# zbMATH — the first resource for mathematics

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 Documents Indexed: 81 Publications since 1957, including 11 Books
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#### Co-Authors

 29 single-authored 13 Tikhomirova, Margarita I. 10 Kolchin, Valentin F. 9 Sevast’yanov, Boris Aleksandrovich 4 Mikhaĭlov, Vladimir Gavrilovich 4 Selivanov, Boris I. 3 Dorogov, V. I. 3 Gol’tyaeva, O. N. 3 Zhukov, A. E. 2 Tarakanov, V. E. 2 Televinova, T. M. 2 Vatutin, Vladimir Alekseevich 2 Viktorova, I. I. 2 Zubkov, Andreĭ Mikhaĭlovich 1 Afanas’ev, Valeriĭ Ivanovich 1 Chibisov, Dmitriĭ Mikhaĭlovich 1 Chistyakov, P. V. 1 D’yakonova, Elena Evgen’evna 1 Handogin, V. I. 1 Markova, N. P. 1 Savin, A. A. 1 Shiryaev, Al’bert Nikolaevich 1 Zakharov, Valeriĭ Konstantinovich
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#### Serials

 18 Theory of Probability and its Applications 17 Discrete Mathematics and Applications 9 Teoriya Veroyatnosteĭ i eë Primeneniya 6 Soviet Mathematics. Doklady 5 Obozrenie Prikladnoĭ i Promyshlennoĭ Matematiki 4 Mathematical Notes 2 Matematicheskie Zametki 2 Proceedings of the Steklov Institute of Mathematics 1 Journal of Soviet Mathematics 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Automation and Remote Control 1 Mathematics of the USSR, Sbornik
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#### Fields

 51 Probability theory and stochastic processes (60-XX) 24 Statistics (62-XX) 4 Computer science (68-XX) 3 General and overarching topics; collections (00-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Numerical analysis (65-XX) 3 Quantum theory (81-XX) 3 Information and communication theory, circuits (94-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Sequences, series, summability (40-XX)

