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



Volume 57

1

Zbl 0948.60079 Kartashov, M.V.
Calculation of the exponential ergodicity exponent for birth-death processes.
(English. Ukrainian original)
Theory Probab. Math. Stat. 57, 53-60 (1998); translation from Teor. Jmovirn. Mat. Stat. 57, 51-59 (1997). MSC2000: *60J80 60K25 60K20, Reviewer: A.V.Swishchuk (Ky\" iv)

2
Zbl 0943.60022 Zinchenko, N.M.
Generalization of strong invariance principle for multiple sums of random variables in the domain of attraction of a stable law.
(English. Ukrainian original)
Theory Probab. Math. Stat. 57, 33-42 (1998); translation from Teor. Jmovirn. Mat. Stat. 57, 31-40 (1997). MSC2000: *60F15 60G50 60E07, Reviewer: A.V.Swishchuk (Ky\" iv)

3
Zbl 0943.60066 Voina, O.A.
Interpolation equations for some classes of Markov processes.
(English. Ukrainian original)
Theory Probab. Math. Stat. 57, 19-31 (1998); translation from Teor. Jmovirn. Mat. Stat. 57, 18-30 (1997). MSC2000: *60J27 93E11 62M05, Reviewer: A.V.Swishchuk (Ky\" iv)

4
Zbl 0940.60058 Moklyachuk, M.P.
Extrapolation of stationary sequences from observations with noise.
(English. Ukrainian original)
Theory Probab. Math. Stat. 57, 133-141 (1998); translation from Teor. Jmovirn. Mat. Stat. 57, 125-133 (1997). MSC2000: *60G25 62M20 60G35, Reviewer: A.V.Swishchuk (Ky\" iv)

5
Zbl 0940.60047 Kozachenko, Yu.V.
Conditions for convergence and rate of convergence of random series in $K_\sigma$-spaces of random variables. II.
(English. Ukrainian original)
Theory Probab. Math. Stat. 57, 69-83 (1998); translation from Teor. Jmovirn. Mat. Stat. 57, 67-80 (1997). MSC2000: *60G07 60G10 60G17, Reviewer: A.V.Swishchuk (Ky\" iv)

6
Zbl 0940.60070 Kaminskyj, A.B.
White-noise approach to stochastic integration for a Poisson random measure.
(English. Ukrainian original)
Theory Probab. Math. Stat. 57, 43-52 (1998); translation from Teor. Jmovirn. Mat. Stat. 57, 41-50 (1997). MSC2000: *60H05 60G57 60J65, Reviewer: A.V.Swishchuk (Ky\" iv)

7
Zbl 0939.60073 Swishchuk, A.V.; Lukin, O.E.
Interpolation and extrapolation of random evolution processes.
(English. Ukrainian original)
Theory Probab. Math. Stat. 57, 175-179 (1998); translation from Teor. Jmovirn. Mat. Stat. 57, 163-167 (1997). MSC2000: *60H20 62P05 91B30, Reviewer: M.P.Moklyachuk (Ky\" iv)

8
Zbl 0939.60034 Yurachkivs'kyj, A.P.
Poisson-type limit theorems for conditional measures of random sets.
(English. Ukrainian original)
Theory Probab. Math. Stat. 57, 181-186 (1998); translation from Teor. Jmovirn. Mat. Stat. 57, 168-173 (1997). MSC2000: *60G57 60D05 60F17, Reviewer: A.V.Swishchuk (Ky\" iv)

9
Zbl 0939.60033 Radchenko, V.M.
De la Vallée-Poussin theorem for the integrals over general random measures.
(English. Ukrainian original)
Theory Probab. Math. Stat. 57, 171-173 (1998); translation from Teor. Jmovirn. Mat. Stat. 57, 160-162 (1997). MSC2000: *60G57 60H05, Reviewer: A.V.Swishchuk (Ky\" iv)

