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
2016
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.
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
2017
4.
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
2014
5.
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
6.
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
7.
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
8.
V. P. Chistyakov, Kurs teorii veroyatnostei, 8-e izd., LENAND, Moskva, 2014 , 304 pp.
9.
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.
2013
10.
V. P. Chistyakov, “Waiting Time in a Scheme of Allocating Particles to Cells”, Proc. Steklov Inst. Math., 282 (2013), 73–79
2011
11.
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
12.
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
2010
13.
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
14.
M. I. Tikhomirova, V. P. Chistyakov, “The statistical test of the empty cells type”, Mat. Vopr. Kriptogr., 1:1 (2010), 101–108
15.
A. M. Zubkov, B. A. Sevastyanov, V. P. Chistyakov, Sbornik zadach po teorii veroyatnostei, 3-e izd., Lan, SPb, 2010 , 319 pp.
2009
16.
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
2008
17.
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
2007
18.
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
19.
V. P. Chistyakov, Course of the theory of probability, 7-th ed., Drofa, Moscow, 2007 , 256 pp. (in Russian)
2006
20.
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
2005
21.
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
22.
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)
2004
23.
M. I. Tikhomirova, V. P. Chistyakov, “Multidimensional $\chi^2$-statistics in disorder problems”, Tr. Diskr. Mat., 8, Fizmatlit, Moscow, 2004, 281–298
2003
24.
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
25.
M. I. Tikhomirova, V. P. Chistyakov, “Limit distributions of some statistics connected with recurrent events”, Tr. Diskr. Mat., 7, Fizmatlit, Moscow, 2003, 201–212
26.
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)
27.
V. P. Chistyakov, Course of the Theory of Probability, 6-th ed., Lan', Sankt-Petersburg, 2003 , 272 pp. (in Russian)
28.
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)
2002
29.
M. I. Tikhomirova, V. P. Chistyakov, “Approximate computation of limit distributions of some statistics functionals”, Tr. Diskr. Mat., 6, Fizmatlit, Moscow, 2002, 213–225
30.
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
2001
31.
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
32.
M. I. Tikhomirova, V. P. Chistyakov, “Normal approximation of multidimensional $\chi^2$ distribution”, Tr. Diskr. Mat., 4, Fizmatlit, Moscow, 2001, 259–272
2000
33.
M. I. Tikhomirova, V. P. Chistyakov, “Moving chi-square”, Discrete Math. Appl., 10:5 (2000), 469–475
34.
V. P. Chistyakov, M. I. Tikhomirova, “Statistical tests based on $s$-tuples from some set”, Tr. Diskr. Mat., 3, Fizmatlit, Moscow, 2000, 295–302
35.
V. P. Chistyakov, Course of the theory of probability, 5-th ed., Agar, Moscow, 2000 , 256 pp. (in Russian)
1999
36.
B. I. Selivanov, V. P. Chistyakov, “Two remarks on the multidimensional $\chi^2$ statistic”, Discrete Math. Appl., 9:6 (1999), 645–651
37.
M. I. Tikhomirova, V. P. Chistyakov, “Some characteristics of two-stage designs of experiments”, Discrete Math. Appl., 9:4 (1999), 365–373
1998
38.
B. I. Selivanov, V. P. Chistyakov, “Multivariate chi-square distribution for a nonhomogeneous multinomial scheme”, Discrete Math. Appl., 8:3 (1998), 263–273
39.
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
1997
40.
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
41.
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
42.
M. I. Tikhomirova, V. P. Chistyakov, Tr. Diskr. Mat., 1, TVP, Moscow, 1997, 265–278
1996
43.
V. P. Chistyakov, Course of the theory of probability, 4-th ed., Agar, Moscow, 1996 , 256 pp. (in Russian)
1995
44.
M. I. Tikhomirova, V. P. Chistyakov, “On a scheme for Markov allocations by groups of cells”, Discrete Math. Appl., 5:3 (1995), 269–275
45.
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)
46.
