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## Bondarev, Borys Volodymyrovych

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 Author ID: bondarev.borys-volodymyrovych Published as: Bondarev, B. V.; Bondarev, Boris V.; Bondarev, Borys V. External Links: MGP · Math-Net.Ru
 Documents Indexed: 155 Publications since 1973
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#### Co-Authors

 45 single-authored 14 Baev, Artem V. 10 Kozyr, S. M. 6 Kolosov, Alexander A. 6 Korolev, M. E. 6 Polshkov, Yulian Nikolaevich 6 Simogin, A. A. 6 Zhmykhova, T. V. 5 Kovtun, E. E. 4 Dakhmani, A. 4 Dzundza, A. I. 4 Shurko, I. L. 3 Boldyreva, Valery O. 3 Ragulina, Olena 3 Sosnyts’kyj, O. E. 3 Zhyrny, George G. 2 Khudolij, O. S. 2 Orfinyak, Ye. Yu. 2 Selyakov, K. B. 2 Sosnytskyy, O. E. 2 Zhirney, George G. 2 Zubko, Maksym L. 1 Bajev, A. V. 1 Dahmani, Abdelnasser 1 Khalatyan, E. M. 1 Kolosov, O. A. 1 Koroljov, M. E. 1 Logachov, Artem V. 1 Moskal’tsova, N. V. 1 Orfinyak, E. Yu. 1 Ragulina, S. Yu 1 Serobaba, V. I. 1 Sosnitskij, O. Ye. 1 Stadnik, A. Yu. 1 Stadnyk, A. Yu. 1 Stepanov, E. V. 1 Steshenko, I. V. 1 Tarasova, O. V. 1 Terekhov, P. O. 1 Tymko, A. V. 1 Vorob’eva, I. L. 1 Zhilina, L. S. 1 Zolota, Aelita V. 1 Zoobko, Maxim L.
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#### Serials

 36 Prykladna Statystyka. Aktuarna ta Finansova Matematyka 18 Ukraïns’kyĭ Matematychnyĭ Zhurnal 13 Visnyk Donets’kogo Universytetu. Seriya A. Pryrodnychi Nauky 12 Ukrainian Mathematical Journal 8 Cybernetics and Systems Analysis 8 Theory of Probability and Mathematical Statistics 8 Random Operators and Stochastic Equations 8 Teoriya Ĭmovirnosteĭ ta Matematychna Statystyka 6 Teoriya Sluchaĭnykh Protsessov 4 Visnyk. Seriya: Fizyko-Matematychni Nauky. Kyïvs’kyĭ Universytet Imeni Tarasa Shevchenka 4 Theory of Stochastic Processes 3 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A 3 Trudy Instituta Prikladnoĭ Matematiki i Mekhaniki 2 Teoriya Veroyatnosteĭ i eë Primeneniya 2 Theory of Probability and its Applications 2 Teoriya Veroyatnosteĭ i Matematicheskaya Statistika 1 Kibernetika 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Automation and Remote Control 1 Visnyk. Matematyka. Mekhanika. Kyïvs’kyĭ Universytet Imeni Tarasa Shevchenka 1 Visnyk Kharkivs’kogo Universytetu. Seriya Matematyka, Prykladna Matematyka i Mekhanika 1 Ukraïns’kyĭ Matematychnyĭ Visnyk
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#### Fields

 105 Probability theory and stochastic processes (60-XX) 66 Statistics (62-XX) 44 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Partial differential equations (35-XX) 7 Ordinary differential equations (34-XX) 5 Systems theory; control (93-XX) 4 Numerical analysis (65-XX) 2 Functional analysis (46-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH Open

