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



Volume 63

1

Zbl 1003.46014 Vakhaniya, N.N.; Kandelaki, N.P.
On orthogonal multiplication in complex Hilbert spaces. (English. Russian original)
Theory Probab. Math. Stat. 63, 27-32 (2001); translation from Teor. Jmovirn. Mat. Stat. 63, 26-31 (2000). MSC2000: *46C05 60G15, Reviewer: A.D.Borisenko (Ky\" iv)

2
Zbl 0999.34057 Perestyuk, M.O.; Stanzhyts'kyj, O.M.
Periodic solutions to systems of differential equations with a random impulse action.
(English. Ukrainian original)
Theory Probab. Math. Stat. 63, 131-136 (2001); translation from Teor. Jmovirn. Mat. Stat. 63, 119-124 (2000). MSC2000: *34F05 34C25 34K45, Reviewer: A.D.Borisenko (Ky\" iv)

3
Zbl 0991.62042 Belyaev, Yu.K.
Unbiased estimation of the accuracy of digital discretely colored images.
(English. Russian original)
Theory Probab. Math. Stat. 63, 13-20 (2001); translation from Teor. Jmovirn. Mat. Stat. 63, 13-20 (2000). MSC2000: *62H35 62H30 62F10, Reviewer: A.D.Borisenko (Ky\" iv)

4
Zbl 0990.60034 Shklyar, S.V.
An interpolation inequality for moments of sums of random vectors.
(English. Ukrainian original)
Theory Probab. Math. Stat. 63, 171-177 (2001); translation from Teor. Jmovirn. Mat. Stat. 63, 156-162 (2000). MSC2000: *60F99, Reviewer: A.D.Borisenko (Ky\" iv)

5
Zbl 0990.60080 Shevchenko, G.M.
On the distribution of sojourn times for the Brownian motion process on a bundle of rays.
(English. Ukrainian original)
Theory Probab. Math. Stat. 63, 159-170 (2001); translation from Teor. Jmovirn. Mat. Stat. 63, 145-155 (2000). MSC2000: *60J65 60J55, Reviewer: A.D.Borisenko (Ky\" iv)

6
Zbl 0990.60061 Prakasa Rao, B.L.S.
Bernstein-von Mises type theorem for a class of Hilbert space valued stochastic differential equations. (English)
Theory Probab. Math. Stat. 63, 151-158 (2001) and Teor. Jmovirn. Mat. Stat. 63, 138-144 (2000). MSC2000: *60H10 62F15, Reviewer: A.D.Borisenko (Ky\" iv)

7
Zbl 0990.60079 Peruničić, Predrag M.; Pogány, Tibor K.
On the Hida-Cramér canonical representation of an odd degree Wiener process.
(English. Ukrainian original)
Theory Probab. Math. Stat. 63, 145-150 (2001); translation from Teor. Jmovirn. Mat. Stat. 63, 132-137 (2000). MSC2000: *60J65, Reviewer: A.D.Borisenko (Ky\" iv)

8
Zbl 0990.60078 Peshkir, G.; Shiryaev, A.N.
Maximal inequalities for reflected Brownian motion with drift.
(English. Russian original)
Theory Probab. Math. Stat. 63, 137-143 (2001); translation from Teor. Jmovirn. Mat. Stat. 63, 125-131 (2000). MSC2000: *60J65 60G40, Reviewer: A.D.Borisenko (Ky\" iv)

9
Zbl 0990.60060 Kulinich, G.L.; Kushnirenko, S.V.
Invariant sets for systems of stochastic differential equations without aftereffect.
(English. Ukrainian original)
Theory Probab. Math. Stat. 63, 123-130 (2001); translation from Teor. Jmovirn. Mat. Stat. 63, 112-118 (2000). MSC2000: *60H10, Reviewer: A.D.Borisenko (Ky\" iv)

10
Zbl 0990.60036 Kozachenko, Yu.V.; Vasylyk, O.I.
Stochastic processes of the classes $V(\varphi,\psi)$.
(English. Ukrainian original)
Theory Probab. Math. Stat. 63, 109-121 (2001); translation from Teor. Jmovirn. Mat. Stat. 63, 100-111 (2000). MSC2000: *60G07 60G70, Reviewer: A.D.Borisenko (Ky\" iv)

11
Zbl 0990.60048 Klesov, O.I.
The boundedness of multiple series.
(English. Ukrainian original)
Theory Probab. Math. Stat. 63, 99-108 (2001); translation from Teor. Jmovirn. Mat. Stat. 63, 90-99 (2000). MSC2000: *60G50 60G60, Reviewer: A.D.Borisenko (Ky\" iv)

12
Zbl 0990.60029 Zinchenko, N.M.
The Skorokhod representation and strong invariance principle.
(English. Ukrainian original)
Theory Probab. Math. Stat. 63, 51-63 (2001); translation from Teor. Jmovirn. Mat. Stat. 63, 49-60 (2000). MSC2000: *60F17, Reviewer: A.D.Borisenko (Ky\" iv)

