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



Volume 52 and Volume 53



 951.60056 Moklyachuk, M.P.
Extrapolation of time-homogeneous random fields that are isotropic on a sphere. II. (Ukrainian, English)
Theory Probab. Math. Stat. 53, 137-148 (1996); translation from Teor. Jmovirn. Mat. Stat. 53, 126-137 (1995). MSC 2000: *60G60 62M20 60G25, Reviewer: M.I.Yadrenko
 948.60074 Majdanyuk, R.Ya.; Skorokhod, A.V.
On a class of Markov processes on graphs. (Ukrainian, English)
Theory Probab. Math. Stat. 52, 119-124 (1996); translation from Teor. Jmovirn. Mat. Stat. 52, 112-116 (1995). MSC 2000: *60J80 60J20 60J85, Reviewer: O.K.Zakusilo
 948.60075 Anisimov, V.V.
An averaging principle for near-critical branching processes with semi-Markov switchings. (Ukrainian, English)
Theory Probab. Math. Stat. 52, 13-26 (1996); translation from Teor. Jmovirn. Mat. Stat. 52, 13-25 (1995). MSC 2000: *60J80 60K15 60F17, Reviewer: O.K.Zakusilo
 948.60076 Bojko, R.V.
The asymptotic behavior of critical branching processes with immigration at zero. (Ukrainian, English)
Theory Probab. Math. Stat. 52, 27-32 (1996); translation from Teor. Jmovirn. Mat. Stat. 52, 26-31 (1995). MSC 2000: *60J80, Reviewer: O.K.Zakusilo
 948.60077 Vatutin, V.A.
On the explosiveness of nonhomogeneous age-dependent branching processes. (Russian, English)
Theory Probab. Math. Stat. 52, 37-42 (1996); translation from Teor. Jmovirn. Mat. Stat. 52, 37-40 (1995). MSC 2000: *60J80 60J85 92D10, Reviewer: O.K.Zakusilo
 948.60078 Jelejko, Ya.I.
The asymptotic behavior of the Perron root for a family of branching processes. (Ukrainian, English)
Theory Probab. Math. Stat. 52, 69-74 (1996); translation from Teor. Jmovirn. Mat. Stat. 52, 66-71 (1995). MSC 2000: *60J80 60J85 92D25, Reviewer: O.K.Zakusilo
 946.60006 Korolyuk, V.S.; Yadrenko, M.I.; Kartashov, M.V.; Moskal'tsova, N.V.
On the creative mathematical activity of Valentyn Mychajlovych Shurenkov. (Ukrainian, English)
Theory Probab. Math. Stat. 52, 1-8 (1996); translation from Teor. Jmovirn. Mat. Stat. 52, 1-8 (1995). MSC 2000: *60-03 01A70
 946.60019 Zinchenko, N.M.
The strong invariance principle for the sums of random vectors from the domain of attraction of stable law. (Ukrainian, English)
Theory Probab. Math. Stat. 53, 57-63 (1996); translation from Teor. Jmovirn. Mat. Stat. 53, 51-57 (1995). MSC 2000: *60F15 60F17, Reviewer: Yu.S.Mishura
 946.60080 Silvestrov, D.S.
Exponential asymptotic for a perturbed renewal equation. (Ukrainian, English)
Theory Probab. Math. Stat. 52, 153-162 (1996); translation from Teor. Jmovirn. Mat. Stat. 52, 143-153 (1995). MSC 2000: *60K05 60F17 60K15, Reviewer: A.V.Swishchuk
 946.60082 Kushnir, O.O.
Estimates for the convergence rate of the distribution function of the refusal moment in the high-reliable system GI/G/I/0. (Ukrainian, English)
Theory Probab. Math. Stat. 52, 105-107 (1996); translation from Teor. Jmovirn. Mat. Stat. 52, 99-101 (1995). MSC 2000: *60K10 62K25 90B25, Reviewer: A.V.Swishchuk
