01.01.05 (Probability theory and mathematical statistics)
Birth date:
19.04.1934
Keywords:
branching processes; random allocations; finite-state automatons; statistical criterion.
Subject:
The transition phenomena in branching processes with several types of particles are investigated (TVP 1961, 6(1), 31–46 and 1972, 17(4), 669–678). The limited distributions for the number of empty cells are obtained for the different schemes of the allocation of the particles in the cells. The power of the test of empty boxes and of its generalizations are calculated. The class of subexponential distributions is defined and investigated (TVP 1964, no. 4, 710–718). The solution of the renewal equation for the distribution of this class is asymptotically non exponential. The estimations of the Perron root for nonnegative matrix are obtained and expressed by Perron root of lower dimension matrixes (DAN, 1979, 246, no. 3, 548–550). A number of publications (in the cooperation with physics and mathematics) are devoted to the applications of the probability theory and mathematical statistics in spectrometry experiments and in the investigations of the nuclear reactor processes. The numerical solution of the linear system by regularization method is considered. Its statistical interpretation is suggested (DAN, 1982, 265, no. 6, 1324–1326, Mat. Zamet., 1982, 32, no. 6, 889–899; TVP, 1984, 29(1), 173–174). In the cooperation with B. A. Sevastyanov and M. I. Tikhomirova the number of results in the theory of the finite-state automatons and testing pseudorandom sequences are obtained.
Biography
Graduated from Faculty of Mathematics and Mechanics of M. V. Lomonosov Moscow State University (MSU) in 1957 (department of probability theory). Ph.D. thesis was defended in 1960. D.Sci. thesis was defended in 1973. A list of my works contains more than 100 titles.
Main publications:
Kolchin V. F., Sevastyanov B. A., Chistyakov V. P. Sluchainye razmescheniya. M.: Nauka, 1976, 222 s.
Vatutin V. A., Televinova T. M., Chistyakov V. P. Veroyatnostnye metody v fizicheskikh issledovaniyakh. M.:Nauka, 1985, 207 s.
Dorogov V. I., Chistyakov V. P. Veroyatnostnye modeli prevrascheniya chastits. M.: Nauka, 1988, 110 s.
Tikhomirova M. I., Chistyakov V. P. O statistikakh tipa khi-kvadrat, postroennykh po vykhodu konechnogo avtomata. Trudy po diskretnoi matematike. M.: TVP, 1998, 2, 305–314.
Chistyakov V. P. Kurs teorii veroyatnostei. 5-e izdanie, M.: Agar, 2000. 256 s. (1-e, 2-e, 3-e izdanie, M.: Nauka, 1978, 1982, 1987; 4-e izdanie, M.: Agar, 1996).
B. I. Selivanov, V. P. Chistyakov, “On the waiting time for repeated hits of particles into the cells in the polynomial allocated scheme”, Discrete Math. Appl., 30:6 (2020), 409–415
2.
B. I. Selivanov, V. P. Chistyakov, “Limit theorems for the number of successes in random binary sequences with random embeddings”, Discrete Math. Appl., 26:6 (2016), 355–367
3.
M. I. Tikhomirova, V. P. Chistyakov, “On the asymptotic normality of some sums of dependent random variables”, Discrete Math. Appl., 27:2 (2017), 123–129
4.
M. I. Tikhomirova, V. P. Chistyakov, “Asymptotic normality of numbers of non-occurring values of $m$-dependent random variables”, Discrete Math. Appl., 24:5 (2014), 305–317
5.
V. P. Chistyakov, “On the asymptotic normality of the number of empty cells in a scheme of group allocation of particles”, Discrete Math. Appl., 24:6 (2014), 319–325
6.
V. P. Chistyakov, “On the asymptotic normality in a scheme of allocation of non-equiprobable particle sets”, Mat. Vopr. Kriptogr., 5:4 (2014), 129–138
7.
V. P. Chistyakov, “Waiting Time in a Scheme of Allocating Particles to Cells”, Proc. Steklov Inst. Math., 282 (2013), 73–79
8.
V. P. Chistyakov, “Asymptotic normality of the number of values of $m$-dependent random variables which occur a given number of times”, Discrete Math. Appl., 21:1 (2011), 23–37
9.
