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 Author ID: mikhajlov.v-g Published as: Mihajlov, V. G.; Mikhailov, V. G; Mikhailov, V. G.; Mikhailov, Vladimir G.; Mikhajlov, V. G.; Mikhaĭlov, V. G.; Mikhaĭlov, Vladimir G.; Mikhaĭlov, Vladimir Gavrilovich External Links: Math-Net.Ru · Wikidata · ORCID
 Documents Indexed: 84 Publications since 1974, including 2 Books
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#### Co-Authors

 55 single-authored 7 Vatutin, Vladimir Alekseevich 7 Zubkov, Andreĭ Mikhaĭlovich 5 Mezhennaya, Natal’ya Mikhaĭlovna 4 Chistyakov, Vladimir Pavlovich 4 Kopyttsev, Viktor A. 3 D’yakonova, Elena Evgen’evna 1 Afanas’ev, Valeriĭ Ivanovich 1 Chibisov, Dmitriĭ Mikhaĭlovich 1 Kolchin, Valentin F. 1 Mezhennaya, Nataliya Mikhaĭlovna 1 Shiryaev, Al’bert Nikolaevich 1 Shoitov, A. M.
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#### Serials

 23 Discrete Mathematics and Applications 18 Theory of Probability and its Applications 11 Obozrenie Prikladnoĭ i Promyshlennoĭ Matematiki 8 Teoriya Veroyatnosteĭ i eë Primeneniya 4 Mathematics of the USSR, Sbornik 4 Proceedings of the Steklov Institute of Mathematics 3 Matematicheskiĭ Sbornik. Novaya Seriya 2 Diskretnaya Matematika 2 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 1 Russian Mathematical Surveys
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#### Fields

 67 Probability theory and stochastic processes (60-XX) 13 Statistics (62-XX) 8 Computer science (68-XX) 5 Information and communication theory, circuits (94-XX) 4 Combinatorics (05-XX) 4 Numerical analysis (65-XX) 3 Number theory (11-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Approximations and expansions (41-XX)