 945.60005 Cooper, K.; Kovalenko, I.M.
The upper bound for the number of complete mappings. (Ukrainian, English)
Theory Probab. Math. Stat. 53, 77-83 (1996); translation from Teor. Jmovirn. Mat. Stat. 53, 69-75 (1995). MSC 2000: *60C05 05E15, Reviewer: A.Ya.Olenko
 943.60038 Kurchenko, O.O.
A limit theorem for a Gaussian field. (Ukrainian, English)
Theory Probab. Math. Stat. 53, 85-88 (1996); translation from Teor. Jmovirn. Mat. Stat. 53, 76-79 (1995). MSC 2000: *60G15 60G17 60G60, Reviewer: O.G.Kukush
 943.60053 Jelejko, Ya.I.; Shurenkov, V.M.
Transient phenomena in a class of matrix-valued stochastic evolutions. (Ukrainian, English)
Theory Probab. Math. Stat. 52, 75-79 (1996); translation from Teor. Jmovirn. Mat. Stat. 52, 72-76 (1995). MSC 2000: *60H25 60K15, Reviewer: O.K.Zakusilo
 943.60063 Moskal'tsova, N.V.
Miser classes and asymptotic behavior of potentials of ergodic Markov processes. (Russian, English)
Theory Probab. Math. Stat. 52, 125-127 (1996); translation from Teor. Jmovirn. Mat. Stat. 52, 117-119 (1995). MSC 2000: *60J25 60J45 60J35, Reviewer: A.V.Swishchuk
 943.60064 Kartashov, M.V.
Uniformly ergodic jump Markov processes with bounded intensities. (Ukrainian, English)
Theory Probab. Math. Stat. 52, 91-103 (1996); translation from Teor. Jmovirn. Mat. Stat. 52, 86-98 (1995). MSC 2000: *60J25 60K25 60J75, Reviewer: O.K.Zakusilo
 943.60067 Loebus, J.-U.; Portenko, M.I.
On a class of perturbed generators of stable processes. (Ukrainian, English)
Theory Probab. Math. Stat. 52, 109-118 (1996); translation from Teor. Jmovirn. Mat. Stat. 52, 102-111 (1995). MSC 2000: *60J35 47D03 35S10, Reviewer: A.V.Swishchuk
 943.60092 Jezhov, I.I.; Kadankov, V.Ph.
The investigation of the $\text{G}_{\eta}/\text{G}_{\xi}/1$ system in terms of Spitzer series. (Ukrainian, English)
Theory Probab. Math. Stat. 52, 55-67 (1996); translation from Teor. Jmovirn. Mat. Stat. 52, 53-65 (1995). MSC 2000: *60K25 90B22 68M20, Reviewer: O.K.Zakusilo
 943.60095 Rumyantsev, M.V.
Direct method for calculating characteristics of queueing systems with ``warming up'' at the beginning of bulk service and Poisson input flow. (Ukrainian, English)
Theory Probab. Math. Stat. 52, 141-145 (1996); translation from Teor. Jmovirn. Mat. Stat. 52, 132-136 (1995). MSC 2000: *60K25 90B22 68M20, Reviewer: M.P.Moklyachuk
 943.60099 Zakusilo, O.K.
A classification of storage processes with stable input and output function. (Ukrainian, English)
Theory Probab. Math. Stat. 52, 81-89 (1996); translation from Teor. Jmovirn. Mat. Stat. 52, 77-85 (1995). MSC 2000: *60K30 60G52 60J55, Reviewer: A.V.Swishchuk
 942.60026 Gusak, D.V.
The joint distribution of a process defined by the sum of a random number of summands and its extrema. I. (Ukrainian, English)
Theory Probab. Math. Stat. 52, 43-54 (1996); translation from Teor. Jmovirn. Mat. Stat. 52, 41-52 (1995). MSC 2000: *60G50 60J70 60K10, Reviewer: O.K.Zakusilo
