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



Volume 54 and Volume 55

 

927.60096 Glushak, A.V.; Orsingher, E.
General solution of a hyperbolic equation arising in the study of motion with random acceleration. (English. Russian original)
Theory Probab. Math. Stat. 55, 49-53 (1997); translation from Teor. Jmovirn. Mat. Stat. 55, 50-54 (1996). MSC 1991: *60K99, Reviewer: N.M.Zinchenko


927.62059 Maiboroda, R.E.
Correlation analysis of mixtures. I. (English. Ukrainian original)
Theory Probab. Math. Stat. 54, 105--114 (1997); translation from Teor. Jmovirn. Mat. Stat. 54, 99--108 (1996). MSC 1991: *62H20 62G20 60F17, Reviewer: A.Ya.Olenko


927.62060 Maiboroda, R.E.
Correlation analysis of mixtures. II. (English. Ukrainian original)
Theory Probab. Math. Stat. 55, 129-133 (1997); translation from Teor. Jmovirn. Mat. Stat. 55, 125-129 (1996). MSC 1991: *62H20 62G09 60F17, Reviewer: M.P.Moklyachuk


927.62096 Buldygin, V.V.; Fu, Lee.
On asymptotic normality of estimates of impulse response function for linear systems. I. (English. Russian original)
Theory Probab. Math. Stat. 54, 17--24 (1997); translation from Teor. Jmovirn. Mat. Stat. 54, 16--24 (1996). MSC 1991: *62M20 62G20 60G35, Reviewer: A.Ya.Olenko


927.62097 Buldygin, V.V.; Fu, Li
On asymptotic normality of estimators of unit impulse responses of linear systems. II. (English. Russian original)
Theory Probab. Math. Stat. 55, 29-36 (1997); translation from Teor. Jmovirn. Mat. Stat. 55, 30-37 (1996). MSC 1991: *62M20 62G20 60G35, Reviewer: A.Ya.Olenko


926.60011 Yurachkivskij, A.P.
The law of large numbers for the measure of a region covered by a flow of random sets. (English. Ukrainian original)
Theory Probab. Math. Stat. 55, 187-192 (1997); translation from Teor. Jmovirn. Mat. Stat. 55, 173-177 (1996). MSC 1991: *60A10 60F05, Reviewer: N.M.Zinchenko


pre990.45053 Ponomarenko, A.I.
Random linear functionals of the second order.I. (Ukrainian)
Teor. Jmovirn. Mat. Stat. 54, 137-146 (1996). MSC 1991: *60B11 60G60 46F25, Reviewer: M.P.Moklyachuk


pre990.45057 Matsak, I.K.
Weak convergence of extremal values of independent Gaussian random elements with values in $l_p, 1\leq p <\infty,$ spaces. (Ukrainian)
Teor. Jmovirn. Mat. Stat. 54, 109-115 (1996). MSC 1991: *60B12 60F05, Reviewer: M.P.Moklyachuk


pre990.45068 Bondarev, B.V.
On large deviation in averaging elliptic systems of periodical random medium. (Ukrainian)
Teor. Jmovirn. Mat. Stat. 54, 10-15 (1996). MSC 1991: *60F10 35J55 60H15, Reviewer: M.P.Moklyachuk


pre990.45062 Koval', V.O.
On the law of the iterated logarithm for Gaussian sequences and its applications. (Ukrainian)
Teor. Jmovirn. Mat. Stat. 54, 66-71 (1996). MSC 1991: *60F15 62G15 60J15, Reviewer: M.P.Moklyachuk


pre990.45051 Husanboev, Ya.M.; Rahimov, G.M.
On convergence of processes determined by difference scheme to diffusion process. (Russian)
Teor. Jmovirn. Mat. Stat. 54, 155-162 (1996). MSC 1991: *60F17 60H10 60J60, Reviewer: Yu.S.Mishura


pre990.44553 Ponomarenko, O.I.
Second-order random linear functionals. II. (English. Ukrainian original)
Theory Probab. Math. Stat. 55, 165-175 (1997); translation from Teor. Jmovirn. Mat. Stat. 55, 154-164 (1996). MSC 1991: *60G12 60G60 60B11, Reviewer: M.P.Moklyachuk


pre990.45050 Sharakhmedov, Sh.; Yuldashev, I.Zh.
Estimation of some characteristics of random walk generating a martingale. (Russian)
Teor. Jmovirn. Mat. Stat. 54, 163-169 (1996). MSC 1991: *60G42 60F15, Reviewer: Yu.S.Mishura


pre990.45056 Mishura, Yu.S.
Some properties of local times for Markov random fields. (Ukrainian)
Teor. Jmovirn. Mat. Stat. 54, 116-121 (1996). MSC 1991: *60G60 60J25, Reviewer: M.P.Moklyachuk


