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 Author ID: mikhajlov.v-g Published as: Mikhajlov, V. G.; Mikhaĭlov, V. G.; Mikhailov, V. G.; Mikhailov, Vladimir G.; Mikhaĭlov, Vladimir Gavrilovich; Mikhaĭlov, Vladimir G.; Mihajlov, V. G.; Mikhailov, V. G External Links: ORCID · Wikidata · Math-Net.Ru
 Documents Indexed: 104 Publications since 1974, including 2 Books
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#### Co-Authors

 59 single-authored 9 Zubkov, Andreĭ Mikhaĭlovich 7 Vatutin, Vladimir Alekseevich 6 Kopyttsev, Viktor A. 5 Mezhennaya, Natal’ya Mikhaĭlovna 4 Chistyakov, Vladimir Pavlovich 4 Kopytsev, V. A. 4 Shoitov, A. M. 3 D’yakonova, Elena Evgen’evna 2 Buravlev, S. M. 2 Kovalenko, A. P. 2 Medvedev, Yuriĭ Ivanovich 2 Mikhalëv, Aleksandr Vasil’evich 2 Pogorelov, Boris A. 2 Sachkov, Vladimir N. 1 Afanas’ev, Valeriĭ Ivanovich 1 Balakin, G. V. 1 Chibisov, Dmitriĭ Mikhaĭlovich 1 Glukhov, Mikhail Mikhaĭlovich 1 Gorshkov, S. P. 1 Ivchenko, Grigoriĭ Ivanovich 1 Kolchin, Valentin F. 1 Kozlitin, Oleg A. 1 Kuz’min, Alekseĭ Sergeevich 1 Lapshin, A. V. 1 Latyshev, Viktor Nikolaevich 1 Markov, A. I. 1 Markov, V. N. 1 Matyukhin, D. V. 1 Mezhennaya, Nataliya Mikhaĭlovna 1 Mironkin, Vladimir O. 1 Nechaev, Aleksandr Aleksandrovich 1 Nesterenko, Yuriĭ Valentinovich 1 Pichkur, A. B. 1 Prokhorov, Yuriĭ Vasil’evich 1 Shaposhnikov, I. G. 1 Shiryaev, Al’bert Nikolaevich 1 Shishkin, V. A. 1 Tarasov, Alexey V. 1 Volgin, Artem V.
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#### Serials

 23 Discrete Mathematics and Applications 19 Matematicheskie Voprosy Kriptografii 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 1 Prikladnaya Diskretnaya Matematika
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#### Fields

 85 Probability theory and stochastic processes (60-XX) 15 Statistics (62-XX) 8 Computer science (68-XX) 8 Information and communication theory, circuits (94-XX) 5 Combinatorics (05-XX) 5 Numerical analysis (65-XX) 4 History and biography (01-XX) 4 Number theory (11-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 2 General and overarching topics; collections (00-XX) 1 Real functions (26-XX)