 942.60059 Melnik, S.A.
The existence of solutions of stochastic parabolic equations with power nonlinearities. (Ukrainian, English)
Theory Probab. Math. Stat. 53, 113-118 (1996); translation from Teor. Jmovirn. Mat. Stat. 53, 103-108 (1995). MSC 2000: *60H15 35K10 35R60, Reviewer: A.D.Borisenko
 942.60060 Gorodnij, M.F.
Stationary solutions of a nonlinear two-dimensional stochastic differential equation in Banach space. (Ukrainian, English)
Theory Probab. Math. Stat. 53, 43-49 (1996); translation from Teor. Jmovirn. Mat. Stat. 53, 39-45 (1995). MSC 2000: *60H15 34G20 60H20, Reviewer: A.D.Borisenko
 942.60078 Skorokhod, A.V.
On the L{e}vy measure for measure-valued branching processes. (Ukrainian, English)
Theory Probab. Math. Stat. 52, 163-169 (1996); translation from Teor. Jmovirn. Mat. Stat. 52, 154-160 (1995). MSC 2000: *60J80 60G25, Reviewer: O.K.Zakusilo
 941.60011 Ponomarenko, A.I.
Spectral analysis of generalized weakly homogeneous random fields on nuclear spaces. (Ukrainian, English)
Theory Probab. Math. Stat. 53, 161-171 (1996); translation from Teor. Jmovirn. Mat. Stat. 53, 149-159 (1995). MSC 2000: *60B11 60G57 28B05, Reviewer: M.P.Moklyachuk
 941.60019 Girko, V.L.
Limit theorems for permanents. (Ukrainian, English)
Theory Probab. Math. Stat. 53, 33-42 (1996); translation from Teor. Jmovirn. Mat. Stat. 53, 29-38 (1995). MSC 2000: *60B99 60F99, Reviewer: O.G.Kukush
941.60033 Mijnheer, Joop
Limit theorems for sums of independent random variables in the domain of attraction of a stable law: A survey. (English)
Theory Probab. Math. Stat. 53, 119-125 (1996) and Teor. Jmovirn. Mat. Stat. 53, 109-115 (1995). MSC 2000: *60E07 60F15, Reviewer: N.M.Zinchenko
 941.60034 Pasenchenko, O.Yu.
Sufficient conditions for the characteristic function of a two-dimensional isotropic distribution. (Ukrainian, English)
Theory Probab. Math. Stat. 53, 149-152 (1996); translation from Teor. Jmovirn. Mat. Stat. 53, 138-141 (1995). MSC 2000: *60E10, Reviewer: A.Ya.Olenko
 941.60037 Seneta, Eugene; Chen, Tuhao
Frechet optimality of upper bivariate Bonferroni-type bounds. (Ukrainian, English)
Theory Probab. Math. Stat. 52, 147-152 (1996); translation from Teor. Jmovirn. Mat. Stat. 52, 137-142 (1995). MSC 2000: *60E15, Reviewer: M.P.Moklyachuk
 941.60043 Num, E.; Rosalskyj, A.
On the rate of convergence of series of random variables. (Ukrainian, English)
Theory Probab. Math. Stat. 52, 129-140 (1996); translation from Teor. Jmovirn. Mat. Stat. 52, 120-131 (1995). MSC 2000: *60F05 60F15, Reviewer: A.Ya.Olenko
 941.60044 Leonenko, N.N.; Parkhomenko, V.V.
Asymptotic properties of solutions of the Cauchy problem for the Burgers' equation with random initial conditions. (Ukrainian, English)
Theory Probab. Math. Stat. 53, 89-95 (1996); translation from Teor. Jmovirn. Mat. Stat. 53, 80-86 (1995). MSC 2000: *60F05 70L05 35Q53, Reviewer: A.Ya.Olenko