pre990.45061 Kozachenko, Y.V.; Trigub, S.G.
Application of the Fourier approach to boundary problems with random initial conditions. (Ukrainian)
Teor. Jmovirn. Mat. Stat. 54, 72-81 (1996). MSC 1991: *60G60 35L20, Reviewer: R.E.Maiboroda


pre990.45065 Illichova, L.M.; Leonenko, M.M.
Asymptotic properties of sample mean for the class of ~non-Gaussian random fields. (Ukrainian)
Teor. Jmovirn. Mat. Stat. 54, 38-46 (1996). MSC 1991: *60G60 60G18 62F05,62E20, Reviewer: A.Ya.Olenko


pre990.45052 Filonov, Yu.P.
Stability of recurrence and dissipativity of general kernels. (Ukrainian)
Teor. Jmovirn. Mat. Stat. 54, 147-154 (1996). MSC 1991: *60J05 60J10 60J45, Reviewer: M.P.Moklyachuk


pre990.45066 Voina, O.A.; Sidorov, M.V.-S.
Estimating of the conditional transition probabilities for partially observed Markov chains. (Ukrainian)
Teor. Jmovirn. Mat. Stat. 54, 25-37 (1996). MSC 1991: *60J27 62M05 93E11, Reviewer: V.I.Masol


pre990.45064 Kartashov, M.V.
Calculation and estimation of the index of exponential ergodicity of general Markov processes and Markov chains with recurrent kernels. (Ukrainian)
Teor. Jmovirn. Mat. Stat. 54, 47-57 (1996). MSC 1991: *60J35 60J25 60J27, Reviewer: M.P.Moklyachuk


pre990.45055 Osipchuk, M.M.
Diffusion with nonregular drift. (Ukrainian)
Teor. Jmovirn. Mat. Stat. 54, 122-128 (1996). MSC 1991: *60J60 60E99, Reviewer: Yu.S.Mishura


pre990.45059 Lyashenko, O.I.
Averaging and diffusion approximation of the recurrent sequences of the urn scheme. (Ukrainian)
Teor. Jmovirn. Mat. Stat. 54, 92-98 (1996). MSC 1991: *60J70 62E17, Reviewer: V.I.Masol


pre990.45060 Lin'kov, Yu.M.
Distinguishing autoregressive processes with zero asymptotic level. (Ukrainian)
Teor. Jmovirn. Mat. Stat. 54, 82-91 (1996). MSC 1991: *62F05 62M10 60F10, Reviewer: V.I.Masol


pre990.45054 Petunin, Yu.I.
An approach to the problem of construction of statistical tests. (Ukrainian)
Teor. Jmovirn. Mat. Stat. 54, 129-136 (1996). MSC 1991: *62G10 62H15 62F03, Reviewer: M.P.Moklyachuk


pre990.45063 Knopov, P.S.; Knopov, O.P.
On some nonparametric regression function estimators. (Ukrainian)
Teor. Jmovirn. Mat. Stat. 54, 58-65 (1996). MSC 1991: *62J02 93E12, Reviewer: R.E.Maiboroda


pre990.45069 Bardadim, T.O.; Ivanov, O.V.
Asymptotic expansion of cross-validation method functional. (Ukrainian)
Teor. Jmovirn. Mat. Stat. 54, 1-9 (1996). MSC 1991: *62J02 62J99, Reviewer: R.E.Maiboroda


924.60060 Vojna, O.A.
Conditional distributions for discontinuous processes in a random medium. (English. Ukrainian original)
Theory Probab. Math. Stat. 55, 37-48 (1997); translation from Teor. Jmovirn. Mat. Stat. 55, 38-49 (1996). MSC 1991: *60J27 93E11, Reviewer: Yu.V.Kozachenko


923.60003 Ivanoff, B.Gail; Lin, Yan-Xia; Merzbach, Ely
Weak convergence of set-indexed point processes and Poisson processes. (English)
Theory Probab. Math. Stat. 55, 79-91 (1997) and Teor. Jmovirn. Mat. Stat. 55, 77-89 (1996). MSC 1991: *60B10 60G55 60G48, Reviewer: N.M.Zinchenko


923.60006 Matsak, I.K.
On limit points of a sequence of extreme values of normal random elements in Banach spaces with unconditional basis. (English. Ukrainian original)
Theory Probab. Math. Stat. 55, 143-151 (1997); translation from Teor. Jmovirn. Mat. Stat. 55, 136-143 (1996). MSC 1991: *60B12 60F15, Reviewer: N.M.Zinchenko


923.60024 Matula, Przemyslaw
Probability and moment bounds for sums of negatively associated random variables. (English. Ukrainian original)
Theory Probab. Math. Stat. 55, 135-141 (1997); translation from Teor. Jmovirn. Mat. Stat. 55, 130-135 (1996). MSC 1991: *60E15 60F10, Reviewer: N.M.Zinchenko