M. I. Tikhomirova, V. P. Chistyakov, “Asymptotic normality of the number of non-appeared values in random $m$-dependent sequences”, Mat. Vopr. Kriptogr., 2:1 (2011), 119–129
10.
M. I. Tikhomirova, V. P. Chistyakov, “On properties of the likelihood function in the problem of estimation of the instants of changes of the success probability in nonhomogeneous Bernoulli trials”, Discrete Math. Appl., 20:2 (2010), 213–220
11.
M. I. Tikhomirova, V. P. Chistyakov, “The statistical test of the empty cells type”, Mat. Vopr. Kriptogr., 1:1 (2010), 101–108
12.
M. I. Tikhomirova, V. P. Chistyakov, “On the estimation of the periods of noisy binary periodic sequences”, Discrete Math. Appl., 19:4 (2009), 361–370
13.
M. I. Tikhomirova, V. P. Chistyakov, “Some statistics of $\chi^2$ type dependent on the frequencies of long tuples of outcomes in independent trials”, Tr. Diskr. Mat., 11, no. 1, Fizmatlit, Moscow, 2008, 144–150
14.
M. I. Tikhomirova, V. P. Chistyakov, “On the homogeneity of samples testing based on the frequencies of tuples of outcomes in a sequence of trials with unknown probabilities of outcomes”, Tr. Diskr. Mat., 10, Fizmatlit, Moscow, 2007, 319–325
15.
M. I. Tikhomirova, V. P. Chistyakov, “Statistical tests for the identification of some types of dependencies between random sequences”, Tr. Diskr. Mat., 9, Gelios APB, Moscow, 2006, 357–376
16.
M. I. Tikhomirova, V. P. Chistyakov, “On some $\chi^2$-type statistics that depend functionally on estimators of unknown parameters”, Discrete Math. Appl., 15:1 (2005), 33–46
17.
M. I. Tikhomirova, V. P. Chistyakov, “Multidimensional $\chi^2$-statistics in disorder problems”, Tr. Diskr. Mat., 8, Fizmatlit, Moscow, 2004, 281–298
18.
M. I. Tikhomirova, V. P. Chistyakov, “On two chi-square-type statistics constructed from the frequencies of tuples of states of a multiple Markov chain”, Discrete Math. Appl., 13:3 (2003), 319–329
19.
M. I. Tikhomirova, V. P. Chistyakov, “Limit distributions of some statistics connected with recurrent events”, Tr. Diskr. Mat., 7, Fizmatlit, Moscow, 2003, 201–212
20.
M. I. Tikhomirova, V. P. Chistyakov, “Moving chi-square in Markov change point models”, Survey of Applied and Industry Mathematics, 10 (2003), 559–570 (in Russian)
21.
M. I. Tikhomirova, V. P. Chistyakov, “Approximate computation of limit distributions of some statistics functionals”, Tr. Diskr. Mat., 6, Fizmatlit, Moscow, 2002, 213–225
22.
M. I. Tikhomirova, V. P. Chistyakov, “On some characteristic of two-stage procedure for multiple hypotheses selection”, Tr. Diskr. Mat., 5, Fizmatlit, Moscow, 2002, 241–246
23.
V. P. Chistyakov, “A chi-square statistic based on the chains of outcomes of independent trials with gaps”, Discrete Math. Appl., 11:5 (2001), 485–492
24.
M. I. Tikhomirova, V. P. Chistyakov, “Normal approximation of multidimensional $\chi^2$ distribution”, Tr. Diskr. Mat., 4, Fizmatlit, Moscow, 2001, 259–272
25.
M. I. Tikhomirova, V. P. Chistyakov, “Moving chi-square”, Discrete Math. Appl., 10:5 (2000), 469–475
26.
V. P. Chistyakov, M. I. Tikhomirova, “Statistical tests based on $s$-tuples from some set”, Tr. Diskr. Mat., 3, Fizmatlit, Moscow, 2000, 295–302
27.
B. I. Selivanov, V. P. Chistyakov, “Two remarks on the multidimensional $\chi^2$ statistic”, Discrete Math. Appl., 9:6 (1999), 645–651
28.