10
Zbl 0939.60083 Prats'ovytyj, M.V.; Leshchyns'kyj, O.L.
Properties of random variables defined by the distributions of elements of their $\widetilde Q_{\infty}$-representation.
(English. Ukrainian original)
Theory Probab. Math. Stat. 57, 143-148 (1998); translation from Teor. Jmovirn. Mat. Stat. 57, 134-139 (1997). MSC2000: *60J10 60A10 28A78, Reviewer: A.V.Swishchuk (Ky\" iv)

11
Zbl 0939.60044 Mishura, Yu.S.
Coordinate point fields and their compensators. II.
(English. Ukrainian original)
Theory Probab. Math. Stat. 57, 123-131 (1998); translation from Teor. Jmovirn. Mat. Stat. 57, 116-124 (1997). MSC2000: *60G60 60G44 60G55, Reviewer: A.V.Swishchuk (Ky\" iv)

12
Zbl 0939.60052 Makhno, S.Ya.
Optimal control for a stochastic equation with a small parameter.
(English. Ukrainian original)
Theory Probab. Math. Stat. 57, 115-121 (1998); translation from Teor. Jmovirn. Mat. Stat. 57, 109-115 (1997). MSC2000: *60H10 60G35 35K55, Reviewer: A.V.Swishchuk (Ky\" iv)

13
Zbl 0939.60017 Lin'kov, Yu.M.
Large deviation theorems and their applications.
(English. Ukrainian original)
Theory Probab. Math. Stat. 57, 101-107 (1998); translation from Teor. Jmovirn. Mat. Stat. 57, 96-102 (1997). MSC2000: *60F10 62F05 62G10, Reviewer: A.V.Swishchuk (Ky\" iv)

14
Zbl 0939.60079 Bratijchuk, M.S.
Properties of operators of additive Markov processes. II.
(English. Ukrainian original)
Theory Probab. Math. Stat. 57, 1-10 (1998); translation from Teor. Jmovirn. Mat. Stat. 57, 1-9 (1997). MSC2000: *60J05 60K15 47A10, Reviewer: A.V.Swishchuk (Ky\" iv)

15
Zbl 0938.37007 De la Rue, T.; Ladouceur, S.; Peskir, G.; Weber, M.
On the central limit theorem for aperiodic dynamical systems and application.
(English)
Theory Probab. Math. Stat. 57, 149-169 (1998) and Teor. Jmovirn. Mat. Stat. 57, 140-159 (1997). MSC2000: *37C27 37H10 60F05, Reviewer: A.V.Swishchuk (Ky\" iv)

16
Zbl 0935.62058 Maiboroda, R.E.; Sugakova, O.V.
A fast algorithm for detecting multiple changing moments.
(English. Ukrainian original)
Theory Probab. Math. Stat. 57, 109-114 (1998); translation from Teor. Jmovirn. Mat. Stat. 57, 103-108 (1997). MSC2000: *62G20 65C60 62G99, Reviewer: A.V.Swishchuk (Ky\" iv)

17
Zbl 0935.62053 Conti, Pier Luigi
On goodness-of-fit tests for lattice distributions.
(English)
Theory Probab. Math. Stat. 57, 85-99 (1998) and Teor. Jmovirn. Mat. Stat. 57, 81-95 (1997). MSC2000: *62G10 62G20 62F05, Reviewer: A.V.Swishchuk (Ky\" iv)

18
Zbl 0935.62096 Knopov, P.S.
On a nonstationary model of $M$-estimators with discrete time.
(English. Ukrainian original)
Theory Probab. Math. Stat. 57, 61-67 (1998); translation from Teor. Jmovirn. Mat. Stat. 57, 60-66 (1997). MSC2000: *62M10 62F12 62J02, Reviewer: A.V.Swishchuk (Ky\" iv)

19
Zbl 0933.62057 Vainer, B.P.; Kukush, O.G.
The consistency of $M$-estimates constructed from a concave weight function.
(English. Ukrainian original)
Theory Probab. Math. Stat. 57, 11-18 (1998); translation from Teor. Jmovirn. Mat. Stat. 57, 10-17 (1997). MSC2000: *62J02 62G35 62G05, Reviewer: A.V.Swishchuk (Ky\" iv)