#### Citations contained in zbMATH

30 Publications have been cited 258 times in 237 Documents Cited by Year
A theorem on sums of independent positive random variables and its applications to branching random processes. Zbl 0203.19401
Chistyakov, V. P.
1964
Random allocations. Zbl 0464.60002
Kolchin, V. F.; Sevast’yanov, B. A.; Chistyakov, V. P.
1976
Random allocations. Translation editor A. V. Balakrishnan. Zbl 0376.60003
Kolchin, Valentin F.; Sevast’yanov, Boris A.; Chistyakov, Vladimir P.
1978
Asymptotic normality in the classical ball problem. Zbl 0142.14704
Sevast’yanov, B. A.; Chistyakov, V. P.
1965
Some theorems for branching processes with several types of particles. Zbl 0134.34002
Savin, A. A.; Chistyakov, V. P.
1962
On a combinatorial limit theorem. Zbl 0314.60011
Kolchin, V. F.; Chistyakov, V. P.
1973
On the asymptotic behaviour of moments of the number of absent $$s$$-tuples. Zbl 0898.60015
Tikhomirova, M. I.; Chistyakov, V. P.
1997
Probability theory. Textbook. Zbl 0543.60002
Zakharov, V. K.; Sevast’yanov, B. A.; Chistyakov, V. P.
1983
Random allocations. Transl. from the Russian, ed. by A. V. Balakrishnan. Zbl 0464.60003
Kolchin, Valentin F.; Sevast’yanov, Boris A.; Chistyakov, Vladimir P.
1978
Discrete limit distributions in the problem of balls falling in cells with arbitrary probabilities. Zbl 0184.21404
Chistyakov, V. P.
1967
On the calculation of the power of the test of empty boxes. Zbl 0211.50902
Chistyakov, V. P.
1964
The cyclic structure of random permutations. Zbl 0344.60015
Kolchin, V. F.; Chistyakov, V. P.
1976
Some generalization of the test of empty boxes. Zbl 0161.38101
Viktorova, I. I.; Chistyakov, V. P.
1966
Local limit theorems for branching processes. Zbl 0089.34301
Chistyakov, V. P.
1957
A course in probability theory. Textbook. (Kurs teorii veroyatnostej. Uchebnoe posobie). 2nd ed., rev. and compl. Zbl 0549.60001
Chistyakov, V. P.
1982
On an estimate for the Perron root of a nonnegative matrix. Zbl 0428.15009
Chistyakov, V. P.
1979
Multidimensional renewal equations and moments of branching processes. Zbl 0239.60079
Sevast’yanov, B. A.; Chistyakov, V. P.
1971
On convergence of branching processes to diffusion processes. Zbl 0232.60068
Chistyakov, V. P.
1971
Asymptotic normality in a problem of balls when the probabilities of falling into different boxes are different. Zbl 0211.49003
Viktorova, I. I.; Chistyakov, V. P.
1965
On the asymptotic normality of some sums of dependent random variables. Zbl 1377.60043
Tikhomirova, Margarita I.; Chistjakov, Vladimir P.
2017
On properties of the likelihood function in the problem of estimation of the instants of changes of the success probability in nonhomogeneous Bernoulli trials. Zbl 1204.62030
Tikhomirova, M. I.; Chistyakov, V. P.
2010
On two statics of chi-square type based on frequencies of tuples of states of a high-order Markov chain. Zbl 1046.62080
Tikhomirova, M. I.; Chistyakov, V. P.
2003
Multivariate chi-square distribution for non-homogeneous polynomial scheme. Zbl 0959.62050
Selivanov, B. I.; Chistyakov, V. P.
1998
The sequential chi-square test based on $$s$$-tuples of states of a Markov chain. Zbl 0979.62056
Selivanov, B. I.; Chistyakov, V. P.
1997
Matrix approach to an analysis of preimages of an output sequence of a finite automaton. Zbl 0925.68314
Zhukov, A. E.; Chistyakov, V. P.
1994
On the number of input sequences corresponding to an output sequence of a finite automaton. Zbl 0845.68075
Sevast’yanov, B. A.; Chistyakov, V. P.
1994
A course in probability theory. Textbook. (Kurs teorii veroyatnostej. Uchebnik). 3rd ed., rev. Zbl 0625.60002
Chistyakov, V. P.
1987
Combinatorial problems of probability theory. Zbl 0337.60016
Kolchin, V. F.; Chistyakov, V. P.
1976
The asymptotic behavior of the non-extinction probability for a critical branching process. Zbl 0252.60032
Chistyakov, V. P.
1971
Generalization of a theorem for branching processes. Zbl 0090.35002
Chistyakov, V. P.
1959
On the asymptotic normality of some sums of dependent random variables. Zbl 1377.60043
Tikhomirova, Margarita I.; Chistjakov, Vladimir P.
2017
On properties of the likelihood function in the problem of estimation of the instants of changes of the success probability in nonhomogeneous Bernoulli trials. Zbl 1204.62030
Tikhomirova, M. I.; Chistyakov, V. P.
2010
On two statics of chi-square type based on frequencies of tuples of states of a high-order Markov chain. Zbl 1046.62080
Tikhomirova, M. I.; Chistyakov, V. P.
2003
Multivariate chi-square distribution for non-homogeneous polynomial scheme. Zbl 0959.62050
Selivanov, B. I.; Chistyakov, V. P.
1998
On the asymptotic behaviour of moments of the number of absent $$s$$-tuples. Zbl 0898.60015
Tikhomirova, M. I.; Chistyakov, V. P.
1997
The sequential chi-square test based on $$s$$-tuples of states of a Markov chain. Zbl 0979.62056
Selivanov, B. I.; Chistyakov, V. P.
1997
Matrix approach to an analysis of preimages of an output sequence of a finite automaton. Zbl 0925.68314
Zhukov, A. E.; Chistyakov, V. P.
1994
On the number of input sequences corresponding to an output sequence of a finite automaton. Zbl 0845.68075
Sevast’yanov, B. A.; Chistyakov, V. P.
1994
A course in probability theory. Textbook. (Kurs teorii veroyatnostej. Uchebnik). 3rd ed., rev. Zbl 0625.60002
Chistyakov, V. P.
1987
Probability theory. Textbook. Zbl 0543.60002
Zakharov, V. K.; Sevast’yanov, B. A.; Chistyakov, V. P.
1983
A course in probability theory. Textbook. (Kurs teorii veroyatnostej. Uchebnoe posobie). 2nd ed., rev. and compl. Zbl 0549.60001
Chistyakov, V. P.
1982
On an estimate for the Perron root of a nonnegative matrix. Zbl 0428.15009
Chistyakov, V. P.
1979
Random allocations. Translation editor A. V. Balakrishnan. Zbl 0376.60003
Kolchin, Valentin F.; Sevast’yanov, Boris A.; Chistyakov, Vladimir P.
1978
Random allocations. Transl. from the Russian, ed. by A. V. Balakrishnan. Zbl 0464.60003
Kolchin, Valentin F.; Sevast’yanov, Boris A.; Chistyakov, Vladimir P.
1978
Random allocations. Zbl 0464.60002
Kolchin, V. F.; Sevast’yanov, B. A.; Chistyakov, V. P.
1976
The cyclic structure of random permutations. Zbl 0344.60015
Kolchin, V. F.; Chistyakov, V. P.
1976
Combinatorial problems of probability theory. Zbl 0337.60016
Kolchin, V. F.; Chistyakov, V. P.
1976
On a combinatorial limit theorem. Zbl 0314.60011
Kolchin, V. F.; Chistyakov, V. P.
1973
Multidimensional renewal equations and moments of branching processes. Zbl 0239.60079
Sevast’yanov, B. A.; Chistyakov, V. P.
1971
On convergence of branching processes to diffusion processes. Zbl 0232.60068
Chistyakov, V. P.
1971
The asymptotic behavior of the non-extinction probability for a critical branching process. Zbl 0252.60032
Chistyakov, V. P.
1971
Discrete limit distributions in the problem of balls falling in cells with arbitrary probabilities. Zbl 0184.21404
Chistyakov, V. P.
1967
Some generalization of the test of empty boxes. Zbl 0161.38101
Viktorova, I. I.; Chistyakov, V. P.
1966
Asymptotic normality in the classical ball problem. Zbl 0142.14704
Sevast’yanov, B. A.; Chistyakov, V. P.
1965
Asymptotic normality in a problem of balls when the probabilities of falling into different boxes are different. Zbl 0211.49003
Viktorova, I. I.; Chistyakov, V. P.
1965
A theorem on sums of independent positive random variables and its applications to branching random processes. Zbl 0203.19401
Chistyakov, V. P.
1964
On the calculation of the power of the test of empty boxes. Zbl 0211.50902
Chistyakov, V. P.
1964
Some theorems for branching processes with several types of particles. Zbl 0134.34002
Savin, A. A.; Chistyakov, V. P.
1962
Generalization of a theorem for branching processes. Zbl 0090.35002
Chistyakov, V. P.
1959
Local limit theorems for branching processes. Zbl 0089.34301
Chistyakov, V. P.
1957
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#### Cited by 298 Authors