923.60036 Bondarev, B.V.
The application of the Bernstein inequality to estimating the parameter of the first order autoregression. (English. Ukrainian original)
Theory Probab. Math. Stat. 55, 13-18 (1997); translation from Teor. Jmovirn. Mat. Stat. 55, 13-19 (1996). MSC 1991: *60F10, Reviewer: A.Ya.Olenko


923.60038 Koval', T.L.
An estimate for the rate of convergence in the central limit theorem for martingale fields. (English. Ukrainian original)
Theory Probab. Math. Stat. 55, 107-110 (1997); translation from Teor. Jmovirn. Mat. Stat. 55, 103-106 (1996). MSC 1991: *60F15 60G15 60G60, Reviewer: A.Ya.Olenko


923.60053 Radchenko, V.M.
Approximation of integrals with respect to a random measure by integrals with respect to a real measure. (English. Ukrainian original)
Theory Probab. Math. Stat. 55, 177-179 (1997); translation from Teor. Jmovirn. Mat. Stat. 55, 165-166 (1996). MSC 1991: *60G57, Reviewer: M.P.Moklyachuk


923.60055 Mishura, Yu.S.
Coordinate point fields and their compensators. I. (English. Ukrainian original)
Theory Probab. Math. Stat. 55, 153-159 (1997); translation from Teor. Jmovirn. Mat. Stat. 55, 144-150 (1996). MSC 1991: *60G60 60G44 60G55, Reviewer: M.P.Moklyachuk


923.60056 Pasenchenko, O.Yu.
Conditions for a radial function in $R^3$ to be a characteristic function. (English. Ukrainian original)
Theory Probab. Math. Stat. 55, 161-163 (1997); translation from Teor. Jmovirn. Mat. Stat. 55, 151-153 (1996). MSC 1991: *60G60 60E10, Reviewer: A.Ya.Olenko


923.60058 Anisimov, V.V.
Asymptotic behavior of trajectories of extreme sets of random functions and stochastic estimation. (English. Ukrainian original)
Theory Probab. Math. Stat. 55, 1-12 (1997); translation from Teor. Jmovirn. Mat. Stat. 55, 1-12 (1996). MSC 1991: *60G70 62F12 60F15, Reviewer: Yu.V.Kozachenko


923.60071 Kaminskij, A.B.
An extended stochastic calculus for Poisson random measures. (English. Ukrainian original)
Theory Probab. Math. Stat. 55, 93-105 (1997); translation from Teor. Jmovirn. Mat. Stat. 55, 90-102 (1996). MSC 1991: *60H10 60H05, Reviewer: Yu.V.Kozachenko


923.60083 Bratijchuk, M.S.
Properties of operators of additive Markov processes. I. (English. Ukrainian original)
Theory Probab. Math. Stat. 55, 19-28 (1997); translation from Teor. Jmovirn. Mat. Stat. 55, 20-29 (1996). MSC 1991: *60J10 47B80 60J55, Reviewer: Yu.V.Kozachenko


923.60092 Kushnir, O.O.
A study of a highly reliable system with protection by the Renyi theorem. (English. Ukrainian original)
Theory Probab. Math. Stat. 55, 121-128 (1997); translation from Teor. Jmovirn. Mat. Stat. 55, 117-124 (1996). MSC 1991: *60K10 90B25, Reviewer: Yu.V.Kozachenko


923.60094 Zakusilo, O.K.; Dotsenko, S.I.
The optimal allocation of servers on an interval. (English. Ukrainian original)
Theory Probab. Math. Stat. 55, 75-78 (1997); translation from Teor. Jmovirn. Mat. Stat. 55, 73-76 (1996). MSC 1991: *60K25 68M20 90B22, Reviewer: Yu.V.Kozachenko


921.62025 Ekstroem, Magnus
Strong consistency of the maximum spacing estimate. (English)
Theory Probab. Math. Stat. 55, 55-73 (1997) and Teor. Jmovirn. Mat. Stat. 55, 55-72 (1996). MSC 1991: *62F12 62F10, Reviewer: R.E.Maiboroda


921.62037 Sugakova, O.V.
A search for change points in a flow of independent observations. (English. Ukrainian original)
Theory Probab. Math. Stat. 181-186 (1997); translation from Teor. Jmovirn. Mat. Stat. 55, 167-172 (1996). MSC 1991: *62G05 62G20, Reviewer: R.E.Maiboroda


921.62111 Kozachenko, Yu.V.; Majboroda, R.E.
Estimation in the correlation-regression model and the dominant measure method. (English. Ukrainian original)
Theory Probab. Math. Stat. 55, 111-120 (1997); translation from Teor. Jmovirn. Mat. Stat. 55, 107-116 (1996). MSC 1991: *62M10 62G09 60G15, Reviewer: M.P.Moklyachuk