M. I. Tikhomirova, V. P. Chistyakov, “Some characteristics of two-stage designs of experiments”, Discrete Math. Appl., 9:4 (1999), 365–373
29.
B. I. Selivanov, V. P. Chistyakov, “Multivariate chi-square distribution for a nonhomogeneous multinomial scheme”, Discrete Math. Appl., 8:3 (1998), 263–273
30.
M. I. Tikhomirova, V. P. Chistyakov, “On $\chi^2$-type statistics constructed from the output of a finite automaton”, Tr. Diskr. Mat., 2, TVP, Moscow, 1998, 305–314
31.
B. I. Selivanov, V. P. Chistyakov, “The sequential chi-square test based on $s$-tuples of states of a Markov chain”, Discrete Math. Appl., 7:5 (1997), 523–532
32.
M. I. Tikhomirova, V. P. Chistyakov, “On the asymptotics of moments of the number of nonappearing $s$-chains”, Discrete Math. Appl., 7:1 (1997), 13–32
33.
M. I. Tikhomirova, V. P. Chistyakov, Tr. Diskr. Mat., 1, TVP, Moscow, 1997, 265–278
34.
V. P. Chistyakov, Course of the theory of probability, 4-th ed., Agar, Moscow, 1996 , 256 pp. (in Russian)
35.
M. I. Tikhomirova, V. P. Chistyakov, “On a scheme for Markov allocations by groups of cells”, Discrete Math. Appl., 5:3 (1995), 269–275
36.
M. I. Tikhomirova,V. P. Chistyakov, “Calculating the power of a test of recurrence time”, Survey of Applied and Industry Mathematics, 2:6 (1995), 965-979 (in Russian)
37.
M. I. Tikhomirova,V. P. Chistyakov, “Testing series and intervals”, Survey of Applied and Industry Mathematics, 2:6 (1995), 980-993 (in Russian)
38.
B. A. Sevastyanov,V. P. Chistyakov, “On the number of input sequences corresponding to a finite automat output sequence”, Survey of Applied and Industry Mathematics, 1:1 (1994), 97-107 , (in Russian)
39.
A. E. Zhukov,V. P. Chistyakov, “Matrix approach to analysis of preimages for a finite automaton output sequence”, Survey of Applied and Industry Mathematics, 1:1 (1994), 108-117 (in Russian)
40.
V. G. Mikhailov,V. P. Chistyakov, “On finite automata theory problems concerned with the number of preimages for an output sequence”, Survey of Applied and Industry Mathematics, 1:1 (1994), 7-32 (in Russian)
41.
V. I. Dorogov, V. P. Chistyakov, Veroyatnostnye modeli prevrascheniya chastits, Problemy nauki i tekhnicheskogo progressa, Nauka, M., 1988 , 111 pp.
42.
V. T. Bolotskii, V. P. Chistyakov, “On the distribution of the number of detector signals”, Probabilistic methods in discrete mathematics, Abstracts of the Second All-Union Conference (24–26 May 1988, Petrozavodsk), Petrozavodsk Univ., Petrozavodsk, 1988, 14 (in Russian)
43.
V. T. Bolotskii, O. A. Breslavskii, V. P. Chistyakov, Investigation of spectrum multiplity of gamma-quantum in radiation capture of neutrino, ITEF 83-88, Preprint ITEF, no. 83, Moscow, 1988 , 12 pp. (in Russian)
44.
V. P. Chistyakov, B. A. Sevastyanov, A. M. Zubkov, Valoszinusegelmeleti feladatok, Tankonyvkiado, Budapest, 1987 , 354 pp.
45.
O. N. Goltyaeva, V. I. Dorogov, V. P. Chistyakov, “Approximation by branching processes of particle multiplication processes taking dependence into account”, Dokl. AN SSSR, 286:4 (1986), 791–794
46.
O. N. Goltyaeva, V. P. Chistyakov, “On the estimation of the criticality parameter of a branching process with immigration”, Theory Probab. Appl., 31:4 (1987), 693–697
47.
