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



Volume 59

1

Zbl 1024.46012 Barbulyak, L.V.
Biorthogonal systems of Appell polynomials for smooth measures on ${\Bbb R}_{+}$. (English. Ukrainian original)
Theory Probab. Math. Stat. 59, 1-9 (1999); translation from Teor. Jmorvirn. Mat. Stat. 59, 1-9 (1998). MSC2000: *46F25 33C45 42C05, Reviewer: A.V.Swishchuk (Ky\" iv)

2
Zbl 0960.60068 Khusanboev, Ya.M.; Rakhimov, G.M.
On a growth process. (English. Ukrainian original)
Theory Probab. Math. Stat. 59, 173-176 (1999); translation from Teor. Jmorvirn. Mat. Stat. 59, 167-170 (1998). MSC2000: *60J80 60G42 60F15, Reviewer: A.V.Swishchuk (Ky\" iv)

3
Zbl 0960.60009 Matsak, I.K.
The law of the iterated logarithm for extreme value of random elements in Banach lattices. (English. Ukrainian original)
Theory Probab. Math. Stat. 59, 129-138 (1999); translation from Teor. Jmorvirn. Mat. Stat. 59, 125-134 (1998). MSC2000: *60B12 60F15 60G10, Reviewer: A.V.Swishchuk (Ky\" iv)

4
Zbl 0960.60049 Kozachenko, Yu.V.; Pashko, A.O.
Accuracy of simulation of stochastic processes in norms of Orlicz spaces. II. (English. Ukrainian original)
Theory Probab. Math. Stat. 59, 77-92 (1999); translation from Teor. Jmorvirn. Mat. Stat. 59, 75-90 (1998). MSC2000: *60G99 60E15, Reviewer: A.V.Swishchuk (Ky\" iv)

5
Zbl 0960.60021 Koval', V.O.
The strong law of large numbers for martingales normalized by operators. (English. Ukrainian original)
Theory Probab. Math. Stat. 59, 67-75 (1999); translation from Teor. Jmorvirn. Mat. Stat. 59, 66-74 (1998). MSC2000: *60F15 60G42 62H12, Reviewer: A.V.Swishchuk (Ky\" iv)

6
Zbl 0960.60036 Buldygin, V.V.; Il'jenko, A.B.
Asymptotic properties of Schottky time series. (English. Ukrainian original)
Theory Probab. Math. Stat. 59, 21-34 (1999); translation from Teor. Jmorvirn. Mat. Stat. 59, 20-33 (1998). MSC2000: *60F25 60F05 60F10, Reviewer: A.V.Swishchuk (Ky\" iv)

7
Zbl 0960.60030 Bondarjev, B.V.; Korol'ov, M.E.
Some applications of the Strassen law of iterated logarithm for normalized integrals of processes with weak dependence. (English. Ukrainian original)
Theory Probab. Math. Stat. 59, 11-19 (1999); translation from Teor. Jmorvirn. Mat. Stat. 59, 10-19 (1998). MSC2000: *60F17 60G10, Reviewer: R.E.Maiboroda (Ky\" iv)

8
Zbl 0959.60041 Yadrenko, M.I.; Gamalij, O.G.
Statistical simulation of a homogeneous isotropic random field in the space $R^3$ and estimates of simulation errors. (English. Ukrainian original)
Theory Probab. Math. Stat. 59, 177-181 (1999); translation from Teor. Jmorvirn. Mat. Stat. 59, 171-175 (1998). MSC2000: *60G60 60K05 60G12, Reviewer: A.V.Swishchuk (Ky\" iv)

9
Zbl 0959.60004 Kotlyar, B.D.; Al-Dawud, K.
On random circles in a square and on a circle. (English. Ukrainian original)
Theory Probab. Math. Stat. 59, 109-112 (1999); translation from Teor. Jmorvirn. Mat. Stat. 59, 106-109 (1998). MSC2000: *60D05 60E10 60C05, Reviewer: A.V.Swishchuk (Ky\" iv)