M. I. Tikhomirova,V. P. Chistyakov, “Testing series and intervals”, Survey of Applied and Industry Mathematics, 2:6 (1995), 980-993 (in Russian)
1994
47.
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)
48.
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)
49.
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)
1989
50.
A. M. Zubkov, B. A. Sevastyanov, V. P. Chistyakov, Sbornik zadach po teorii veroyatnostei, 2-e izd., Nauka, M., 1989 , 320 pp.
51.
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
1988
52.
V. I. Dorogov, V. P. Chistyakov, Veroyatnostnye modeli prevrascheniya chastits, Problemy nauki i tekhnicheskogo progressa, Nauka, M., 1988 , 111 pp.
53.
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)
54.
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)
1987
55.
V. P. Chistyakov, B. A. Sevastyanov, A. M. Zubkov, Valoszinusegelmeleti feladatok, Tankonyvkiado, Budapest, 1987 , 354 pp.
56.
V. P. Chistyakov, Kurs teorii veroyatnostei, 3-e izd., Nauka, M., 1987 , 240 pp.
1986
57.
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
1987
58.
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
1986
59.
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)
60.
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)
61.
V. P. Chistyakov, B. A. Sevastyanov ,V. K. Zakharov, Probability theory for engineers, Optimization Software, Ins., New York, 1986 , 147 pp.
1985
62.
V. A. Vatutin,T. M. Televinova,V. P. Chistyakov, Stochastic methods in physical researches, Nauka, Moscow, 1985 , 207 pp., in russian
63.
V. K. Zajárov, B. A. Sevastiánov, V. P. Chistiakov, Teoría de las probabilidades, “Mir”, Moscow, 1985 , 152 pp. (Spanish)
64.
B. A. Sevast'yanov, V. P. Chistyakov, A. M. Zubkov, Problems in the theory of probability, “Mir”, Moscow, 1985 , 236 pp.
1984
65.
V. P. Chistyakov, “Regularizarion method and biased estimation”, Theory Probab. Appl., 29:1 (1984), 173-174 (in Russian)
1983
66.
T. M. Televinova, V. P. Chistyakov, “Two theorems on implicitly given estimates”, Dokl. AN SSSR, 271:2 (1983), 305–306
67.
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)
68.
V. K. Zakharov, B. A. Sevastyanov, V. P. Chistyakov, Teoriya veroyatnostei, Nauka, M., 1983 , 160 pp.
1982
69.
V. P. Chistyakov, “Some remarks on the regularization method”, Dokl. AN SSSR, 265:6 (1982), 1324–1326
70.
V. P. Chistyakov, “Some probability properties of regularized solutions”, Math. Notes, 32:6 (1982), 934–939
1983
71.
V. P. Chistyakov, “Matrix functions of the trajectories of Markov chains”, Theory Probab. Appl., 27:2 (1983), 248–255
1982
72.
V. P. Chistyakov, Kurs teorii veroyatnostei, Cahiers Mathématiques Montpellier, 27, 2-e izd., Nauka, M., 1982 , 256 pp.
1980
73.
A. M. Zubkov, B. A. Sevastyanov, V. P. Chistyakov, Sbornik zadach po teorii veroyatnostei, Nauka, M., 1980 , 224 pp.
74.
V. P. Chistyakov, Exsercises on probability theory. Exsercises and experiments with random matrices, MIFI, Moscow, 1980 , 20 pp. (in Russian)
1979
75.
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
1978
77.
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.
78.
V. P. Chistyakov, Kurs teorii veroyatnostei, Nauka, M., 1978 , 224 pp.
1976
79.
V. F. Kolchin, B. A. Sevastyanov, V. P. Chistyakov, Sluchainye razmescheniya, Teoriya veroyatnostei i matematicheskaya statistika, Nauka, M., 1976 , 222 pp.
1975
80.
V. F. Kolchin, V. P. Chistyakov, “The cyclic structure of random permutations”, Math. Notes, 18:6 (1975), 1139–1144
81.
V. E. Tarakanov, V. P. Chistyakov, “On the cycle structure of random permutations”, Math. USSR-Sb., 25:4 (1975), 559–565
82.