V. P. Chistyakov, V. N. Pokrovskii, I. A. Prostakov, Ts. Vylov, “Nuclear spectrometry and the structure of atomic nucleus”, Abstracts of XXXVI conference (Leningrad, 1986), Nauka, Leningrad, 1986, 240 (in Russian)
48.
T. M. Bolotskaya, I. A. Prostakobov, V. P. Chistyakov, “Estimating the systematic errors in the spectrometer experiment processing”, Experimental methods in physics of middle and low energy, Energoatomizdat, Moscow, 1986, 130–132 (in Russian)
49.
V. A. Vatutin,T. M. Televinova,V. P. Chistyakov, Stochastic methods in physical researches, Nauka, Moscow, 1985 , 207 pp., in russian
50.
V. P. Chistyakov, “Regularizarion method and biased estimation”, Theory Probab. Appl., 29:1 (1984), 173-174 (in Russian)
51.
T. M. Televinova, V. P. Chistyakov, “Two theorems on implicitly given estimates”, Dokl. AN SSSR, 271:2 (1983), 305–306
52.
V. I. Dorogov,V. P. Chistyakov, “Estimation of nuclide fluctuations in a neutron flux using branching process methods”, Dokl. Akad. Nauk SSSR, 273:2 (1983), 1102-1104 (in Russin)
53.
V. P. Chistyakov, “Some remarks on the regularization method”, Dokl. AN SSSR, 265:6 (1982), 1324–1326
54.
V. P. Chistyakov, “Some probability properties of regularized solutions”, Math. Notes, 32:6 (1982), 934–939
55.
V. P. Chistyakov, “Matrix functions of the trajectories of Markov chains”, Theory Probab. Appl., 27:2 (1983), 248–255
56.
V. P. Chistyakov, “K otsenke perronova kornya neotritsatelnykh matrits”, Dokl. AN SSSR, 246:3 (1979), 548–550
A. E. Zhukov, V. P. Chistyakov, “Schemes for the allocation of complete sets, approximatable by a polynomial scheme”, Math. Notes, 25:3 (1979), 238–243
58.
V. F. Kolchin, B. A. Sevast'yanov, V P. Chistyakov, Random allocations, Scripta Series in Mathematics, V. H. Winston & Sons, Washington, D.C., 1978 , xi+262 pp.
59.
V. F. Kolchin, B. A. Sevastyanov, V. P. Chistyakov, Sluchainye razmescheniya, Teoriya veroyatnostei i matematicheskaya statistika, Nauka, M., 1976 , 222 pp.
60.
V. F. Kolchin, V. P. Chistyakov, “The cyclic structure of random permutations”, Math. Notes, 18:6 (1975), 1139–1144
61.
V. E. Tarakanov, V. P. Chistyakov, “On the cycle structure of random permutations”, Math. USSR-Sb., 25:4 (1975), 559–565
62.
V. F. Kolchin, V. P. Chistyakov, “Limit distributions of the number of not appeared $s$-tuples in a multinomial scheme”, Theory Probab. Appl., 19:4 (1975), 822–830
63.
V. F. Kolchin, V. P. Chistyakov, “On limit distributions of a statistic”, Theory Probab. Appl., 19:2 (1975), 359–365
64.
V. F. Kolchin, V. P. Chistyakov, “Combinatorial problems of probability theory”, J. Soviet Math., 4:3 (1975), 217–243
65.
V. F. Kolchin, V. P. Chistyakov, “On a combinatorial limit theorem”, Theory Probab. Appl., 18:4 (1974), 728–739
66.
V. P. Chistyakov, “Limit Theorems for Age-Dependent Branching Processes”, Theory Probab. Appl., 17:1 (1972), 54–71
67.
V. P. Chistyakov, “On transition phenomena in branching stochastic processes with several types of particles”, Theory Probab. Appl., 17:4 (1973), 631–639
68.
V. P. Chistyakov, “Asymptotic behaviour of the non-extinction probability for a critical Branching process”, Theory Probab. Appl., 16:4 (1971), 620–630
69.
B. A. Sevast'yanov, V. P. Chistyakov, “Multidimensional renewal equations and moments of branching processes”, Theory Probab. Appl., 16:2 (1971), 199–214
70.