13
Zbl 0990.60043 Dupuis, P.; Ramanan, K.
An explicit formula for the solution of certain optimal control problems on domains with corners.
(English)
Theory Probab. Math. Stat. 63, 33-49 (2001) and Teor. Jmovirn. Mat. Stat. 63, 32-48 (2000). MSC2000: *60G35, Reviewer: A.D.Borisenko (Ky\" iv)

14
Zbl 0990.60028 Buldygin, V.V.; Il'jenko, A.B.
On a functional limit theorem for time series constructed from shot noise processes.
(English. Ukrainian original)
Theory Probab. Math. Stat. 63, 21-25 (2001); translation from Teor. Jmovirn. Mat. Stat. 63, 21-25 (2000). MSC2000: *60F17, Reviewer: A.D.Borisenko (Ky\" iv)

15
Zbl 0990.60023 Anisimov, V.V.
Convergence of switching reward processes.
(English. Ukrainian original)
Theory Probab. Math. Stat. 63, 1-11 (2001); translation from Teor. Jmovirn. Mat. Stat. 63, 3-12 (2000). MSC2000: *60F15 60K15 60G51, Reviewer: A.D.Borisenko (Ky\" iv)

16
Zbl 0989.62050 Yadrenko, M.I.
Statistical problems for the Whittle field.
(English. Ukrainian original)
Theory Probab. Math. Stat. 63, 179-183 (2001); translation from Teor. Jmovirn. Mat. Stat. 63, 163-167 (2000). MSC2000: *62M40 62M20 60G60, Reviewer: A.D.Borisenko (Ky\" iv)

17
Zbl 0988.62015 Ivanov, O.V.; Leonenko, M.M.
Asymptotic inference for a nonlinear regression with a long-range dependence.
(English. Ukrainian original)
Theory Probab. Math. Stat. 63, 65-85 (2001); translation from Teor. Jmovirn. Mat. Stat. 63, 61-79 (2000). MSC2000: *62F12 62J02 62M10, Reviewer: A.D.Borisenko (Ky\" iv)

18
Zbl 0987.91041 Kartashov, M.V.
Interval estimates of the classical ruin probability for some classes of distributions of claims.
(English. Ukrainian original)
Theory Probab. Math. Stat. 63, 87-97 (2001); translation from Teor. Jmovirn. Mat. Stat. 63, 80-89 (2000). MSC2000: *91B30, Reviewer: A.D.Borisenko (Ky\" iv)




Volume 64

Zbl 1001.60007 Masol, V.V.
An expansion in a small parameter of the probability that a random determinant in the field GF(2) equals 1.
(English. Ukrainian original)
Theory Probab. Math. Stat. 64, 117-121 (2001); translation from Teor. Jmovirn. Mat. Stat. 64, 102-105 (2001). MSC2000: *60C05, Reviewer: N.M.Zinchenko (Ky\" iv)

2
Zbl 0998.60054 Mishura, Yu.S.
Abstract Volterra equations with stochastic kernels.
(English. Ukrainian original)
Theory Probab. Math. Stat. 64, 139-151 (2001); translation from Teor. Jmovirn. Mat. Stat. 64, 118-128 (2001). MSC2000: *60H05 76M35 60H07, Reviewer: M.P.Moklyachuk (Ky\" iv)

3
Zbl 0998.60049 Yurachkivs'kyj, A.P.
Asymptotic results for the entropy of a random fuzzy partition.
(English. Ukrainian original)
Theory Probab. Math. Stat. 64, 179-192 (2001); translation from Teor. Jmovirn. Mat. Stat. 64, 152-163 (2001). MSC2000: *60G57 60D05, Reviewer: N.M.Zinchenko (Ky\" iv)

4
Zbl 0998.60059 Svishchuk, A.V.; Kazmerchuk, Yu.I.
Stability of stochastic delay equations of Itô form with jumps and Markovian switchings, and their applications in finance.
(English. Ukrainian original)
Theory Probab. Math. Stat. 64, 167-178 (2001); translation from Teor. Jmovirn. Mat. Stat. 64, 141-151 (2001). MSC2000: *60H10 93E15 62P05, Reviewer: N.M.Zinchenko (Ky\" iv)

5
Zbl 0998.60048 Radchenko, V.M.
The absolute continuity of random measures generated by symmetric stochastic integrals.
(English. Ukrainian original)
Theory Probab. Math. Stat. 64, 161-165 (2001); translation from Teor. Jmovirn. Mat. Stat. 64, 136-140 (2001). MSC2000: *60G57, Reviewer: N.M.Zinchenko (Ky\" iv)

6
Zbl 0998.60086 Nishchenko, I.I.
On an asymptotic representation of a normalizing factor for a random matrix-valued evolution.
(English. Ukrainian original)
Theory Probab. Math. Stat. 64, 153-160 (2001); translation from Teor. Jmovirn. Mat. Stat. 64, 129-135 (2001). MSC2000: *60K15, Reviewer: N.M.Zinchenko (Ky\" iv)