22 Publications have been cited 32 times in 20 Documents Cited by Year
To the question of the convergence rate in the averaging principle. Zbl 0442.60058
Bondarev, B. V.
1980
Exponential bounds in stochastic approximation procedures. Zbl 0702.62077
Bondarev, B. V.; Dakhmani, A.
1989
On the finite-time nonruin probability of an insurance company with investments in the financial $$(B,S)$$-market. Zbl 1288.91118
Bondarev, B. V.; Ragulina, E. Yu.
2012
Some problems for Clark’s model. I. Estimating the non-ruin probability for an insurance company. Zbl 1298.91095
Bondarev, B. V.; Sosnytskyy, O. E.
2013
On the ruin probability of insurance company functioning on the $$(B,S)$$-market. Zbl 1150.91421
Baev, A. V.; Bondarev, B. V.
2006
Estimates for the rate of convergence in ordinary differential equations under the action of random processes with fast time. Zbl 1093.60027
Bondarev, B. V.; Kovtun, E. E.
2005
On an estimator of the unknown drift coefficient parameter for an equation perturbed by Gaussian noise. Zbl 0746.60060
Bondarev, B. V.
1990
On the averaging of stochastic systems under weakly dependent perturbations. Zbl 0703.60063
Bondarev, B. V.
1990
Inequalities of large deviations for continuous procedures of stochastic approximation. Zbl 0482.62073
Bondarev, B. V.
1981
Large-deviation inequalities for parameter estimators in stochastic systems. Zbl 0842.60061
Bondarev, B. V.; Simogin, A. A.
1994
Approximation of the non-ruin probability for the Cramér-Lundberg model. Zbl 1265.62029
Bondarev, B. V.; Boldyreva, V. O.
2012
Mixing “In the sense of Ibragimov.” Estimate for the rate of approach of a family of integral functionals of a solution of a differential equation with periodic coefficients to a family of Wiener processes. Some applications. I. Zbl 1224.60128
Bondarev, B. V.; Kozyr’, S. M.
2010
Deriving the equation for the non-ruin probability of the insurance company in $$(B,S)$$-market. Stochastic claims and stochastic premiums. Zbl 1310.91075
Bondarev, B. V.; Boldyreva, V. O.
2014
Application of statistical modelling methods for finding the non-ruin probability in the classical insurance model. I. Zbl 1248.62198
Bondarev, B. V.; Orfinyak, Ye. Yu.
2010
Some problems for Clark’s model. II. A solution for Merton’s portfolio problem. Zbl 1298.91131
Bondarev, B. V.; Sosnytskyy, O. E.
2013
Ruin probability of the insurance company for generalized Cramér-Lundberg model in the case of investment of capital on financial $$(B,S)$$-market. Zbl 1199.62033
Bondarev, B. V.; Zhmykhova, T. V.
2008
Application of the invariance principle for stationary sequences with mixing. Zbl 1035.60025
Bondarev, Boris V.; Zoobko, Maxim L.
2001
On estimation of the rate of convergence of solution of ordinary differential equation disturbed by physical white noise and solution of the corresponding Ito’s equation. II. Zbl 1164.60407
Bondarev, B. V.; Kozyr, S. M.
2007
The invariance principle for stationary processes. Estimate of the rate of convergence. Zbl 1097.60021
Bondarev, B. V.; Kovtun, E. E.
2004
No-ruin probability of an insurance company by the Cramér-Lundberg model and gamma-distributed payments. Zbl 1164.62407
Bondarev, B. V.; Zhmykhova, T. V.
2005
On estimate of the rate of convergence of solution to ordinary differential equation disturbed by physical white noise and solution of the corresponding Ito’s equation. I. Zbl 1142.60361
Bondarev, B. V.; Kozyr, S. M.
2006
Control for a saving-consumer fund with functions of an insurance company. Zbl 1152.91566
Bondarev, Boris V.; Baev, Artem V.
2006
Deriving the equation for the non-ruin probability of the insurance company in $$(B,S)$$-market. Stochastic claims and stochastic premiums. Zbl 1310.91075
Bondarev, B. V.; Boldyreva, V. O.
2014
Some problems for Clark’s model. I. Estimating the non-ruin probability for an insurance company. Zbl 1298.91095
Bondarev, B. V.; Sosnytskyy, O. E.
2013
Some problems for Clark’s model. II. A solution for Merton’s portfolio problem. Zbl 1298.91131
Bondarev, B. V.; Sosnytskyy, O. E.
2013
On the finite-time nonruin probability of an insurance company with investments in the financial $$(B,S)$$-market. Zbl 1288.91118
Bondarev, B. V.; Ragulina, E. Yu.
2012
Approximation of the non-ruin probability for the Cramér-Lundberg model. Zbl 1265.62029
Bondarev, B. V.; Boldyreva, V. O.
2012
Mixing “In the sense of Ibragimov.” Estimate for the rate of approach of a family of integral functionals of a solution of a differential equation with periodic coefficients to a family of Wiener processes. Some applications. I. Zbl 1224.60128
Bondarev, B. V.; Kozyr&rsquo;, S. M.
2010
Application of statistical modelling methods for finding the non-ruin probability in the classical insurance model. I. Zbl 1248.62198
Bondarev, B. V.; Orfinyak, Ye. Yu.
2010
Ruin probability of the insurance company for generalized Cramér-Lundberg model in the case of investment of capital on financial $$(B,S)$$-market. Zbl 1199.62033
Bondarev, B. V.; Zhmykhova, T. V.
2008
On estimation of the rate of convergence of solution of ordinary differential equation disturbed by physical white noise and solution of the corresponding Ito’s equation. II. Zbl 1164.60407
Bondarev, B. V.; Kozyr, S. M.
2007
On the ruin probability of insurance company functioning on the $$(B,S)$$-market. Zbl 1150.91421
Baev, A. V.; Bondarev, B. V.
2006
On estimate of the rate of convergence of solution to ordinary differential equation disturbed by physical white noise and solution of the corresponding Ito’s equation. I. Zbl 1142.60361
Bondarev, B. V.; Kozyr, S. M.
2006
Control for a saving-consumer fund with functions of an insurance company. Zbl 1152.91566
Bondarev, Boris V.; Baev, Artem V.
2006
Estimates for the rate of convergence in ordinary differential equations under the action of random processes with fast time. Zbl 1093.60027
Bondarev, B. V.; Kovtun, E. E.
2005
No-ruin probability of an insurance company by the Cramér-Lundberg model and gamma-distributed payments. Zbl 1164.62407
Bondarev, B. V.; Zhmykhova, T. V.
2005
The invariance principle for stationary processes. Estimate of the rate of convergence. Zbl 1097.60021
Bondarev, B. V.; Kovtun, E. E.
2004
Application of the invariance principle for stationary sequences with mixing. Zbl 1035.60025
Bondarev, Boris V.; Zoobko, Maxim L.
2001
Large-deviation inequalities for parameter estimators in stochastic systems. Zbl 0842.60061
Bondarev, B. V.; Simogin, A. A.
1994
On an estimator of the unknown drift coefficient parameter for an equation perturbed by Gaussian noise. Zbl 0746.60060
Bondarev, B. V.
1990
On the averaging of stochastic systems under weakly dependent perturbations. Zbl 0703.60063
Bondarev, B. V.
1990
Exponential bounds in stochastic approximation procedures. Zbl 0702.62077
Bondarev, B. V.; Dakhmani, A.
1989
Inequalities of large deviations for continuous procedures of stochastic approximation. Zbl 0482.62073
Bondarev, B. V.
1981
To the question of the convergence rate in the averaging principle. Zbl 0442.60058
Bondarev, B. V.
1980
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#### Cited by 22 Authors