#### Citations contained in zbMATH

34 Publications have been cited 103 times in 64 Documents Cited by Year
Limit theorems for the number of empty cells in an equiprobable scheme for group allocation of particles. Zbl 0536.60017
Vatutin, V. A.; Mikhajlov, V. G.
1982
Limit distributions of random variables associated with long duplications in a sequence of independent trials. Zbl 0326.60024
Zubkov, A. M.; Mikhajlov, V. G.
1974
Limit theorems for the number of empty cells in the equiprobable scheme of group disposal of particles. Zbl 0517.60008
Vatutin, V. A.; Mikhajlov, V. G.
1982
On a theorem of Janson. Zbl 0751.60021
Mikhajlov, V. G.
1991
Asymptotic normality of the number of empty cells for group allocation of particles. Zbl 0455.60015
Mikhajlov, V. G.
1980
Structural equivalence of $$s$$-tuples in random discrete sequences. Zbl 1046.60052
Mikhaĭlov, V. G.; Shoĭtov, A. M.
2003
Statistical estimation of the entropy of discrete random variables with a large number of outcomes. Zbl 0851.62009
Vatutin, V. A.; Mikhailov, V. G.
1995
A Poisson limit theorem in the scheme of group disposal of particles. Zbl 0377.60029
Mikhajlov, V. G.
1977
Asymptotic normality of decomposable statistics on the frequencies of m- tuples. Zbl 0728.62022
Mikhajlov, V. G.
1991
Asymptotic independence of vector components of multivariate extreme order statistics. Zbl 0327.62012
Mikhajlov, V. G.
1974
On the probability of existence of substrings with the same structure in a random sequence. Zbl 1397.60099
2017
Poisson-type theorems for the number of special solutions of a random linear inclusion. Zbl 1223.60048
Kopyttsev, V. A.; Mikhailov, V. G.
2010
Limit theorems for the number of points of a given set covered by a random linear subspace. Zbl 1046.60010
Mikhajlov, V. G.
2003
Limit theorems for the number of solutions of a system of random linear equations belonging to a given set. Zbl 1255.60017
Mikhailov, V. G.
2007
Bounds for the probability of a constrained embedding of one discrete sequence into another. Zbl 1096.94526
Mikhailov, V. G.; Mezhennaya, N. M.
2005
A Poisson theorem for the number of non-collinear solutions of a system of random equations. Zbl 1047.60016
Mikhajlov, V. G.
2001
Estimate of the accuracy of the compound Poisson approximation for the distribution of the number of matching patterns. Zbl 1040.60007
Mikhajlov, V. G.
2001
Limit theorems for the number of nonzero solutions of a system of random equations over $$GF(2)$$. Zbl 0951.60011
Mikhajlov, V. G.
1998
Asymptotic normality in a scheme of finitely dependent distribution of particles in cells. Zbl 0538.60015
Mikhajlov, V. G.
1984
Repetitions of s-tuples in a sequence of independent trials. Zbl 0434.60022
Zubkov, A. M.; Mikhajlov, V. G.
1980
On the repetitions of s-tuples in a sequence of independent trials. Zbl 0411.60020
Zubkov, A. M.; Mikhajlov, V. G.
1979
Limit distribution of random variables associated with multiple long duplications in a sequence of independent trials. Zbl 0326.60025
Mikhajlov, V. G.
1974
On frequencies of elements in multicyclic random sequence modulo 4. Zbl 1375.60065
Mezhennaya, Natalia M.; Mikhailov, Vladimir G.
2015
Poisson-type limit theorems for the generalised linear inclusion. Zbl 1266.60123
Kopyttsev, V. A.; Mikhailov, V. G
2012
On the asymptotic behaviour of the probability of existence of equivalent tuples with nontrivial structure in a random sequence. Zbl 1175.60052
Mikhailov, V. G.
2008
Poisson-type limit theorems for the number of incomplete matches of $$s$$-patterns. Zbl 1033.60026
Mikhajlov, V. G.
2002
Limit theorems for the number of non-zero solutions of a system of random equations over GF(2). Zbl 0969.60012
Mikhajlov, V. G.
2000
On a Poisson approximation for the distribution of the number of empty cells in a nonhomogeneous allocation scheme. Zbl 0909.60029
Mikhajlov, V. G.
1997
The number of readings of non-equiprobable files under stable sorting. Zbl 0868.68039
Vatutin, V. A.; Mikhailov, V. G.
1996
Explicit estimates in limit theorems for sums of random indicators. Zbl 0841.60014
Mikhajlov, V. G.
1994
Convergence to the multidimensional normal law in an equiprobable scheme of distributing particles by groups. Zbl 0463.60016
Mikhajlov, V. G.
1981
An estimate of the rate of convergence to the Poisson distribution in group allocation of particles. Zbl 0385.60082
Mikhajlov, V. G.
1977
A central limit theorem for the number of partial long repetitions. Zbl 0352.60017
Mikhajlov, V. G.
1975
Convergence to a process with independent increments in a scheme of increasing sums of dependent random variables. Zbl 0324.60023
Mikhajlov, V. G.
1975
On the probability of existence of substrings with the same structure in a random sequence. Zbl 1397.60099
2017
On frequencies of elements in multicyclic random sequence modulo 4. Zbl 1375.60065
Mezhennaya, Natalia M.; Mikhailov, Vladimir G.
2015
Poisson-type limit theorems for the generalised linear inclusion. Zbl 1266.60123
Kopyttsev, V. A.; Mikhailov, V. G
2012
Poisson-type theorems for the number of special solutions of a random linear inclusion. Zbl 1223.60048
Kopyttsev, V. A.; Mikhailov, V. G.
2010
On the asymptotic behaviour of the probability of existence of equivalent tuples with nontrivial structure in a random sequence. Zbl 1175.60052
Mikhailov, V. G.
2008
Limit theorems for the number of solutions of a system of random linear equations belonging to a given set. Zbl 1255.60017
Mikhailov, V. G.
2007
Bounds for the probability of a constrained embedding of one discrete sequence into another. Zbl 1096.94526
Mikhailov, V. G.; Mezhennaya, N. M.
2005
Structural equivalence of $$s$$-tuples in random discrete sequences. Zbl 1046.60052
Mikhaĭlov, V. G.; Shoĭtov, A. M.
2003
Limit theorems for the number of points of a given set covered by a random linear subspace. Zbl 1046.60010
Mikhajlov, V. G.
2003
Poisson-type limit theorems for the number of incomplete matches of $$s$$-patterns. Zbl 1033.60026
Mikhajlov, V. G.
2002
A Poisson theorem for the number of non-collinear solutions of a system of random equations. Zbl 1047.60016
Mikhajlov, V. G.
2001
Estimate of the accuracy of the compound Poisson approximation for the distribution of the number of matching patterns. Zbl 1040.60007
Mikhajlov, V. G.
2001
Limit theorems for the number of non-zero solutions of a system of random equations over GF(2). Zbl 0969.60012
Mikhajlov, V. G.
2000
Limit theorems for the number of nonzero solutions of a system of random equations over $$GF(2)$$. Zbl 0951.60011
Mikhajlov, V. G.
1998
On a Poisson approximation for the distribution of the number of empty cells in a nonhomogeneous allocation scheme. Zbl 0909.60029
Mikhajlov, V. G.
1997
The number of readings of non-equiprobable files under stable sorting. Zbl 0868.68039
Vatutin, V. A.; Mikhailov, V. G.
1996
Statistical estimation of the entropy of discrete random variables with a large number of outcomes. Zbl 0851.62009
Vatutin, V. A.; Mikhailov, V. G.
1995
Explicit estimates in limit theorems for sums of random indicators. Zbl 0841.60014
Mikhajlov, V. G.
1994
On a theorem of Janson. Zbl 0751.60021
Mikhajlov, V. G.
1991
Asymptotic normality of decomposable statistics on the frequencies of m- tuples. Zbl 0728.62022
Mikhajlov, V. G.
1991
Asymptotic normality in a scheme of finitely dependent distribution of particles in cells. Zbl 0538.60015
Mikhajlov, V. G.
1984
Limit theorems for the number of empty cells in an equiprobable scheme for group allocation of particles. Zbl 0536.60017
Vatutin, V. A.; Mikhajlov, V. G.
1982
Limit theorems for the number of empty cells in the equiprobable scheme of group disposal of particles. Zbl 0517.60008
Vatutin, V. A.; Mikhajlov, V. G.
1982
Convergence to the multidimensional normal law in an equiprobable scheme of distributing particles by groups. Zbl 0463.60016
Mikhajlov, V. G.
1981
Asymptotic normality of the number of empty cells for group allocation of particles. Zbl 0455.60015
Mikhajlov, V. G.
1980
Repetitions of s-tuples in a sequence of independent trials. Zbl 0434.60022
Zubkov, A. M.; Mikhajlov, V. G.
1980
On the repetitions of s-tuples in a sequence of independent trials. Zbl 0411.60020
Zubkov, A. M.; Mikhajlov, V. G.
1979
A Poisson limit theorem in the scheme of group disposal of particles. Zbl 0377.60029
Mikhajlov, V. G.
1977
An estimate of the rate of convergence to the Poisson distribution in group allocation of particles. Zbl 0385.60082
Mikhajlov, V. G.
1977
A central limit theorem for the number of partial long repetitions. Zbl 0352.60017
Mikhajlov, V. G.
1975
Convergence to a process with independent increments in a scheme of increasing sums of dependent random variables. Zbl 0324.60023
Mikhajlov, V. G.
1975
Limit distributions of random variables associated with long duplications in a sequence of independent trials. Zbl 0326.60024
Zubkov, A. M.; Mikhajlov, V. G.
1974
Asymptotic independence of vector components of multivariate extreme order statistics. Zbl 0327.62012
Mikhajlov, V. G.
1974
Limit distribution of random variables associated with multiple long duplications in a sequence of independent trials. Zbl 0326.60025
Mikhajlov, V. G.
1974
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#### Cited by 69 Authors

 10 Mikhaĭlov, Vladimir Gavrilovich 3 Kopyttsev, Viktor A. 3 Mahmoud, Hosam M. 3 Tikhomirova, Margarita I. 2 Barakat, Haroon Mohamed 2 Chistyakov, Vladimir Pavlovich 2 Féray, Valentin 2 Kruglov, Vasiliy I. 2 Leonenko, Nikolai N. 2 Masol, Volodymyr I. 2 Mattner, Lutz 2 Mezhennaya, Natal’ya Mikhaĭlovna 2 Nigm, E. M. 2 Seleznjev, Oleg 2 Timofeev, Eugeny A. 2 Tong, Zhang 2 Zubkov, Andreĭ Mikhaĭlovich 1 Abdushukurov, Faĭzikhutdin Abdurakhimovich 1 Alawady, Metwally A. 1 Aldous, David John 1 Askar, M. M. 1 Balaji, Srinivasan 1 Chatterjee, Sourav 1 Chebunin, Mikhail Georgievich 1 Chen, Robert W. 1 Diaconis, Persi Warren 1 Ehm, Werner 1 Erdős, Pál 1 Fousler, David E. 1 Fulman, Jason E. 1 Greene, Evan 1 Hammett, Adam 1 Harris, Bernard J. 1 Hsing, Tailen 1 Ivanov, V. A. 1 Ivchenko, G. I. 1 Källberg, David 1 Karlin, Samuel 1 Karymov, D. N. 1 Keevash, Peter 1 Klenke, Achim 1 Knox, Fiachra 1 Kravchenko, I. A. 1 Kruopis, Yu. 1 Lebedev, Alexey V. 1 Medvedev, Yu. I. 1 Mezhennaya, Nataliya Mikhaĭlovna 1 Mikhaylov, Vladimir G. 1 Mirakhmedov, Saidbek S. 1 Mirakhmedov, Sherzod Mira’zam 1 Mitwalli, Saleh M. 1 Mycroft, Richard 1 Noughabi, Hadi Alizadeh 1 Novak, Serguei Yu. 1 Orlov, Oleg P. 1 Pittel, Boris G. 1 Röllin, Adrian 1 Romashova, L. O. 1 Rukhin, Andrew L. 1 Schulz, Jona 1 Shoitov, A. M. 1 Skipper, Max 1 Slobodyan, S. Ya. 1 Smythe, Robert T. 1 Takahashi, Rinya 1 Teerapabolarn, Kanint 1 Volkovich, Vladimir E. 1 Wellner, Jon August 1 Zhou, Quan
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#### Cited in 30 Serials