7
Zbl 0998.60023 Mel'nyk, S.A.
The dynamics of solutions of the Cauchy problem for a parabolic type stochastic equation with power nonlinearities (the stochastic term is linear).
(English. Ukrainian original)
Theory Probab. Math. Stat. 64, 129-137 (2001); translation from Teor. Jmovirn. Mat. Stat. 64, 110-117 (2001). MSC2000: *60F10 62F05, Reviewer: N.M.Zinchenko (Ky\" iv)

8
Zbl 0998.60058 Makhno, S.Ya.
A limit theorem for stochastic equations with the local time.
(English. Ukrainian original)
Theory Probab. Math. Stat. 64, 123-127 (2001); translation from Teor. Jmovirn. Mat. Stat. 64, 106-109 (2001). MSC2000: *60H10 60F17, Reviewer: N.M.Zinchenko (Ky\" iv)

 
Zbl 0998.60029 Kurchenko, O.O.
The convergence of a sequence of random fields in the space $D([0,1]^d)$.
(English. Ukrainian original)
Theory Probab. Math. Stat. 64, 93-103 (2001); translation from Teor. Jmovirn. Mat. Stat. 64, 82-91 (2001). MSC2000: *60F17 60G60, Reviewer: N.M.Zinchenko (Ky\" iv)

10
Zbl 0998.60036 Krasnits'kyj, S.M.
A sufficient condition for the equivalence of probability measures corresponding to Gaussian homogeneous random fields.
(English. Ukrainian original)
Theory Probab. Math. Stat. 64, 85-91 (2001); translation from Teor. Jmovirn. Mat. Stat. 64, 75-81 (2001). MSC2000: *60G30, Reviewer: N.M.Zinchenko (Ky\" iv)

11
Zbl 0998.60028 Korolyuk, V.S.; Limnios, N.
Poisson approximation of homogeneous additive stochastic functionals with semi-Markov switchings. (English. Ukrainian original)
Theory Probab. Math. Stat. 64, 75-84 (2001); translation from Teor. Jmovirn. Mat. Stat. 64, 66-74 (2001). MSC2000: *60F17 60J35, Reviewer: N.M.Zinchenko (Ky\" iv)

12
Zbl 0998.60030 Il'jenko, A.B.
The asymptotic behaviour of sample means of shot noise processes.
(English. Ukrainian original)
Theory Probab. Math. Stat. 64, 63-73 (2001); translation from Teor. Jmovirn. Mat. Stat. 64, 57-65 (2001). MSC2000: *60F25 60F10 60G10, Reviewer: N.M.Zinchenko (Ky\" iv)

13
Zbl 0998.60014 Iksanov, O.M.
On positive distributions of the class $L$ of self-decompsable laws.
(English. Ukrainian original)
Theory Probab. Math. Stat. 64, 51-61 (2001); translation from Teor.
Jmovirn. Mat. Stat. 64, 48-56 (2001). MSC2000: *60E05 33E12 60E07, Reviewer: N.M.Zinchenko (Ky\" iv)

14
Zbl 0998.60043 Gusak, D.V.
Factorization identity for semicontinuous process defined on a Markov chain.
(English. Ukrainian original)
Theory Probab. Math. Stat. 64, 37-50 (2001); translation from Teor. Jmovirn. Mat. Stat. 64, 35-47 (2001). MSC2000: *60G50 62P05 60J70, Reviewer: N.M.Zinchenko (Ky\" iv)

15
Zbl 0998.60087 Ezhov, I.I.; Kadankov, V.F.
Queueing system $\text{G}^{\kappa}|\text{G}|1$ with customers arriving in batches.
(English. Ukrainian original)
Theory Probab. Math. Stat. 64, 19-36 (2001); translation from Teor. Jmovirn. Mat. Stat. 64, 18-34 (2001). MSC2000: *60K20 60K25 90B22, Reviewer: N.M.Zinchenko (Ky\" iv)

16
Zbl 0998.01553 Balakrishnan, N.; Limnios, N.; Korolyuk, V.S.
V. S. Korolyuk's scientific career in questions and answers. (English. Ukrainian original)
Theory Probab. Math. Stat. 64, 1-7 (2001); translation from Teor. Jmovirn. Mat. Stat. 64, 3-9 (2001). MSC2000: *01A70 60-03 62-03, Reviewer: N.M.Zinchenko (Ky\" iv)

17
Zbl 0995.62022 Majboroda, R.E.
Least square estimate for parameters of concentrations of varying mixture. I: The consistency.
(English. Ukrainian original)
Theory Probab. Math. Stat. 64, 105-115 (2001); translation from Teor. Jmovirn. Mat. Stat. 64, 92-101 (2001). MSC2000: *62F10 62F12 62G05, Reviewer: N.M.Zinchenko (Ky\" iv)

18
Zbl 0995.62084 Bondarev, B.V.; Selyakov, K.B.
On an estimator of an unknown parameter for a first-order autoregressive procedure $(|\theta|>1)$. (English. Ukrainian original)
Theory Probab. Math. Stat. 64, 9-17 (2001); translation from Teor. Jmovirn. Mat. Stat. 64, 10-17 (2001). MSC2000: *62M10 62F10 62F25, Reviewer: N.M.Zinchenko (Ky\" iv)