 15 Wang, Yuebao 13 Tang, Qihe 9 Wang, Kaiyong 7 Vatutin, Vladimir Alekseevich 7 Zubkov, Andreĭ Mikhaĭlovich 6 Chistyakov, Vladimir Pavlovich 5 D’yakonova, Elena Evgen’evna 5 Šiaulys, Jonas 4 Baltrūnas, Aleksandras 4 Cheng, Dongya 4 Foss, Sergey G. 4 Gardy, Danièle 4 Ivchenko, G. I. 4 Korshunov, Dmitry 4 Sgibnev, Mikhaĭl Sergeevich 4 Tikhomirova, Margarita I. 4 Yu, Changjun 3 Geluk, Jaap L. 3 Harris, Bernard J. 3 Kolchin, Valentin F. 3 Lin, Jianxi 3 Mahmoud, Hosam M. 3 Mikhaĭlov, Vladimir Gavrilovich 3 Omey, Edward 3 Pakes, Anthony G. 3 Park, Cheon Jong 3 Rukhin, Andrew L. 3 Watanabe, Toshiro 3 Yakymiv, Arsen Lubomirovich 2 Ayhan, Hayriye 2 Cui, Zhaolei 2 Denisov, Denis E. 2 Devroye, Luc P. J. A. 2 Diaconis, Persi Warren 2 Even, Guy 2 Frolov, Andrei N. 2 Gao, Qingwu 2 Goldstein, Larry 2 Gyori, Istvan 2 Holst, Lars 2 Hwang, Hsien-Kuei 2 Ivanov, V. A. 2 Klüppelberg, Claudia 2 Malalla, Ebrahim 2 Medina, Moti 2 Menon, V. V. 2 Nakata, Toshio 2 Ney, Peter E. 2 Ng, Kai Wang 2 Nishimura, Kazuo 2 Prasad, Badri Nath 2 Samorodnitsky, Gennady Pinkhosovich 2 Scheutzow, Michael K. R. 2 Schlegel, Sabine 2 Sibuya, Masaaki 2 Smythe, Robert T. 2 Teugels, Jozef L. 2 Timonina, E. E. 2 Tsitsiashvili, Gurami Sh. 2 Xu, Hui 2 Yang, Yang 2 Zachary, Stan 2 Zhou, Harrison H. 2 Zhukov, A. E. 1 Afanas’ev, Valeriĭ Ivanovich 1 Aldous, David John 1 Alekseychuk, Anton Nikolaevich 1 Andrulytė, Ieva Marija 1 Apolloni, Bruno 1 Appleby, John A. D. 1 Athanasiadis, Christos A. 1 Athreya, Krishna Balasundaram 1 Balaji, Srinivasan 1 Barbe, Philippe 1 Beck, Sergej 1 Becker-Kern, Peter 1 Beirlant, Jan 1 Bernackaitė, Emilija 1 Bertoin, Jean 1 Bezrodnyy, Boris F. 1 Błaszczyszyn, Bartłomiej 1 Blath, Jochen 1 Bogachev, Leonid V. 1 Bon, Jean-Louis 1 Borovkov, Aleksandr Alekseevich 1 Boufkhad, Yacine 1 Burioni, Raffaella 1 Carpenter, John A. 1 Carrillo-Menéndez, Santiago 1 Chen, Louis Hsiao-Yun 1 Chen, Rui 1 Chen, Wei 1 Chen, Wen-Chen 1 Chen, Yang 1 Chen, Yu 1 Cheng, Fengyang 1 Chibisov, Dmitriĭ Mikhaĭlovich 1 Chleboun, Paul 1 Cline, Daren B. H. 1 Compton, Kevin J. ...and 198 more Authors
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#### Cited in 85 Serials

