Chistyakov, Vladimir Pavlovich

Total publications: 112 (88)
in MathSciNet: 75 (65)
in zbMATH: 53 (50)
in Web of Science: 10 (10)
in Scopus: 24 (24)
Cited articles: 36
Citations in Math-Net.Ru: 108
Citations in MathSciNet: 213
Citations in Web of Science: 2
Citations in Scopus: 23

Number of views:
This page:5162
Abstract pages:15947
Full texts:5936
Doctor of physico-mathematical sciences (1973)
Speciality: 01.01.05 (Probability theory and mathematical statistics)
Birth date: 19.04.1934
Keywords: branching processes; random allocations; finite-state automatons; statistical criterion.


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.


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).
List of publications on Google Scholar

Full list of publications:
| scientific publications | by years | by types | by times cited in WoS | by times cited in Scopus | common list |

1. 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  mathnet  crossref  crossref  mathscinet  isi  elib  scopus

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  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus

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  mathnet  crossref  crossref  mathscinet  isi (cited: 1)  elib  elib  scopus (cited: 1)

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  mathnet  crossref  crossref  mathscinet  elib  elib  scopus
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  mathnet  crossref  crossref  mathscinet  elib  elib  scopus
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  mathnet  crossref  elib

7. V. P. Chistyakov, “Waiting Time in a Scheme of Allocating Particles to Cells”, Proc. Steklov Inst. Math., 282 (2013), 73–79  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus

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  mathnet  crossref  crossref  mathscinet  elib  scopus
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  mathnet  crossref  elib

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  mathnet  crossref  crossref  mathscinet  elib  scopus (cited: 1)
11. M. I. Tikhomirova, V. P. Chistyakov, “The statistical test of the empty cells type”, Mat. Vopr. Kriptogr., 1:1 (2010), 101–108  mathnet  crossref  elib

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  mathnet  crossref  crossref  mathscinet  elib  scopus

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  mathnet

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  mathnet

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  mathnet

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  mathnet  crossref  crossref  mathscinet  zmath  elib  scopus (cited: 1)

17. M. I. Tikhomirova, V. P. Chistyakov, “Multidimensional $\chi^2$-statistics in disorder problems”, Tr. Diskr. Mat., 8, Fizmatlit, Moscow, 2004, 281–298  mathnet

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  mathnet  crossref  crossref  mathscinet  zmath  scopus (cited: 1)
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  mathnet
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)  zmath

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  mathnet
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  mathnet

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  mathnet  crossref  mathscinet  zmath  scopus (cited: 2)
24. M. I. Tikhomirova, V. P. Chistyakov, “Normal approximation of multidimensional $\chi^2$ distribution”, Tr. Diskr. Mat., 4, Fizmatlit, Moscow, 2001, 259–272  mathnet

25. M. I. Tikhomirova, V. P. Chistyakov, “Moving chi-square”, Discrete Math. Appl., 10:5 (2000), 469–475  mathnet  crossref  mathscinet  zmath  scopus (cited: 1)
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  mathnet

27. B. I. Selivanov, V. P. Chistyakov, “Two remarks on the multidimensional $\chi^2$ statistic”, Discrete Math. Appl., 9:6 (1999), 645–651  mathnet  crossref  mathscinet  zmath  scopus
28. M. I. Tikhomirova, V. P. Chistyakov, “Some characteristics of two-stage designs of experiments”, Discrete Math. Appl., 9:4 (1999), 365–373  mathnet  crossref  mathscinet  zmath  scopus

29. B. I. Selivanov, V. P. Chistyakov, “Multivariate chi-square distribution for a nonhomogeneous multinomial scheme”, Discrete Math. Appl., 8:3 (1998), 263–273  mathnet  crossref  mathscinet  zmath  scopus (cited: 1)
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  mathnet  mathscinet  zmath

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  mathnet  crossref  mathscinet  zmath  scopus (cited: 5)
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  mathnet  crossref  mathscinet  zmath
33. M. I. Tikhomirova, V. P. Chistyakov, Tr. Diskr. Mat., 1, TVP, Moscow, 1997, 265–278  mathnet  mathscinet  zmath

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  mathnet  mathscinet  zmath  scopus
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)  mathscinet  zmath
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)  mathscinet  zmath
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)  mathscinet  zmath

41. V. I. Dorogov, V. P. Chistyakov, Veroyatnostnye modeli prevrascheniya chastits, Problemy nauki i tekhnicheskogo progressa, Nauka, M., 1988 , 111 pp.  mathscinet
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  mathnet  mathscinet  zmath  isi

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  mathnet  crossref  mathscinet  zmath  isi

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)  mathscinet

51. T. M. Televinova, V. P. Chistyakov, “Two theorems on implicitly given estimates”, Dokl. AN SSSR, 271:2 (1983), 305–306  mathnet  mathscinet  mathscinet  zmath  isi (cited: 1)
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)  mathnet

53. V. P. Chistyakov, “Some remarks on the regularization method”, Dokl. AN SSSR, 265:6 (1982), 1324–1326  mathnet  mathscinet  mathscinet  zmath  isi
54. V. P. Chistyakov, “Some probability properties of regularized solutions”, Math. Notes, 32:6 (1982), 934–939  mathnet  crossref  mathscinet  zmath  isi  scopus

55. V. P. Chistyakov, “Matrix functions of the trajectories of Markov chains”, Theory Probab. Appl., 27:2 (1983), 248–255  mathnet  crossref  mathscinet  zmath  isi