10
Zbl 0959.60069 Kopytko, B.I.
An application of the potential method for constructing a diffusion process in a domain with Ventsel boundary condition. (English. Ukrainian original)
Theory Probab. Math. Stat. 59, 93-100 (1999); translation from Teor. Jmorvirn. Mat. Stat. 59, 91-98 (1998). MSC2000: *60J60 60J50, Reviewer: A.V.Swishchuk (Ky\" iv)

11
Zbl 0958.60086 Swishchuk, A.V.; Goncharova, S.Ya.
Stability of semi-Markov risk processes in the scheme of normal deviations. (English. Ukrainian original)
Theory Probab. Math. Stat. 59, 149-152 (1999); translation from Teor. Jmorvirn. Mat. Stat. 59, 144-147 (1998). MSC2000: *60K15 62P05 93D20, Reviewer: M.P.Moklyachuk (Ky\" iv)

12
Zbl 0958.60058 Mishura, Yu.S.; Lavrent'jev, O.S.
Stochastic differential equations in Hilbert space: Properties of solutions, limit theorems, asymptotic expansions with respect to a small parameter. II. (English. Ukrainian original)
Theory Probab. Math. Stat. 59, 139-147 (1999); translation from Teor. Jmorvirn. Mat. Stat. 59, 135-143 (1998). MSC2000: *60H10 60H05 60G44, Reviewer: A.V.Swishchuk (Ky\" iv)

13
Zbl 0958.60084 Kushnir, O.O.
The first failure of a highly reliable system of two elevators. (English. Ukrainian original)
Theory Probab. Math. Stat. 59, 113-120 (1999); translation from Teor. Jmorvirn. Mat. Stat. 59, 110-116 (1998). MSC2000: *60K10 90B25 60K20, Reviewer: A.V.Swishchuk (Ky\" iv)

14
Zbl 0958.60038 Korolyuk, V.S.; Limnios, N.
Diffusion approximation of integral functionals in merging and averaging scheme. (English. Ukrainian original)
Theory Probab. Math. Stat. 59, 101-107 (1999); translation from Teor. Jmorvirn. Mat. Stat. 59, 99-105 (1998). MSC2000: *60G25 60J75 60F17, Reviewer: A.V.Swishchuk (Ky\" iv)

15
Zbl 0958.60071 Jelejko, Ya.I.
Some refinements of limit theorems for semi-Markov processes with a general phase space. (English. Ukrainian original)
Theory Probab. Math. Stat. 59, 57-65 (1999); translation from Teor. Jmorvirn. Mat. Stat. 59, 57-65 (1998). MSC2000: *60J25 60K15 60F15, Reviewer: A.V.Swishchuk (Ky\" iv)

16
Zbl 0958.60035 El-Bassiouny, A.H.
On sojourn measures above a moving barrier for a Gaussian field with long-range dependence. (English. Ukrainian original)
Theory Probab. Math. Stat. 59, 47-56 (1999); translation from Teor. Jmorvirn. Mat. Stat. 59, 47-56 (1998). MSC2000: *60G15 60G60 60H05, Reviewer: A.V.Swishchuk (Ky\" iv)

17
Zbl 0958.60076 Gusak, D.V.
On a generalized semicontinuous integer-valued Poisson process with reflection. (English. Ukrainian original)
Theory Probab. Math. Stat. 59, 41-46 (1999); translation from Teor. Jmorvirn. Mat. Stat. 59, 41-46 (1998). MSC2000: *60J50 60J70 60K10, Reviewer: A.V.Swishchuk (Ky\" iv)

18
Zbl 0955.46023 Skorokhod, D.A.
Linear transformations of orthogonal vector measures. Nondegenerated complete measures. (English. Ukrainian original)
Theory Probab. Math. Stat. 59, 153-159 (1999); translation from Teor. Jmovirn. Mat. Stat. 59, 148-155 (1998). MSC2000: *46G10 28B05 47B07, Reviewer: A.V.Swishchuk (Ky\" iv)

19
Zbl 0953.62036 Sugakova, O.V.
Asymptotics of a kernel estimatefor distribution density constructed from observations of a mixture with varying concentration. (English. Ukrainian original)
Theory Probab. Math. Stat. 59, 161-171 (1999); translation from Teor. Jmovirn. Mat. Stat. 59, 156-166 (1998). MSC2000: *62G07 62G20, Reviewer: R.E.Maiboroda (Ky\" iv)

20
Zbl 0953.62047 Maiboroda, R.Je.
An asymptotically effitive probability estimator constructed from observations of a mixture. (English. Ukrainian original)
Theory Probab. Math. Stat. 59, 121-128 (1999); translation from Teor. Jmovirn. Mat. Stat. 59, 117-124 (1998). MSC2000: *62G20 93E10 93E24, Reviewer: A.V.Swishchuk (Ky\" iv)




Volume 59

1

Zbl 0956.60010 Krasnyts'kyj, S.M.
On a spectral condition for the equivalence of Gaussian measures corresponding to random fields. (English. Ukrainian original)
Theory Probab. Math. Stat. 60, 95-104 (2000); translation from Teor. Jmovirn. Mat. Stat. 60, 85-94 (1999). MSC2000: *60F15 60G42, Reviewer: Yu.V.Kozachenko (Ky\" iv)

2
Zbl 0955.60051 Yurachkivs'kyj, A.P.
Covaristic functions of random measures and their applications. (English. Ukrainian original)
Theory Probab. Math. Stat. 60, 187-200 (2000); translation from Teor. Jmovirn. Mat. Stat. 60, 167-176 (1999). MSC2000: *60G57 60D05, Reviewer: Yu.V.Kozachenko (Ky\" iv)

3
Zbl 0955.60024 Sugakova, O.V.
Rényi's theorem and a nonhomogeneous renewal process. (English. Ukrainian original)
Theory Probab. Math. Stat. 60, 181-186 (2000); translation from Teor. Jmovirn. Mat. Stat. 60, 162-166 (1999). MSC2000: *60F05 60K05, Reviewer: Yu.V.Kozachenko (Ky\" iv)

4
Zbl 0955.60056 Pashko, A.O.
A uniform metric estimate of the accuracy of modelling of Gaussian random fields on a sphere. (English. Ukrainian original)
Theory Probab. Math. Stat. 60, 165-174 (2000); translation from Teor. Jmovirn. Mat. Stat. 60, 149-157 (1999). MSC2000: *60G60 60H30, Reviewer: R.E.Maiboroda (Ky\" iv)

5
Zbl 0955.60055 Mishura, Yu.S.; Ol'tsik, Ya.A.
Some properties of exponential martingales and the problem of optimal stopping. (English. Ukrainian original)
Theory Probab. Math. Stat. 60, 159-164 (2000); translation from Teor. Jmovirn. Mat. Stat. 60, 143-148 (1999). MSC2000: *60G60 60H10, Reviewer: Yu.V.Kozachenko (Ky\" iv)

6
Zbl 0955.60053 Misiewicz, J.K.; Cooke, R.M.
Isotropic sequences of random variables and stochastic rescaling. (English)
Theory Probab. Math. Stat. 60, 151-157 (2000) and Teor. Jmovirn. Mat. Stat. 60, 136-142 (1999). MSC2000: *60G60 60G07, Reviewer: Yu.V.Kozachenko (Ky\" iv)

7
Zbl 0955.60081 Kushnir, O.O.
Estimates and convergence for the probability of $\varepsilon$-approach of two independent renewal processes. (English. Ukrainian original)
Theory Probab. Math. Stat. 60, 125-130 (2000); translation from Teor. Jmovirn. Mat. Stat. 60, 112-117 (1999). MSC2000: *60K05 60K10, Reviewer: Yu.V.Kozachenko (Ky\" iv)

8
Zbl 0955.60035 Kurchenko, O.O.
The convergence of $F$-variation for Gaussian random fields. (English. Ukrainian original)
Theory Probab. Math. Stat. 60, 113-123 (2000); translation from Teor. Jmovirn. Mat. Stat. 60, 102-111 (1999). MSC2000: *60G15 60G60, Reviewer: R.E.Maiboroda (Ky\" iv)