V. P. Chistyakov, “On convergence of branching processes to diffusion processes”, Theory Probab. Appl., 15:4 (1970), 707–710
71.
V. P. Chistyakov, “Some limit theorems for branchings processes with a final type of particles”, Theory Probab. Appl., 15:3 (1970), 515–521
72.
V. P. Chistyakov, “Some limit theorems for branching processes with immigration”, Theory Probab. Appl., 15:2 (1970), 241–257
73.
V. A. Golubeva, V. P. Chistyakov, “On asymptotics of the number of crossing of some level by a stationary Gaussian procesess”, Theory Probab. Appl., 13:3 (1970)
74.
V. P. Chistyakov, “Discrete limit distributions in the problem of balls falling in cells with arbitrary probabilities”, Math. Notes, 1:1 (1967), 6–11
75.
I. I. Viktorova, V. P. Chistyakov, “Some generalizations of the empty boxes test”, Theory Probab. Appl., 11:2 (1966), 270–276
76.
I. I. Victorova, V. P. Chistyakov, “Asymptotic Normality in a Problem on Balis when the Probabilities of Falling Into Different Boxes are Different”, Theory Probab. Appl., 10:1 (1965), 149–154
77.
A. N. Kalmikov,V. P. Chistyakov, “Calculaion of cascade shower development feuctuations Kolmogorov method”, Izv. Akad. Nauk. SSSR, 29:9, ser. physical (1965), 1702-1705 (in Russian)
78.
V. P. Chistyakov, “On Calculation of the Power of the Test of Empty Boxes”, Theory Probab. Appl., 9:4 (1964), 648–653
79.
V. P. Chistyakov, “Theorem on Sums of Independent Random Positive Variables and its Applications to Branching Processes”, Theory Probab. Appl., 9:4 (1964), 640–648
80.
B. A. Sevast'yanov, V. P. Chistyakov, “Asymptotic Normality in a Classical Problem with Balls”, Theory Probab. Appl., 9:2 (1964), 198–211
81.
V. P. Chistyakov, N. P. Markova, “Some theorems for non-homogeneous branching processes”, Dokl. AN SSSR, 147 (1962), 317–320
82.
A. A. Savin, V. P. Chistyakov, “Some theorems for branching processes with several types of particles”, Theory Probab. Appl., 7:1 (1962), 93–100
83.
V. P. Chistyakov, “Transient phenomena in branching stochastic processes”, Theor. Probab. Appl., 6 (1961), 27–41
84.
N. N. Chensov, V. P. Chistyakov, Probability theory. Methodical instructions, MSU, Moscow, 1960 , 38 pp. (in Russian)
85.
V. P. Chistyakov, “Transitional phenomena in branching processes with $n$ types of particles”, Dokl. Akad. Nauk SSSR, 131:3 (1960), 522–524
86.
V. P. Chistyakov, “Generalization of a theorem for branching processes”, Theor. Probability Appl., 4:1 (1959), 103–106
87.
V. P. Chistyakov, “Two limit theorems for branching processes with $n$ types of particles”, Theory Probab. Appl., 4:4 (1959), 477–478
88.
V. P. Chistyakov, “Local Limit Theorems in the Theory of Branching Random Processes”, Theory Probab. Appl., 2:3 (1957), 345–363
89.
S. A. Aivazyan, V. B. Alekseev, V. A. Vatutin, M. M. Glukhov, A. A. Grusho, V. A. Emelichev, A. M. Zubkov, G. I. Ivchenko, O. M. Kasim-zade, V. A. Kashtanov, I. N. Kovalenko, V. B. Kudryavtsev, V. V. Mazalov, Yu. V. Matiyasevich, Yu. I. Medvedev, V. G. Mikhailov, Yu. L. Pavlov, B. A. Pogorelov, È. A. Primenko, L. Ya. Savel'ev, V. N. Sachkov, S. A. Stepanov, V. P. Chistyakov, V. N. Chubarikov, Diskr. Mat., 28:4 (2016), 3–5
90.