 941.60052 Bondarev, B.V.
Stochastic version of the theorems of V. P. Maslov. (Ukrainian, English)
Theory Probab. Math. Stat. 53, 7-17 (1996); translation from Teor. Jmovirn. Mat. Stat. 53, 6-16 (1995). MSC 2000: *60F10, Reviewer: A.D.Borisenko
 941.60053 Lin'kov, Yu.M.; Medvedeva, M.I.
Limit theorems of large deviations for the logarithm of the likelihood ratio. (Ukrainian, English)
Theory Probab. Math. Stat. 53, 97-106 (1996); translation from Teor. Jmovirn. Mat. Stat. 53, 87-96 (1995). MSC 2000: *60F10 62F05 62A01, Reviewer: Yu.S.Mishura
 941.60057 Sharakhmedov, Sh.
The strong law of large numbers for dependent random variables. (Russian, English)
Theory Probab. Math. Stat. 53, 183-189 (1996); translation from Teor. Jmovirn. Mat. Stat. 53, 168-174 (1995). MSC 2000: *60F15, Reviewer: Yu.S.Mishura
 941.60062 Pogany, T.; Perunicic, P.
On the sampling theorem for homogeneous random fields. (Ukrainian, English)
Theory Probab. Math. Stat. 53, 153-159 (1996); translation from Teor. Jmovirn. Mat. Stat. 53, 142-148 (1995). MSC 2000: *60G60 60G99, Reviewer: A.Ya.Olenko
 941.60073 Swerdan, M.L.; Tsarkov, E.F.
On the stability of linear impulse stochastic systems. (Ukrainian, English)
Theory Probab. Math. Stat. 53, 173-181 (1996); translation from Teor. Jmovirn. Mat. Stat. 53, 160-167 (1995). MSC 2000: *60H10 34G20 34F05, Reviewer: A.D.Borisenko
 940.46014 Buldygin, V.V.; Shurenkova, A.V.
On a criterion of the compactness in the space $L_p. $ (Ukrainian, English)
Theory Probab. Math. Stat. 52, 33-37 (1996); translation from Teor. Jmovirn. Mat. Stat. 52, 32-36 (1995). MSC 2000: *46E30 46B50, Reviewer: A.Ya.Olenko
 939.62099 Buldygin, V.V.; Dykhovichnyj, O.O.
On some singular integrals and their applications to problems of statistical estimation. (Ukrainian, English)
Theory Probab. Math. Stat. 53, 19-31 (1996); translation from Teor. Jmovirn. Mat. Stat. 53, 17-28 (1995). MSC 2000: *62M40 62G20 60F17, Reviewer: R.E.Maiboroda
 937.01012 Kotov, V.M.
Reminiscences Memoirs about my bosom friend. (Ukrainian, English)
Theory Probab. Math. Stat. 52, 9-12 (1996); translation from Teor. Jmovirn. Mat. Stat. 52, 9-12 (1995). MSC 2000: *01A70 60-03
 937.62065 Bardadym, T.O.
The structure of polynomials of asymptotic expansions of the least square estimate and variance estimate. (Ukrainian, English)
Theory Probab. Math. Stat. 53, 1-6 (1996); translation from Teor. Jmovirn. Mat. Stat. 53, 1-5 (1995). MSC 2000: *62J02 62J99, Reviewer: O.G.Kukush
 934.62084 Maiboroda, R.E.
The asymptotic normality of Baxter-type estimates for parameters of nonstationary processes. (Ukrainian, English)
Theory Probab. Math. Stat. 53, 107-112 (1996); translation from Teor. Jmovirn. Mat. Stat. 53, 97-102 (1995). MSC 2000: *62M05 62G20 60F05, Reviewer: A.Ya.Olenko
 pre991.09476 Kozachenko, Yu.V.; Endzhyrgli, M.V.
Justification of application of the Fourier method to boundary-value problems subject to random initial conditions. II. (Ukrainian, English)
Theory Probab. Math. Stat. 53, 65-75 (1996); translation from Teor. Jmovirn. Mat. Stat. 53, 58-68 (1995). MSC 2000: *60G99 35L20 35L15, Reviewer: R.E.Maiboroda