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
83.
V. F. Kolchin, V. P. Chistyakov, “On limit distributions of a statistic”, Theory Probab. Appl., 19:2 (1975), 359–365
84.
V. F. Kolchin, V. P. Chistyakov, “Combinatorial problems of probability theory”, J. Soviet Math., 4:3 (1975), 217–243
1974
85.
V. F. Kolchin, V. P. Chistyakov, “On a combinatorial limit theorem”, Theory Probab. Appl., 18:4 (1974), 728–739
1972
86.
V. P. Chistyakov, “Limit Theorems for Age-Dependent Branching Processes”, Theory Probab. Appl., 17:1 (1972), 54–71
1973
87.
V. P. Chistyakov, “On transition phenomena in branching stochastic processes with several types of particles”, Theory Probab. Appl., 17:4 (1973), 631–639
1971
88.
V. P. Chistyakov, “Asymptotic behaviour of the non-extinction probability for a critical Branching process”, Theory Probab. Appl., 16:4 (1971), 620–630
89.
B. A. Sevast'yanov, V. P. Chistyakov, “Multidimensional renewal equations and moments of branching processes”, Theory Probab. Appl., 16:2 (1971), 199–214
1970
90.
V. P. Chistyakov, “On convergence of branching processes to diffusion processes”, Theory Probab. Appl., 15:4 (1970), 707–710
91.
V. P. Chistyakov, “Some limit theorems for branchings processes with a final type of particles”, Theory Probab. Appl., 15:3 (1970), 515–521
92.
V. P. Chistyakov, “Some limit theorems for branching processes with immigration”, Theory Probab. Appl., 15:2 (1970), 241–257
93.
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)
1967
94.
V. P. Chistyakov, “Discrete limit distributions in the problem of balls falling in cells with arbitrary probabilities”, Math. Notes, 1:1 (1967), 6–11
1966
95.
I. I. Viktorova, V. P. Chistyakov, “Some generalizations of the empty boxes test”, Theory Probab. Appl., 11:2 (1966), 270–276
96.
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
1965
97.
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
98.
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)
99.
V. P. Chistyakov, “A letter to the editor”, Theory Probab. Appl., 10:3 (1965), 538–539
1964
100.
V. P. Chistyakov, “On Calculation of the Power of the Test of Empty Boxes”, Theory Probab. Appl., 9:4 (1964), 648–653
101.
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
102.
B. A. Sevast'yanov, V. P. Chistyakov, “Asymptotic Normality in a Classical Problem with Balls”, Theory Probab. Appl., 9:2 (1964), 198–211
103.
B. A. Sevast'yanov, V. P. Chistyakov, “Letter to the Editor”, Theory Probab. Appl., 9:3 (1964), 513–514
1962
104.
V. P. Chistyakov, N. P. Markova, “Some theorems for non-homogeneous branching processes”, Dokl. AN SSSR, 147 (1962), 317–320
105.
A. A. Savin, V. P. Chistyakov, “Some theorems for branching processes with several types of particles”, Theory Probab. Appl., 7:1 (1962), 93–100
1961
106.
V. P. Chistyakov, “Transient phenomena in branching stochastic processes”, Theor. Probab. Appl., 6 (1961), 27–41
1960
107.
N. N. Chensov, V. P. Chistyakov, Probability theory. Methodical instructions, MSU, Moscow, 1960 , 38 pp. (in Russian)
108.
V. P. Chistyakov, “Transitional phenomena in branching processes with $n$ types of particles”, Dokl. Akad. Nauk SSSR, 131:3 (1960), 522–524
1959
109.
V. P. Chistyakov, “Generalization of a theorem for branching processes”, Theor. Probability Appl., 4:1 (1959), 103–106
110.
V. P. Chistyakov, “Two limit theorems for branching processes with $n$ types of particles”, Theory Probab. Appl., 4:4 (1959), 477–478
1957
111.
V. P. Chistyakov, “Local Limit Theorems in the Theory of Branching Random Processes”, Theory Probab. Appl., 2:3 (1957), 345–363
2020
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