9
Zbl 0955.60041 Korolyuk, V.S.; Limnios, N.
Diffusion approximation for integral functionals in the double merging and averaging scheme. (English. Ukrainian original)
Theory Probab. Math. Stat. 60, 87-94 (2000); translation from Teor. Jmovirn. Mat. Stat. 60, 77-84 (1999). MSC2000: *60G25 60F17, Reviewer: Yu.V.Kozachenko (Ky\" iv)

10
Zbl 0955.60037 Kozachenko, Yu.V.
Stochastic processes in Orlicz function spaces. (English. Ukrainian original)
Theory Probab. Math. Stat. 60, 73-85 (2000); translation from Teor. Jmovirn. Mat. Stat. 60, 64-76 (1999). MSC2000: *60G17 60G07, Reviewer: R.E.Maiboroda (Ky\" iv)

11
Zbl 0955.60072 Kartashov, N.V.
On ruin probability for a risk process with bounded reserves. (English. Ukrainian original)
Theory Probab. Math. Stat. 60, 53-65 (2000); translation from Teor. Jmovirn. Mat. Stat. 60, 46-58 (1999). MSC2000: *60J05 60J45, Reviewer: Yu.V.Kozachenko (Ky\" iv)

12
Zbl 0955.60080 Englund, Erling
Perturbed renewal equations with applications to M/M queuing systems. I. (English)
Theory Probab. Math. Stat. 60, 35-42 (2000) and Teor. Jmovirn. Mat. Stat. 60, 31-37 (1999). MSC2000: *60K05 60K15 60K25, Reviewer: Yu.V.Kozachenko (Ky\" iv)

13
Zbl 0955.60057 Derijeva, O.M.
On the rate of convergence to the normal law for functionals of a vector Gaussian random field. (English. Ukrainian original)
Theory Probab. Math. Stat. 60, 29-34 (2000); translation from Teor. Jmovirn. Mat. Stat. 60, 26-30 (1999). MSC2000: *60G60, Reviewer: Yu.V.Kozachenko (Ky\" iv)

14
Zbl 0955.60054 Girko, V.L.
Logarithmic law: twenty years later. (English. Ukrainian original)
Theory Probab. Math. Stat. 60, 19-27 (2000); translation from Teor. Jmovirn. Mat. Stat. 60, 17-25 (1999). MSC2000: *60G60 62M20, Reviewer: Yu.V.Kozachenko (Ky\" iv)

15
Zbl 0947.62053 Stus', O.V.
A criterion for testing hypotheses on covariance functions of vector-valued Gaussian stationary stochastic process defined on a interval. (English. Ukrainian original)
Theory Probab. Math. Stat. 60, 175-179 (2000); translation from Teor. Jmovirn. Mat. Stat. 60, 158-161 (1999). MSC2000: *62M07 62M99 62E15, Reviewer: Yu.V.Kozachenko (Ky\" iv)

16
Zbl 0947.62035 Majboroda, R.E.
An estimate for the extremal points of a distribution from observations of a mixture with varying concentrations. (English. Ukrainian original)
Theory Probab. Math. Stat. 60, 131-135 (2000); translation from Teor. Jmovirn. Mat. Stat. 60, 118-122 (1999). MSC2000: *62G32 62G20 62G07, Reviewer: O.V.Sugakova (Ky\" iv)

17
Zbl 0947.62044 Kukush, O.G.; Martsynyuk, Yu.V.
A criterion for the consistency of the least squares estimator for a functional linear model with errors in variables. (English. Ukrainian original)
Theory Probab. Math. Stat. 60, 105-112 (2000); translation from Teor. Jmovirn. Mat. Stat. 60, 95-101 (1999). MSC2000: *62J05 62F12, Reviewer: R.E.Maiboroda (Ky\" iv)

18
Zbl 0947.62041 Bardadym, T.O.; Ivanov, O.V.
On the asymptotic normality of $l_\alpha$-estimators of a parameter of a nonlinear regression model. (English. Ukrainian original)
Theory Probab. Math. Stat. 60, 1-11 (2000); translation from Teor. Jmovirn. Mat. Stat. 60, 1-10 (1999). MSC2000: *62J02 62F12 62J99, Reviewer: R.E.Maiboroda (Ky\" iv)