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



Volume 42 and Volume 43


783.42017 Mirzakhmedov, M.A.; Tursunov, G.T.
Functions whose Fourier coefficients are moments of a probability distribution. (English. Russian original)
Theory Probab. Math. Stat. 43, 101-107 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 43, 90-97 (1990). MSC 1991: *42C15 33C25 62E20, Reviewer: F.Moricz


759.60057 Gushchin, A.A.; Mishura, Yu.S.
The Davis inequalities and the Gundy decomposition for two-parameter strong martingales. II. (English. Russian original)
Theory Probab. Math. Stat. 43, 65-76 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 43, 59-69 (1990). MSC 1991: *60G60 60G48 60G40


749.60008 Petunin, Yu.I.; Semejko, N.G.
Computation of the first-order moment measure of a random process of segments on the two dimensional Euclidean sphere. (English. Russian original)
Theory Probab. Math. Stat. 42, 137-144 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 42, 114-122 (1990). MSC 1991: *60D05 60G55, Reviewer: W.Weil


749.60019 Akulov, G.V.
A limit theorem of the type of the law of large numbers for random determinants. (English. Russian original)
Theory Probab. Math. Stat. 43, 1-4 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 43, 3-6 (1990). MSC 1991: *60F05, Reviewer: E.Dettweiler


749.60042 Gushchin, A.A.; Mishura, Yu.S.
The Davis inequalities and the Gundy decomposition for two-parameter strong martingales. I. (English. Russian original)
Theory Probab. Math. Stat. 42, 29-37 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 42, 27-35 (1990). MSC 1991: *60G44 60G48 60G17, Reviewer: E.Dettweiler


749.60047 Omarov, S.O.
The Kotel'nikov-Shannon theorem for nonhomogeneous random fields. (English. Russian original)
Theory Probab. Math. Stat. 42, 133-136 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 42, 111-114 (1990). MSC 1991: *60G60 60G25, Reviewer: L.Pardo


749.60062 Pikovskij, I.E.
Multiple stochastic integrals and their application to the solution of an Ito-Volterra stochastic integral equation. (English. Russian original)
Theory Probab. Math. Stat. 43, 131-137 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 43, 117-123 (1990). MSC 1991: *60H20 60H05 45D05, Reviewer: E.Dettweiler


748.60006 Korolyuk, V.S.; Borovskikh, Yu.V.
An estimate of the closeness of the moments of $UH$-statistics under the conditions of the central limit theorem. (English. Russian original)
Theory Probab. Math. Stat. 42, 55-60 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 42, 48-53 (1990). MSC 1991: *60B12 60F05 60F25, Reviewer: I.S.Borisov


748.60042 Sugakova, E.V.
Exponential asymptotics of sums of a geometric number of independent random variables. (English. Russian original)
Theory Probab. Math. Stat. 42, 161-166 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 42, 135-139 (1990). MSC 1991: *60G50 60F05, Reviewer: N.Kalinauskaite


748.62011 Masol, V.I.
Asymptotic behavior of certain statistics of a $(0,1)$-vector. (English. Russian original)
Theory Probab. Math. Stat. 43, 93-100 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 43, 83-90 (1990). MSC 1991: *62E20


748.62015 Besklinskaya, E.P.; Majboroda, R.E.
On the rate of convergence of certain estimators of the parameters of stationary Gaussian random processes. (English. Russian original)
Theory Probab. Math. Stat. 43, 13-19 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 43, 13-19 (1990). MSC 1991: *62F12 62M09 60G15


748.62016 Girko, V.L.
Consistent $G\sb 8$-estimators for solutions of systems of linear algebraic equations. I. (English. Russian original)
Theory Probab. Math. Stat. 42, 13-22 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 42, 14-22 (1990). MSC 1991: *62F12 15A52 15A06


748.62017 Girko, V.L.
Consistent $G\sb 8$-estimators for solutions of systems of linear algebraic equations. II. (English. Russian original)
Theory Probab. Math. Stat. 43, 51-63 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 43, 48-59 (1990). MSC 1991: *62F12 15A06


748.62018 Majboroda, R.E.
The median estimator of disorder in the case of weakly dependent observations. (English. Russian original)
Theory Probab. Math. Stat. 43, 87-91 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 43, 78-83 (1990). MSC 1991: *62F12 62G30


748.62023 Bondarev, B.V.
Some questions of nonparametric statistics of weakly dependent observations. (English. Russian original)
Theory Probab. Math. Stat. 43, 21-27 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 43, 19-26 (1990). MSC 1991: *62G07 62M09 60G10


748.62026 Majboroda, R.E.
A median test for homogeneity of a sample. (English. Russian original)
Theory Probab. Math. Stat. 42, 95-101 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 42, 82-87 (1990). MSC 1991: *62G10 62G20 62G30


748.62035 Ivanov, A.V.
On the consistency of $l\sb \alpha$-estimators of parameters of a regression function. (English. Russian original)
Theory Probab. Math. Stat. 42, 47-53 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 42, 42-48 (1990). MSC 1991: *62J02 62F12 62E20


748.62047 Molchanov, I.S.
Estimation of the parameters of superpositions of Poisson point processes. (English. Russian original)
Theory Probab. Math. Stat. 43, 123-130 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 43, 111-117 (1990). MSC 1991: *62M09 62F12 62M05


748.62048 Oleshko, T.A.
Asymptotic normality of estimators of parameters of a Gaussian stationary process obtained from characteristics of crossings of different levels. (English. Russian original)
Theory Probab. Math. Stat. 42, 123-131 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 42, 103-110 (1990). MSC 1991: *62M09 62F12 60G10


748.62051 Moklyachuk, M.P.
Minimax extrapolation of random processes for models of $\varepsilon$- pollution. (English. Russian original)
Theory Probab. Math. Stat. 42, 113-121 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 42, 95-103 (1990). MSC 1991: *62M15 62M20


747.60025 Korolyuk, V.S.; Svishchuk, A.V.
Weak convergence of semi-Markov random evolutions in an averaging scheme. (English. Russian original)
Theory Probab. Math. Stat. 42, 61-71 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 42, 53-64 (1990). MSC 1991: *60F05 60K15 93E03, Reviewer: M.Iosifescu


746.60019 Anisimov, V.V.
Limit theorems for evolving accumulation processes. (English. Russian original)
Theory Probab. Math. Stat. 43, 5-11 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 43, 6-13 (1990). MSC 1991: *60F05 60G55, Reviewer: V.M.Kruglov


746.60041 Leonenko, N.N.; Parkhomenko, V.N.
Asymptotic normality of a certain functional of geometric character of a Gaussian random field. (English. Russian original)
Theory Probab. Math. Stat. 42, 83-93 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 42, 72-82 (1990). MSC 1991: *60G15 60G60 60D05, Reviewer: A.V.Bulinskij


746.60047 Matsak, I.K.
Probabilistic estimates of large deviations of sums of independent random variables and martingales. (English. Russian original)
Theory Probab. Math. Stat. 42, 103-111 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 42, 88-95 (1990). MSC 1991: *60G42 60F10 60E15, Reviewer: W.Bryc


746.60055 Kuznetsova, O.M.
An orthogonal expansion of a homogeneous and isotropic random field on a Hilbert space. (English. Russian original)
Theory Probab. Math. Stat. 42, 77-81 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 42, 67-72 (1990). MSC 1991: *60G60 60B11, Reviewer: Yu.S.Mishura


746.60057 Rojtgarts, A.D.
Two-parameter point random fields with nonrandom compensators. (English. Russian original)
Theory Probab. Math. Stat. 42, 145-151 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 42, 122-128 (1990). MSC 1991: *60G60 60G55, Reviewer: Yu.S.Mishura


746.60060 Bondarev, B.V.
On an estimator of the unknown drift coefficient parameter for an equation perturbed by Gaussian noise. (English. Russian original)
Theory Probab. Math. Stat. 42, 1-12 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 42, 3-13 (1990). MSC 1991: *60H10 62F25 62M09, Reviewer: A.Ya.Dorogovtsev


746.60070 Dorogovtsev, A.Ya.
Stationary and periodic solutions of a stochastic difference equation in a Banach space. (English. Russian original)
Theory Probab. Math. Stat. 42, 39-46 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 42, 35-42 (1990). MSC 1991: *60H99 39A10, Reviewer: D.Bobrowski


745.60062 Ryzhov, Yu.M.
Stochastic equations for stationary Gaussian processes. (English. Russian original)
Theory Probab. Math. Stat. 42, 153-159 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 42, 128-134 (1990). MSC 1991: *60H10 60G15 60J65, Reviewer: A.Dale


745.60071 Korolyuk, D.V.
Asymptotic behaviour of the time a receding level is attained by a random walk with delay. (English. Russian original)
Theory Probab. Math. Stat. 42, 73-76 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 42, 64-67 (1990). MSC 1991: *60J15 60F99, Reviewer: L.Lakatos


738.60005 Korolyuk, V.S.; Borovskikh, Yu.V.
The rate of convergence in the central limit theorem for $UH$-statistics. (English)
Theory Probab. Math. Stat. 43, 81-86 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 43, 72-78 (1990). MSC 1991: *60B12 60F05 62F10


738.60010 Braverman, M.Sh.
A probabilistic inequality. (English)
Theory Probab. Math. Stat. 43, 29-34 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 43, 26-32 (1990). MSC 1991: *60E15 60G60


738.60016 Piterbarg, V.I.
A remark on the strong invariance principle for a shot-effect process. (English)
Theory Probab. Math. Stat. 43, 139-141 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 43, 124-126 (1990). MSC 1991: *60F05 60G10


738.60029 Buldygin, V.V.; Solntsev, S.A.
A generalization of the contraction principle in the space of convergent sequences. (English)
Theory Probab. Math. Stat. 43, 35-39 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 43, 32-37 (1990). MSC 1991: *60G17 46B25


738.60030 Velikoivanenko, A.I.
Some properties of realizations of processes and fields of Polya type. (English)
Theory Probab. Math. Stat. 43, 41-50 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 43, 37-47 (1990). MSC 1991: *60G17 60G60 60G10


738.60034 Moklyachuk, M.P.
Minimax filtering of stationary sequences with white noise. (English)
Theory Probab. Math. Stat. 43, 109-122 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 43, 97-111 (1990). MSC 1991: *60G35 62M15 62M20


738.60038 Rojtgarts, A.D.
Two-parameter martingales associated with an integer-valued random measure. (English)
Theory Probab. Math. Stat. 43, 153-160 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 43, 135-142 (1990). MSC 1991: *60G44 60G57


738.60046 Ponomarenko, A.I.
Generalized strongly harmonizable random fields in normed spaces. (English)
Theory Probab. Math. Stat. 43, 143-151 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 43, 127-135 (1990). MSC 1991: *60G60 43A99 22B99


738.60064 Gubeladze, A.K.
On the construction of probability measures of finite-digit Markov chains. (English)
Theory Probab. Math. Stat. 42, 23-27 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 42, 22-27 (1990). MSC 1991: *60J10


738.60065 Komashko, O.V.
The generalized potential of a certain Markov chain. (English)
Theory Probab. Math. Stat. 43, 77-79 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 43, 69-72 (1990). MSC 1991: *60J10 31C99