 21 Discrete Mathematics and Applications 4 Statistics & Probability Letters 3 Journal of Applied Probability 3 Journal of Multivariate Analysis 2 Advances in Applied Probability 2 Journal of Statistical Planning and Inference 2 Transactions of the American Mathematical Society 2 Journal of Statistical Computation and Simulation 2 Stochastic Processes and their Applications 2 Theory of Probability and Mathematical Statistics 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Indian Journal of Pure & Applied Mathematics 1 Lithuanian Mathematical Journal 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Problems of Information Transmission 1 Advances in Mathematics 1 Journal of Soviet Mathematics 1 Mathematica Slovaca 1 Journal of Theoretical Probability 1 The Annals of Applied Probability 1 St. Petersburg Mathematical Journal 1 Electronic Journal of Probability 1 Journal of Nonparametric Statistics 1 Methodology and Computing in Applied Probability 1 Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya: Matematika, Mekhanika, Informatika 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Proceedings of the Steklov Institute of Mathematics 1 Probability Surveys 1 Ufimskiĭ Matematicheskiĭ Zhurnal
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#### Cited in 15 Fields

 50 Probability theory and stochastic processes (60-XX) 20 Statistics (62-XX) 11 Combinatorics (05-XX) 4 Information and communication theory, circuits (94-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Measure and integration (28-XX) 2 Numerical analysis (65-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Computer science (68-XX)