56. V. P. Chistyakov, “K otsenke perronova kornya neotritsatelnykh matrits”, Dokl. AN SSSR, 246:3 (1979), 548–550  mathnet (cited: 5)  mathscinet  mathscinet  zmath
57. 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  mathnet  crossref  mathscinet  zmath  elib (cited: 1)  scopus (cited: 1)

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.  mathscinet  zmath

59. V. F. Kolchin, B. A. Sevastyanov, V. P. Chistyakov, Sluchainye razmescheniya, Teoriya veroyatnostei i matematicheskaya statistika, Nauka, M., 1976 , 222 pp.  mathscinet

60. V. F. Kolchin, V. P. Chistyakov, “The cyclic structure of random permutations”, Math. Notes, 18:6 (1975), 1139–1144  mathnet  crossref  mathscinet  zmath  scopus (cited: 1)
61. V. E. Tarakanov, V. P. Chistyakov, “On the cycle structure of random permutations”, Math. USSR-Sb., 25:4 (1975), 559–565  mathnet  crossref  mathscinet  zmath  scopus (cited: 1)
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  mathnet  crossref  mathscinet  zmath
63. V. F. Kolchin, V. P. Chistyakov, “On limit distributions of a statistic”, Theory Probab. Appl., 19:2 (1975), 359–365  mathnet  crossref  mathscinet  zmath
64. V. F. Kolchin, V. P. Chistyakov, “Combinatorial problems of probability theory”, J. Soviet Math., 4:3 (1975), 217–243  mathnet  crossref  mathscinet  zmath  scopus (cited: 5)

65. V. F. Kolchin, V. P. Chistyakov, “On a combinatorial limit theorem”, Theory Probab. Appl., 18:4 (1974), 728–739  mathnet  mathnet  crossref  mathscinet  zmath

66. V. P. Chistyakov, “Limit Theorems for Age-Dependent Branching Processes”, Theory Probab. Appl., 17:1 (1972), 54–71  mathnet  crossref  mathscinet  zmath

67. V. P. Chistyakov, “On transition phenomena in branching stochastic processes with several types of particles”, Theory Probab. Appl., 17:4 (1973), 631–639  mathnet  crossref  mathscinet  zmath

68. V. P. Chistyakov, “Asymptotic behaviour of the non-extinction probability for a critical Branching process”, Theory Probab. Appl., 16:4 (1971), 620–630  mathnet  crossref  mathscinet  zmath
69. B. A. Sevast'yanov, V. P. Chistyakov, “Multidimensional renewal equations and moments of branching processes”, Theory Probab. Appl., 16:2 (1971), 199–214  mathnet  crossref  mathscinet  zmath

70. V. P. Chistyakov, “On convergence of branching processes to diffusion processes”, Theory Probab. Appl., 15:4 (1970), 707–710  mathnet  crossref  mathscinet  zmath
71. V. P. Chistyakov, “Some limit theorems for branchings processes with a final type of particles”, Theory Probab. Appl., 15:3 (1970), 515–521  mathnet  crossref  mathscinet  zmath
72. V. P. Chistyakov, “Some limit theorems for branching processes with immigration”, Theory Probab. Appl., 15:2 (1970), 241–257  mathnet  crossref  mathscinet  zmath
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)  mathnet

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  mathnet  crossref  mathscinet  zmath  zmath  scopus (cited: 2)

75. I. I. Viktorova, V. P. Chistyakov, “Some generalizations of the empty boxes test”, Theory Probab. Appl., 11:2 (1966), 270–276  mathnet  crossref  mathscinet  zmath

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  mathnet  crossref  mathscinet  zmath
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  mathnet  crossref
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  mathnet  crossref  mathscinet  zmath
80. B. A. Sevast'yanov, V. P. Chistyakov, “Asymptotic Normality in a Classical Problem with Balls”, Theory Probab. Appl., 9:2 (1964), 198–211  mathnet  crossref  mathscinet  zmath

81. V. P. Chistyakov, N. P. Markova, “Some theorems for non-homogeneous branching processes”, Dokl. AN SSSR, 147 (1962), 317–320  mathnet  mathscinet  mathscinet  zmath
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  mathnet  crossref  zmath

83. V. P. Chistyakov, “Transient phenomena in branching stochastic processes”, Theor. Probab. Appl., 6 (1961), 27–41  mathnet  crossref  mathscinet  zmath

84. V. P. Chistyakov, “Transitional phenomena in branching processes with $n$ types of particles”, Soviet Math. Dokl., 1 (1960), 300–302  mathscinet  zmath
85. N. N. Chensov, V. P. Chistyakov, Probability theory. Methodical instructions, MSU, Moscow, 1960 , 38 pp. (in Russian)
86. V. P. Chistyakov, “Transitional phenomena in branching processes with $n$ types of particles”, Dokl. Akad. Nauk SSSR, 131:3 (1960), 522–524  mathnet  mathscinet  zmath

87. V. P. Chistyakov, “Generalization of a theorem for branching processes”, Theor. Probability Appl., 4:1 (1959), 103–106  mathnet  crossref  mathscinet  mathscinet  zmath
88. V. P. Chistyakov, “Two limit theorems for branching processes with $n$ types of particles”, Theory Probab. Appl., 4:4 (1959), 477–478

89. V. P. Chistyakov, “Local Limit Theorems in the Theory of Branching Random Processes”, Theory Probab. Appl., 2:3 (1957), 345–363  mathnet  crossref  mathscinet  zmath

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