V. P. Chistyakov, Kurs teorii veroyatnostei, 8-e izd., LENAND, Moskva, 2014 , 304 pp.
91.
V. A. Vatutin, G. I. Medvedev, Yu. I. Ivchenko, V. P. Chistyakov, Teoriya veroyatnostei i matematicheskaya statistika v zadachakh, Uchebnoe posobie, izd. 4-e ispr., LENAND, M., 2014 , 384 pp.
92.
A. M. Zubkov, B. A. Sevastyanov, V. P. Chistyakov, Sbornik zadach po teorii veroyatnostei, 3-e izd., Lan, SPb, 2010 , 319 pp.
93.
V. P. Chistyakov, Course of the theory of probability, 7-th ed., Drofa, Moscow, 2007 , 256 pp. (in Russian)
94.
V. A. Vatutin, G. I. Ivchenko, Yu. I. Medvedev, V. P. Chistyakov, Probability Theory and Mathematical Statistics in exercises, 3-th ed., Drofa, Moscow, 2005 , 328 pp. (in Russian)
95.
V. P. Chistyakov, Course of the Theory of Probability, 6-th ed., Lan', Sankt-Petersburg, 2003 , 272 pp. (in Russian)
96.
V. A. Vatutin, G. I. Ivchenko , Yu. I. Medvedev , V. P. Chistyakov, Probability Theory and Mathematical Statistics in Exercises, 2-th ed., Agar, Moscow, 2003 , 328 pp. (in Russian)
97.
V. P. Chistyakov, Course of the theory of probability, 5-th ed., Agar, Moscow, 2000 , 256 pp. (in Russian)
98.
A. M. Zubkov, B. A. Sevastyanov, V. P. Chistyakov, Sbornik zadach po teorii veroyatnostei, 2-e izd., Nauka, M., 1989 , 320 pp.
99.
V. P. Chistyakov, “Book reviews: Borovkov A. A. «Theory of Probability», Sevast'yanov B. A. «Course on Probability Theory and Mathematical Statistics», Shiryaev A. N. «Probability»”, Theory Probab. Appl., 34:3 (1989), 556–560
100.
V. P. Chistyakov, Kurs teorii veroyatnostei, 3-e izd., Nauka, M., 1987 , 240 pp.
101.
V. P. Chistyakov, B. A. Sevastyanov ,V. K. Zakharov, Probability theory for engineers, Optimization Software, Ins., New York, 1986 , 147 pp.
102.
V. K. Zajárov, B. A. Sevastiánov, V. P. Chistiakov, Teoría de las probabilidades, “Mir”, Moscow, 1985 , 152 pp. (Spanish)
103.
B. A. Sevast'yanov, V. P. Chistyakov, A. M. Zubkov, Problems in the theory of probability, “Mir”, Moscow, 1985 , 236 pp.
104.
V. K. Zakharov, B. A. Sevastyanov, V. P. Chistyakov, Teoriya veroyatnostei, Nauka, M., 1983 , 160 pp.
105.
V. P. Chistyakov, Kurs teorii veroyatnostei, Cahiers Mathématiques Montpellier, 27, 2-e izd., Nauka, M., 1982 , 256 pp.
106.
A. M. Zubkov, B. A. Sevastyanov, V. P. Chistyakov, Sbornik zadach po teorii veroyatnostei, Nauka, M., 1980 , 224 pp.
107.
V. P. Chistyakov, Exsercises on probability theory. Exsercises and experiments with random matrices, MIFI, Moscow, 1980 , 20 pp. (in Russian)
108.
V. P. Chistyakov, Kurs teorii veroyatnostei, Nauka, M., 1978 , 224 pp.
109.
V. P. Chistyakov, “Linear statistical inference and its applications: R. Rao. XVIII+522 pp., Wiley and Sons Ltd., London and New York, 1965”, U.S.S.R. Comput. Math. Math. Phys., 6:4 (1966), 239–240
110.
V. P. Chistyakov, “A letter to the editor”, Theory Probab. Appl., 10:3 (1965), 538–539
111.
B. A. Sevast'yanov, V. P. Chistyakov, “Letter to the Editor”, Theory Probab. Appl., 9:3 (1964), 513–514
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