#### Citations contained in zbMATH Open

40 Publications have been cited 147 times in 90 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 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
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
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 a theorem of Janson. Zbl 0751.60021
Mikhajlov, V. G.
1991
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
Asymptotic normality of the number of empty cells for group allocation of particles. Zbl 0455.60015
Mikhajlov, V. G.
1980
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
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
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
Asymptotic independence of vector components of multivariate extreme order statistics. Zbl 0327.62012
Mikhajlov, V. G.
1974
A Poisson theorem for the number of non-collinear solutions of a system of random equations. Zbl 1047.60016
Mikhajlov, V. G.
2001
Poisson-type limit theorems for the generalised linear inclusion. Zbl 1266.60123
Kopyttsev, V. A.; Mikhailov, V. G
2012
On the probability of existence of substrings with the same structure in a random sequence. Zbl 1397.60099
2017
The number of readings of non-equiprobable files under stable sorting. Zbl 0868.68039
Vatutin, V. A.; Mikhailov, V. G.
1996
Asymptotic normality in a scheme of finitely dependent distribution of particles in cells. Zbl 0538.60015
Mikhajlov, V. G.
1984
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 the sets of images of $$k$$-fold iteration of uniform random mapping. Zbl 07397581
Mironkin, V. O.; Mikhaĭlov, V. G.
2018
On asymptotic properties of the distribution of the number of pairs of $$H$$-connected tuples. Zbl 1046.60007
Mikhajlov, V. G.
2002
On frequencies of elements in multicyclic random sequence modulo 4. Zbl 1375.60065
Mezhennaya, Natalia M.; Mikhailov, Vladimir G.
2015
Limit theorems for the number of nonzero solutions of a system of random equations over $$GF(2)$$. Zbl 0951.60011
Mikhajlov, V. G.
1998
Convergence to the multidimensional normal law in an equiprobable scheme of distributing particles by groups. Zbl 0463.60016
Mikhajlov, V. G.
1981
Problems of the theory of finite automata concerned with the number of preimages of an output sequence. Zbl 0845.68074
Mikhailov, V. G.; Chistyakov, V. P.
1994
Bounds for the probability of a constrained embedding of one discrete sequence into another. Zbl 1096.94526
Mikhailov, V. G.; Mezhennaya, N. M.
2005
Repetitions of s-tuples in a sequence of independent trials. Zbl 0434.60022
Zubkov, A. M.; Mikhajlov, V. G.
1980
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
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 non-zero solutions of a system of random equations over GF(2). Zbl 0969.60012
Mikhajlov, V. G.
2000
Repetition of states of a random-number generator under multiple access. Zbl 0857.65008
Mikhailov, V. G.
1995
Limit theorems for a random covering of a finite set and for the number of solutions of a system of random equations. Zbl 0881.60089
Mikhajlov, V. G.
1996
Explicit estimates in limit theorems for sums of random indicators. Zbl 0841.60014
Mikhajlov, V. G.
1994
Estimate for the accuracy of the Poisson approximation for the number of empty cells in an equiprobable scheme for group allocation of particles, and applications. Zbl 1301.60039
Mikhailov, V. G.
2013
An estimate of the rate of convergence to the Poisson distribution in group allocation of particles. Zbl 0385.60082
Mikhajlov, V. G.
1977
Convergence to a process with independent increments in a scheme of increasing sums of dependent random variables. Zbl 0324.60023
Mikhajlov, V. G.
1975
A central limit theorem for the number of partial long repetitions. Zbl 0352.60017
Mikhajlov, V. G.
1975
Poisson-type limit theorems for the number of incomplete matches of $$s$$-patterns. Zbl 1033.60026
Mikhajlov, V. G.
2002
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
On the sets of images of $$k$$-fold iteration of uniform random mapping. Zbl 07397581
Mironkin, V. O.; Mikhaĭlov, V. G.
2018
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
Estimate for the accuracy of the Poisson approximation for the number of empty cells in an equiprobable scheme for group allocation of particles, and applications. Zbl 1301.60039
Mikhailov, V. G.
2013
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
On asymptotic properties of the distribution of the number of pairs of $$H$$-connected tuples. Zbl 1046.60007
Mikhajlov, V. G.
2002
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
Limit theorems for a random covering of a finite set and for the number of solutions of a system of random equations. Zbl 0881.60089
Mikhajlov, 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
Repetition of states of a random-number generator under multiple access. Zbl 0857.65008
Mikhailov, V. G.
1995
Problems of the theory of finite automata concerned with the number of preimages of an output sequence. Zbl 0845.68074
Mikhailov, V. G.; Chistyakov, V. P.
1994
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
Convergence to a process with independent increments in a scheme of increasing sums of dependent random variables. Zbl 0324.60023
Mikhajlov, V. G.
1975
A central limit theorem for the number of partial long repetitions. Zbl 0352.60017
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 in 32 Serials

 23 Matematicheskie Voprosy Kriptografii 21 Discrete Mathematics and Applications 4 Statistics & Probability Letters 3 Advances in Applied Probability 3 Journal of Applied Probability 3 Prikladnaya Diskretnaya Matematika 2 Journal of Multivariate Analysis 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

 74 Probability theory and stochastic processes (60-XX) 24 Statistics (62-XX) 19 Combinatorics (05-XX) 10 Information and communication theory, circuits (94-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 2 Number theory (11-XX) 2 Measure and integration (28-XX) 2 Computer science (68-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Numerical analysis (65-XX)

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