 10 Bondarev, Borys Volodymyrovych 4 Dahmani, Abdelnasser 2 Arab, Idir 2 Boldyreva, Valery O. 2 Kozyr, S. M. 2 Ragulina, Olena 2 Sosnytskyy, O. E. 1 Allouti, Chahira 1 Baev, Artem V. 1 Barache, Bahia 1 Boldyrieva, Valeriia 1 Dakhmani, A. 1 Dzundza, A. I. 1 Gonchar, N. S. 1 Klepikov, V. N. 1 Mishura, Yuliya Stepanivna 1 Shevchenko, Georgiy M. 1 Simogin, A. A. 1 Stroev, O. M. 1 Tari, Megdouda 1 Vidmar, Matija 1 Zhmykhova, Tetiana
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#### Cited in 9 Serials

 9 Cybernetics and Systems Analysis 3 Ukrainian Mathematical Journal 2 Sequential Analysis 1 Journal of Soviet Mathematics 1 Communications in Statistics. Theory and Methods 1 Theory of Probability and Mathematical Statistics 1 Random Operators and Stochastic Equations 1 Scandinavian Actuarial Journal 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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#### Cited in 8 Fields

 12 Probability theory and stochastic processes (60-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Statistics (62-XX) 4 Systems theory; control (93-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Partial differential equations (35-XX) 1 Numerical analysis (65-XX) 1 Operations research, mathematical programming (90-XX)