Volume 58

1

Zbl 1063.01503 Motsa, A.I.
80th birthday of professor Yurij Petrovithch Studnev.
(Ukrainian, English)
Teor. Jmovirn. Mat. Stat. 58, 107-111 (2003); and Theory Probab. Math. Stat. 68, 117-122 (2003). MSC2000: *01A70 60-03, Reviewer: A. D. Borisenko (Ky\"iv)

2
Zbl 0959.62083 Leonenko, N.N.; Moldavs'ka, E.M.
Minimal contrast estimators of a parameter of the spectral density of continuous time random fields.
(English. Russian original)
Theory Probab. Math. Stat. 58, 101-112 (1999); translation from Teor. Jmovirn. Mat. Stat. 58, 92-103 (1998). MSC2000: *62M40 62F12 62M10

3
Zbl 0943.60023 Hwang, K.S.; Choi, Y.K.
Moduli of continuity for a two-parameter Gaussian process on rectangles in the unit square.
(English)
Theory Probab. Math. Stat. 58, 171-185 (1999) and Teor. Jmovirn. Mat. Stat. 58, 158-172 (1998). MSC2000: *60F15 60G17, Reviewer: Yu.V.Kozachenko (Ky\" iv)

4
Zbl 0943.60025 Klesov, O.I.; Rychlik, Z.
Strong law of large numbers on partially ordered sets.
(English. Russian original)
Theory Probab. Math. Stat. 58, 35-41 (1999); translation from Teor. Jmovirn. Mat. Stat. 58, 31-37 (1998). MSC2000: *60F15 60G50, Reviewer: Yu.V.Kozachenko (Ky\" iv)

5
Zbl 0943.60024 Zinchenko, N.M.
Erd\H{o}s-Rényi laws and the strong invariance principle.
(English. Ukrainian original)
Theory Probab. Math. Stat. 58, 27-33 (1999); translation from Teor. Jmovirn. Mat. Stat. 58, 24-30 (1998). MSC2000: *60F15 60G30, Reviewer: Yu.V.Kozachenko (Ky\" iv)

6
Zbl 0942.60040 Kozachenko, Yu.V.; Pashko, A.O.
Accuracy of simulation of stochastic processes in norms of Orlicz spaces. I.
(English. Ukrainian original)
Theory Probab. Math. Stat. 58, 51-66 (1999); translation from Teor. Jmovirn. Mat. Stat. 58, 45-60 (1998). MSC2000: *60G99 60E15, Reviewer: M.P.Moklyachuk (Ky\" iv)

7
Zbl 0941.60083 Pratsevityj, M.V.
Fractal properties of distributions of Cantor-type random variables whose $Q$-digits form a homogeneous Markov chain.
(English. Ukrainian original)
Theory Probab. Math. Stat. 58, 151-160 (1999); translation from Teor. Jmovirn. Mat. Stat. 58, 139-148 (1998). MSC2000: *60J10 60E05, Reviewer: Yu.V.Kozachenko (Ky\" iv)

8
Zbl 0941.60089 Korolyuk, V.S.; Limnios, N.
A singular perturbation approach for Liptser's functional limit theorem and some extensions. (English)
Theory Probab. Math. Stat. 58, 83-87 (1999) and Teor. Jmovirn. Mat. Stat. 58, 76-80 (1998). MSC2000: *60J25 60F17, Reviewer: Yu.V.Kozachenko (Ky\" iv)

9
Zbl 0940.60051 Seleznev, Oleg
Distribution of extremes and simulation of Gaussian processes.
(English)
Theory Probab. Math. Stat. 58, 161-169 (1999) and Teor. Jmovirn. Mat. Stat. 58, 149-157 (1998). MSC2000: *60G15 60G17, Reviewer: Yu.V.Kozachenko (Ky\" iv)

10
Zbl 0940.60082 Mishura, Yu.S.; Lavrentiev, O.S.
Stochastic differential equations in Hilbert space: Properties of solutions, limit theorems, asymptotic expansions with respect to a small parameter. I.
(English. Ukrainian original)
Theory Probab. Math. Stat. 58, 123-137 (1999); translation from Teor. Jmovirn. Mat. Stat. 58, 114-127 (1998). MSC2000: *60H10 60G44, Reviewer: Yu.V.Kozachenko (Ky\" iv)