 15 Mathematical Notes 15 Statistics & Probability Letters 13 Journal of Applied Probability 12 Advances in Applied Probability 11 Discrete Mathematics and Applications 8 Insurance Mathematics & Economics 7 Lithuanian Mathematical Journal 6 Journal of Mathematical Analysis and Applications 6 The Annals of Probability 6 Journal of Statistical Planning and Inference 6 Journal of Theoretical Probability 6 Communications in Statistics. Theory and Methods 5 Theoretical Computer Science 5 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 5 Stochastic Processes and their Applications 5 Bernoulli 4 Annals of the Institute of Statistical Mathematics 4 Journal of Soviet Mathematics 4 Siberian Mathematical Journal 4 Advances in Applied Mathematics 4 The Annals of Applied Probability 4 Proceedings of the Steklov Institute of Mathematics 3 Transactions of the American Mathematical Society 3 Probability Theory and Related Fields 3 Extremes 3 Modern Stochastics. Theory and Applications 2 Acta Mathematica Academiae Scientiarum Hungaricae 2 Discrete Mathematics 2 Theory of Probability and its Applications 2 Theoretical Population Biology 2 Acta Applicandae Mathematicae 2 Linear Algebra and its Applications 2 Cybernetics and Systems Analysis 2 Journal of Mathematical Sciences (New York) 2 Frontiers of Mathematics in China 2 Electronic Journal of Statistics 1 Analysis Mathematica 1 Computers & Mathematics with Applications 1 Discrete Applied Mathematics 1 Mathematical Biosciences 1 Physics Reports 1 Problems of Information Transmission 1 The Annals of Statistics 1 Journal of Algebra 1 Journal of Combinatorial Theory. Series A 1 Journal of Computational and Applied Mathematics 1 Journal of Multivariate Analysis 1 Networks 1 Osaka Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 RAIRO, Informatique Théorique 1 Semigroup Forum 1 Moscow University Computational Mathematics and Cybernetics 1 European Journal of Combinatorics 1 Mathematical Social Sciences 1 SIAM Journal on Algebraic and Discrete Methods 1 Operations Research Letters 1 Stochastic Analysis and Applications 1 Annals of Pure and Applied Logic 1 Acta Mathematicae Applicatae Sinica. English Series 1 Sequential Analysis 1 Mathematical and Computer Modelling 1 Queueing Systems 1 Science in China. Series A 1 Random Structures & Algorithms 1 Designs, Codes and Cryptography 1 European Journal of Operational Research 1 International Journal of Computer Mathematics 1 Journal of Statistical Computation and Simulation 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Vestnik St. Petersburg University. Mathematics 1 Theory of Probability and Mathematical Statistics 1 Doklady Mathematics 1 Journal of Inequalities and Applications 1 Acta Mathematica Sinica. English Series 1 Methodology and Computing in Applied Probability 1 Journal of Applied Mathematics 1 Quantum Information Processing 1 Journal of Statistical Mechanics: Theory and Experiment 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Journal of Industrial and Management Optimization 1 Journal of the Korean Statistical Society 1 International Journal of Stochastic Analysis 1 Advances in Decision Sciences 1 Statistics and Computing
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#### Cited in 34 Fields

 177 Probability theory and stochastic processes (60-XX) 64 Statistics (62-XX) 30 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 17 Combinatorics (05-XX) 15 Computer science (68-XX) 7 Operations research, mathematical programming (90-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Biology and other natural sciences (92-XX) 4 Numerical analysis (65-XX) 3 Number theory (11-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Integral transforms, operational calculus (44-XX) 3 Information and communication theory, circuits (94-XX) 2 History and biography (01-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Partial differential equations (35-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 2 Convex and discrete geometry (52-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX)