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



Volume 61

1

Zbl 0990.60059 Svishchuk, A.V.; Kalemanova, A.V.
The stochastic stability of interest rates with jump changes. (English. Ukrainian original)
Theory Probab. Math. Stat. 61, 161-172 (2000); translation from Teor. Jmovirn. Mat. Stat. 61, 152-163 (2000). MSC2000: *60H10 62P05 91B28, Reviewer: M.P.Moklyachuk (Ky\" iv)

2
Zbl 0990.62087 Burykina, N.O.; Leonenko, M.M.
Statistical estimates of parameters of the heat equation with random initial conditions. (English. Ukrainian original)
Theory Probab. Math. Stat. 61, 3-14 (2000); translation from Teor. Jmovirn. Mat. Stat. 61, 3-14 (2000). MSC2000: *62M40 35R60 35L05, Reviewer: Swishchuk, A.V.(Ky\" iv)

3
Zbl 0986.60041 Mishura, Yu.S.; Zolota, A.V.
The structure of martingales generated by restrictions on stochastically continuous fields with independent increments to curves. I. (English. Ukrainian original)
Theory Probab. Math. Stat. 61, 137-152 (2000); translation from Teor. Jmovirn. Mat. Stat. 61, 131-144 (2000). MSC2000: *60G60 60G51 60G44, Reviewer: A.V.Swishchuk (Ky\" iv)

4
Zbl 0986.60090 Lebedev, E.O.; Livinskyj, M.O.
On a system $\text{GI/G}/\infty$ with a periodic input. (English. Ukrainian original)
Theory Probab. Math. Stat. 61, 101-108 (2000); translation from Teor. Jmovirn. Mat. Stat. 61, 97-104 (2000). MSC2000: *60K25 60K20 60F17, Reviewer: A.V.Swishchuk (Ky\" iv)

5
Zbl 0986.60026 Kurchenko, O.O.
The functional central limit theorem for Baxter sums of fractional Brownian motion. (English. Ukrainian original)
Theory Probab. Math. Stat. 61, 87-94 (2000); translation from Teor. Jmovirn. Mat. Stat. 61, 84-90 (2000). MSC2000: *60F17 60G10 60G15, Reviewer: A.V.Swishchuk (Ky\" iv)

6
Zbl 0986.60021 Koval', V.O.
Limit theorems for random vectors with operator normalizations. I. (English. Ukrainian original)
Theory Probab. Math. Stat. 61, 49-60 (2000); translation from Teor. Jmovirn. Mat. Stat. 61, 47-58 (2000). MSC2000: *60F15 60B12 60G42, Reviewer: A.V.Swishchuk (Ky\" iv)

7
Zbl 0986.60049 Il'chenko, O.V.
On the existence of periodic solutions of stochastic differential equations with small parameter. (English. Ukrainian original)
Theory Probab. Math. Stat. 61, 33-39 (2000); translation from Teor. Jmovirn. Mat. Stat. 61, 33-38 (2000). MSC2000: *60H10 93E15 34D20, Reviewer: A.V.Swishchuk (Ky\" iv)

8
Zbl 0985.60031 Pogány, Tibor K.
Some Korovkin-type theorems for stochastic processes. (English)
Theory Probab. Math. Stat. 61, 153-159 (2000) and Teor. Jmovirn. Mat. Stat. 61, 145-151 (2000). MSC2000: *60G12 60G99 41A15, Reviewer: A.V.Swishchuk (Ky\" iv)

9
Zbl 0985.60002 Matsak, I.K.; Plichko, A.M.
On maxima of independent random elements in Banach functional lattice. (English. Ukrainian original)
Theory Probab. Math. Stat. 61, 109-120 (2000); translation from Teor. Jmovirn. Mat. Stat. 61, 105-116 (2000). MSC2000: *60B12 60G70 60G50, Reviewer: A.V.Swishchuk (Ky\" iv)

10
Zbl 0985.60079 Kushnir, O.O.
A quantitative lower estimate for the expectation of the first failure moment of a high reliable system with protection in a nonstationary regime. (English. Ukrainian original)
Theory Probab. Math. Stat. 61, 95-100 (2000); translation from Teor. Jmovirn. Mat. Stat. 61, 91-96 (2000). MSC2000: *60K05 60K10 60K20, Reviewer: A.V.Swishchuk (Ky\" iv)

11
Zbl 0985.60032 Krvavych, Yu.V.; Mishura, Yu.S.
Maximal inequalities for moments of Wiener integrals with respect to fractional Brownian motion. (English. Ukrainian original)
Theory Probab. Math. Stat. 61, 75-86 (2000); translation from Teor. Jmovirn. Mat. Stat. 61, 72-83 (2000). MSC2000: *60G15 60H10 60G44, Reviewer: A.V.Swishchuk (Ky\" iv)

12
Zbl 0985.60036 Kozachenko, Yu.V.; Pashko, A.O.
On the simulation of random fields. I. (English. Ukrainian original)
Theory Probab. Math. Stat. 61, 61-74 (2000); translation from Teor. Jmovirn. Mat. Stat. 61, 59-71 (2000). MSC2000: *60G17 60G60 60H05, Reviewer: A.V.Swishchuk (Ky\" iv)

13
Zbl 0985.60021 Klesov, O.I.
The law of the iterated logarithm for multiple sums. (English. Ukrainian original)
Theory Probab. Math. Stat. 61, 41-48 (2000); translation from Teor. Jmovirn. Mat. Stat. 61, 39-46 (2000). MSC2000: *60F05 60G60 60G50, Reviewer: A.V.Swishchuk (Ky\" iv)

14
Zbl 0985.60078 Englund, E.
Perturbed renewal equations with applications to M/M queueing systems. II. (English)
Theory Probab. Math. Stat. 61, 21-32 (2000) and Teor. Jmovirn. Mat. Stat. 61, 21-32 (2000). MSC2000: *60K05 60K15 60K25, Reviewer: A.V.Swishchuk (Ky\" iv)

15
Zbl 0985.60054 Bektashov, S.
On an estimation of an unknown mean of a homogeneous and isotropic random field observed in an annulus. (English. Ukrainian original)
Theory Probab. Math. Stat. 61, 1-2 (2000); translation from Teor. Jmovirn. Mat. Stat. 61, 1-2 (2000). MSC2000: *60G60 62F12 62M40, Reviewer: A.V.Swishchuk (Ky\" iv)

16
Zbl 0980.62076 Steinebach, Josef
Some remarks on the testing of smooth changes in the linear drift of a stochastic process. (English. Ukrainian original)
Theory Probab. Math. Stat. 61, 173-185 (2000); translation from Teor. Jmovirn. Mat. Stat. 61, 164-175 (2000). MSC2000: *62M07 62E20 60F17, Reviewer: A.V.Swishchuk (Ky\" iv)

7
Zbl 0980.62004 Mergel', V.
The construction of a criterion for testing hypotheses about the distribution of random vectors. (English. Ukrainian original)
Theory Probab. Math. Stat. 61, 131-135 (2000); translation from Teor. Jmovirn. Mat. Stat. 61, 126-130 (2000). MSC2000: *62B10 62H15 62F03, Reviewer: A.V.Swishchuk (Ky\" iv)

18
Zbl 0980.62020 Majboroda, R.E.
An asymptotically effective estimate of a distribution from a sample with varying mixture. (English. Ukrainian original)
Theory Probab. Math. Stat. 61, 121-130 (2000); translation from Teor. Jmovirn. Mat. Stat. 61, 117-125 (2000). MSC2000: *62G05 62G20 62P25, Reviewer: A.V.Swishchuk (Ky\" iv)

19
Zbl 0980.62087 Dučinskas, K.; Saltyte, J.
Asymptotic approximation for the expected risk in classification of different spatial regressions. (English)
Theory Probab. Math. Stat. 61, 15-20 (2000) and Teor. Jmovirn. Mat. Stat. 61, 15-20 (2000). MSC2000: *62M40 62H30 62M30, Reviewer: A.V.Swishchuk (Ky\" iv)




Volume 62

Zbl 1020.91018 Mel'nikov, A.V.
Binomial financial market in the context of the algebra of stochastic exponents and martingales. (English. Ukrainian original)
Theory Probab. Math. Stat. 62, 103-111 (2001); translation from Teor. Jmovirn. Mat. Stat. 62, 96-104 (2000). MSC2000: *91B28 62P05 60G42, Reviewer: Anatoliy Swishchuk (Toronto)

2
Zbl 1012.62093 Bondarev, B.V.; Simogin, A.A.
An inequality for the probability of large deviations of an estimate of an unknown parameter in the Cauchy problem for a first-order partial differential equation with rapid random oscillations. (English. Ukrainian original)
Theory Probab. Math. Stat. 62, 1-8 (2001); translation from Teor. Jmovirn. Mat. Stat. 62, 1-8 (2000). MSC2000: *62M09 60F10 60H15, Reviewer: A.V.Swishchuk (Ky\" iv)

3
Zbl 1005.60015 Matsak, I.K.
The order law of large numbers in Banach lattices. (English. Ukrainian original)
Theory Probab. Math. Stat. 62, 89-102 (2001); translation from Teor. Jmovirn. Mat. Stat. 62, 83-95 (2000). MSC2000: *60B12 60G50 60F15, Reviewer: A.V.Swishchuk (Ky\" iv)

4
Zbl 1004.60086 Silvestrov, D.S.
The perturbed renewal equation and diffusion type approximation for risk processes. (English. Ukrainian original)
Theory Probab. Math. Stat. 62, 145-156 (2001); translation from Teor. Jmovirn. Mat. Stat. 62, 134-144 (2000). MSC2000: *60K05 91B30 60K30, Reviewer: A.V.Swishchuk (Ky\" iv)

5
Zbl 1004.60050 Radchenko, V.M.
Integration with respect to general random measures in the Riemann sense. (English. Ukrainian original)
Theory Probab. Math. Stat. 62, 127-131 (2001); translation from Teor. Jmovirn. Mat. Stat. 62, 119-123 (2000). MSC2000: *60G57 28D99 60H05, Reviewer: A.V.Swishchuk (Ky\" iv)

6
Zbl 1004.60053 Mishura, Yu.S.; Zolota, A.V.
The structure of martingales generated by restrictions of stochastically continuous fields with independent increments to curves. II. (English. Ukrainian original)
Theory Probab. Math. Stat. 62, 113-126 (2001); translation from Teor. Jmovirn. Mat. Stat. 62, 105-118 (2000). MSC2000: *60G60 60J65 60G44, Reviewer: A.V.Swishchuk (Ky\" iv)

7
Zbl 1004.60017 Leonenko, N.N.; Mel'nikova, O.O.
Renormalization and homogenization of solutions of the inhomogeneous heat equation with a linear potential and of the related Burgers equation with random data. (English. Ukrainian original)
Theory Probab. Math. Stat. 62, 77-88 (2001); translation from Teor. Jmovirn. Mat. Stat. 62, 72-82 (2000). MSC2000: *60F05 70L05 35Q53, Reviewer: A.V.Swishchuk (Ky\" iv)

8
Zbl 1004.60034 Krasnits'kyj, S.M.
Gikhman-Skorokhod spectral conditions of equivalence of Gaussian measures corresponding to homogeneous random fields. (English. Ukrainian original)
Theory Probab. Math. Stat. 62, 65-76 (2001); translation from Teor. Jmovirn. Mat. Stat. 62, 61-71 (2000). MSC2000: *60G30 60G57 60G60, Reviewer: A.V.Swishchuk (Ky\" iv)

9
Zbl 1004.60032 Kozachenko, Yu.V.; Pashko, A.O.
On the simulation of random fields. II. (English. Ukrainian original)
Theory Probab. Math. Stat. 62, 51-63 (2001); translation from Teor. Jmovirn. Mat. Stat. 62, 48-60 (2000). MSC2000: *60G17 60G60 60G15, Reviewer: A.V.Swishchuk (Ky\" iv)

10
Zbl 1004.60027 Koval', V.O.
Limit theorems for random vectors with operator normalizations. II. (English. Ukrainian original)
Theory Probab. Math. Stat. 62, 39-49 (2001); translation from Teor. Jmovirn. Mat. Stat. 62, 37-47 (2000). MSC2000: *60F15 60G42 60G35, Reviewer: A.V.Swishchuk (Ky\" iv)

11
Zbl 1004.60030 Klesov, O.I.
The existence of moments of the suprema of multiple sums and the strong law of large numbers. (English. Ukrainian original)
Theory Probab. Math. Stat. 62, 27-37 (2001); translation from Teor. Jmovirn. Mat. Stat. 62, 27-36 (2000). MSC2000: *60F99 60G50 60F15, Reviewer: A.V.Swishchuk (Ky\" iv)

12
Zbl 0995.60009 Turbin, A.F.; Samojlenko, I.V.
Minimal symmetrization of random vectors in $R^2$. (English. Ukrainian original)
Theory Probab. Math. Stat. 62, 165-170 (2001); translation from Teor. Jmovirn. Mat. Stat. 62, 151-156 (2000). MSC2000: *60B11 33C10 60E05, Reviewer: A.V.Swishchuk (Ky\" iv)

13
Zbl 0994.60038 Sharapov, M.M.
On the estimation of the mean of a random process from irregular observations. (English. Ukrainian original)
Theory Probab. Math. Stat. 62, 171-178 (2001); translation from Teor. Jmovirn. Mat. Stat. 62, 157-161 (2000). MSC2000: *60G10 60G50 62M10, Reviewer: A.V.Swishchuk (Ky\" iv)

14
Zbl 0994.60024 Sugakova, O.V.
Central moments of a nonhomogeneous renewal process. (English. Ukrainian original)
Theory Probab. Math. Stat. 62, 157-163 (2001); translation from Teor. Jmovirn. Mat. Stat. 62, 145-150 (2000). MSC2000: *60F05 60G50 60J75, Reviewer: A.V.Swishchuk (Ky\" iv)

15
Zbl 0994.60037 Revenko, A.O.
Construction of a criterion for testing hypotheses about the covariance function of a Gaussian homogeneous isotropic field. (English. Ukrainian original)
Theory Probab. Math. Stat. 62, 133-143 (2001); translation from Teor. Jmovirn. Mat. Stat. 62, 124-133 (2000). MSC2000: *60G07 60G60 60G15, Reviewer: A.V.Swishchuk (Ky\" iv)

16
Zbl 0994.60041 Zajtseva, L.L.
Brownian motion in a Hilbert space with diffusion along a translucent membrane on a hyperplane. (English. Ukrainian original)
Theory Probab. Math. Stat. 62, 19-26 (2001); translation from Teor. Jmovirn. Mat. Stat. 62, 19-26 (2000). MSC2000: *60G20 60J65 58J65, Reviewer: A.V.Swishchuk (Ky\" iv)

17
Zbl 0989.60056 Griego, R.J.; Svishchuk, A.V.
Black-Scholes formula for a market in a random environment. (English. Ukrainian original)
Theory Probab. Math. Stat. 62, 9-18 (2001); translation from Teor. Jmovirn. Mat. Stat. 62, 9-18 (2000). MSC2000: *60H10 60J27 91B24, Reviewer: M.P.Moklyachuk (Ky\" iv)