11
Zbl 0940.60083 Kulinich, G.L.
Qualitative analysis of the behavior of a harmonic oscillator under the action of white or shot noises.
(English. Ukrainian original)
Theory Probab. Math. Stat. 58, 89-99 (1999); translation from Teor. Jmovirn. Mat. Stat. 58, 81-91 (1998). MSC2000: *60H10 60J65, Reviewer: Yu.V.Kozachenko (Ky\" iv)

12
Zbl 0940.60048 Kozachenko, Yu.V.; Stus, O.V.
Generalized strictly pre-Gaussian stochastic processes.
(English. Ukrainian original)
Theory Probab. Math. Stat. 58, 67-81 (1999); translation from Teor. Jmovirn. Mat. Stat. 58, 61-75 (1998). MSC2000: *60G07 60E15, Reviewer: M.P.Moklyachuk (Ky\" iv)

13
Zbl 0939.60045 Yadrenko, M.I.; Khalikulov, S.I.
On approximation of homogeneous and isotropic random fields with bounded spectrum.
(English. Ukrainian original)
Theory Probab. Math. Stat. 58, 195-199 (1999); translation from Teor. Jmovirn. Mat. Stat. 58, 180-183 (1998). MSC2000: *60G60 62M40, Reviewer: Yu.V.Kozachenko (Ky\" iv)

14
Zbl 0939.60035 Yurachkivs'kyj, A.P.
A functional limit theorem for random reliefs.
(English. Ukrainian original)
Theory Probab. Math. Stat. 58, 187-193 (1999); translation from Teor. Jmovirn. Mat. Stat. 58, 173-179 (1998). MSC2000: *60G57 60F17, Reviewer: Yu.V.Kozachenko (Ky\" iv)

15
Zbl 0939.60032 Petunin, Yu.I.; Semejko, M.G.
Stationary random point processes with respect to the action of transformation groups in bounded spaces.
(English. Ukrainian original)
Theory Probab. Math. Stat. 58, 139-149 (1999); translation from Teor. Jmovirn. Mat. Stat. 58, 128-138 (1998). MSC2000: *60G55 60G10, Reviewer: Yu.V.Kozachenko (Ky\" iv)

16
Zbl 0939.60025 Weisz, F.; Mishura, Yu.S.
Inequalities for vector-valued martingales with continuous time. (English. Ukrainian original)
Theory Probab. Math. Stat. 58, 9-25 (1999); translation from Teor. Jmovirn. Mat. Stat. 58, 8-23 (1998). MSC2000: *60G44 60E15, Reviewer: Yu.V.Kozachenko (Ky\" iv)

17
Zbl 0932.62098 Maiboroda, R.E.
Statistic of sudden death.
(English. Russian original)
Theory Probab. Math. Stat. 58, 113-122 (1999); translation from Teor. Jmovirn. Mat. Stat. 58, 104-113 (1998). MSC2000: *62M05 62M10 62G07, Reviewer: Yu.V.Kozachenko (Ky\" iv)

18
Zbl 0932.62025 Knopov, P.S.
Estimates of parameters for nonidentically distributed random variables.
(English. Ukrainian original)
Theory Probab. Math. Stat. 58, 43-49 (1999); translation from Teor. Jmovirn. Mat. Stat. 58, 38-44 (1998). MSC2000: *62F12 62J02, Reviewer: Yu.V.Kozachenko (Ky\" iv)

19
Zbl 0932.62100 Bondarev, B.V.
On an estimate of the unknown parameter ($\vert\theta\vert>1$) of a first order autoregression process under Gaussian perturbations.
(English. Ukrainian original)
Theory Probab. Math. Stat. 58, 1-7 (1999); translation from Teor. Jmovirn. Mat. Stat. 58, 1-7 (1998). MSC2000: *62M10 62F10 62J05, Reviewer: Yu.V.Kozachenko (Ky\" iv)