov chains and their applications. (English. Russian original)
Theory Probab. Math. Stat. 32, 131-139 (1986); translation from Teor. Veroyatn. Mat. Stat. 32, 113-121 (1985). MSC 1991: *60J27 60K15 60K25, Reviewer: G.G.Vranceanu


632.62017 Ehl'Basionij, A.Kh.
On the convergence of functionals of a statistical estimate of entropy in a polynomial scheme. (English. Russian original)
Theory Probab. Math. Stat. 33, 127-133 (1986); translation from Teor. Veroyatn. Mat. Stat. 33, 113-120 (1985). MSC 1991: *62E20 60F17 62F12


632.62089 Bardadym, T.A.; Ivanov, A.V.
Asymptotic expansions connected with an estimator of the variance of the observation error for a model of ``signal plus noise''. (English. Russian original)
Theory Probab. Math. Stat. 33, 11-20 (1986); translation from Teor. Veroyatn. Mat. Stat. 33, 11-20 (1985). MSC 1991: *62M09 62M20 62F12


631.60035 Klesov, O.I.
Uniform convergence of random Fourier transforms almost surely. (English. Russian original)
Theory Probab. Math. Stat. 33, 27-33 (1986); translation from Teor. Veroyatn. Mat. Stat. 33, 25-31 (1985). MSC 1991: *60F15 42A20 41A25, Reviewer: C C.Heyde


629.60017 Radchenko, A.N.
The expectation of a geometric measure of a level set of a random function. (English. Russian original)
Theory Probab. Math. Stat. 32, 109-112 (1986); translation from Teor. Veroyatn. Mat. Stat. 32, 99-102 (1985). MSC 1991: *60D05 53C65, Reviewer: V.K.Oganyan


629.60051 Mishura, Yu.S.
A generalized Ito formula for two-parameter martingales. II. (English. Russian original)
Theory Probab. Math. Stat. 32, 77-94 (1986); translation from Teor. Veroyatn. Mat. Stat. 32, 72-85 (1985). MSC 1991: *60G44 60H05 60G60, Reviewer: D.Nualart


629.60053 Mishura, Yu.S.
Canonical representation of two-parameter strong semimartingales. (English. Russian original)
Theory Probab. Math. Stat. 33, 91-95 (1986); translation from Teor. Veroyatn. Mat. Stat. 33, 82-86 (1985). MSC 1991: *60G48 60G60, Reviewer: D.Nualart


629.60056 Malyarenko, A.A.
Spectral resolution of multidimensional homogeneous random fields that are isotropic in some of the variables. (English. Russian original)
Theory Probab. Math. Stat. 32, 69-75 (1986); translation from Teor. Veroyatn. Mat. Stat. 32, 66-72 (1985). MSC 1991: *60G60 60H05 46F99, Reviewer: Yu.S.Mishura


628.60007 Dorogovtsev, A.A.
A characterization of the Gaussian distribution in a Banach space. (English. Russian original)
Theory Probab. Math. Stat. 33, 21-25 (1986); translation from Teor. Veroyatn. Mat. Stat. 33, 20-25 (1985). MSC 1991: *60B11 60G15, Reviewer: S.A.Chobanjan


628.60041 Radchenko, V.N.
The strong law of large numbers for m-orthogonal random variables. (English. Russian original)
Theory Probab. Math. Stat. 33, 111-115 (1986); translation from Teor. Veroyatn. Mat. Stat. 33, 100-103 (1985). MSC 1991: *60F15 60G60 60E15, Reviewer: F.Moricz


628.60049 Omarov, S.O.
On interpolation of a random process with the use of the values and the derivatives of the process at the interpolation nodes. (English. Russian original)
Theory Probab. Math. Stat. 32, 103-107 (1986); translation from Teor. Veroyatn. Mat. Stat. 32, 94-99 (1985). MSC 1991: *60G10 65D05, Reviewer: M.Mirzahmedov


627.60033 Amosova, N.N.
On probabilities of large deviations of sums of dependent random variables. (English. Russian original)
Theory Probab. Math. Stat. 32, 1-7 (1986); translation from Teor. Veroyatn. Mat. Stat. 32, 3-9 (1985). MSC 1991: *60F10 60G50, Reviewer: M.M.Rao


627.60043 Kolchinskij, V.I.
Functional limit theorems and empirical entropy. I. (English. Russian original)
Theory Probab. Math. Stat. 33, 35-45 (1986); translation from Teor. Veroyatn. Mat. Stat. 33, 31-42 (1985). MSC 1991: *60F17 28D20 60F05, Reviewer: E.Haeusler


626.60022 Sil'vestrov, D.S.; Piezynska, G.
On maximally coinciding random variables. (English. Russian original)
Theory Probab. Math. Stat. 32, 113-115 (1986); translation from Teor. Veroyatn. Mat. Stat. 32, 102-104 (1985). MSC 1991: *60E05


626.60026 Kozachenko, Yu.V.; Ostrovskij, E.I.
Banach spaces of random variables of sub-Gaussian type. (English. Russian original)
Theory Probab. Math. Stat. 32, 45-56 (1986); translation from Teor. Veroyatn. Mat. Stat. 32, 42-53 (1985). MSC 1991: *60F05 60G15 60G17, Reviewer: Ph.Nobelis


626.60029 Shklyar, G.A.
On the quadratic variation of a class of processes of Gladyshev type. (English. Russian original)
Theory Probab. Math. Stat. 32, 125-130 (1986); translation from Teor. Veroyatn. Mat. Stat. 32, 103-113 (1985). MSC 1991: *60F15 60G15, Reviewer: R.J.Tomkins


626.60043 Matsak, I.K.
Limit behavior of sums of a multiplicative system. (English. Russian original)
Theory Probab. Math. Stat. 33, 87-89 (1986); translation from Teor. Veroyatn. Mat. Stat. 33, 79-81 (1985). MSC 1991: *60G50 42C10 60G15, Reviewer: A.Gut


625.60008 Ponomarenko, A.I.
Stochastic integrals with respect to generalized random orthogonal measures in Banach spaces. (English. Russian original)
Theory Probab. Math. Stat. 33, 103-110 (1986); translation from Teor. Veroyatn. Mat. Stat. 33, 92-99 (1985). MSC 1991: *60B11 60H05 60G57, Reviewer: S.A.Chobanjan


625.62069 Moklyachuk, M.P.
On a property of one-sided moving average random sequences. (English. Russian original)
Theory Probab. Math. Stat. 32, 95-102 (1986); translation from Teor. Veroyatn. Mat. Stat. 32, 86-93 (1985). MSC 1991: *62M09 60G10 62G05, Reviewer: E.McKenzie


622.60061 Fedorenko, I.V.
Continuous dependence of a solution of a system of stochastic differential equations with unit diffusion on the initial conditions. (English. Russian original)
Theory Probab. Math. Stat. 32, 117-119 (1986); translation from Teor. Veroyatn. Mat. Stat. 32, 105-107 (1985). MSC 1991: *60H10 34A12 60G17


622.60106 Kartashov, N.V.
A refinement of ergodicity estimates of renewal processes and Markov chains. (English. Russian original)
Theory Probab. Math. Stat. 32, 27-34 (1986); translation from Teor. Veroyatn. Mat. Stat. 32, 27-33 (1985). MSC 1991: *60K15 60J10


621.93076 Shajkhet, L.E.
On a necessary condition for optimality of a control for stochastic systems. (English. Russian original)
Theory Probab. Math. Stat. 33, 117-126 (1986); translation from Teor. Veroyatn. Mat. Stat. 33, 104-113 (1985). MSC 1991: *93E20 49K45 60H10