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Burnashev, Marat Valievich
Statistics Math-Net.Ru
Total publications: 64
Scientific articles: 60
Presentations: 10

Number of views:
This page:3911
Abstract pages:20600
Full texts:7395
References:1440
Senior Researcher
Doctor of physico-mathematical sciences (1983)
Speciality: 01.01.05 (Probability theory and mathematical statistics)
E-mail:
Website: http://iitp.ru/ru/users/54.htm

https://www.mathnet.ru/eng/person25352
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https://mathscinet.ams.org/mathscinet/MRAuthorID/189715
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Publications in Math-Net.Ru Citations
2022
1. M. V. Burnashev, “On minimax detection of Gaussian stochastic sequences with imprecisely known means and covariance matrices”, Probl. Peredachi Inf., 58:3 (2022),  70–84  mathnet
2. M. V. Burnashev, “On the reliability function for a BSC with noiseless feedback at zero rate”, Probl. Peredachi Inf., 58:3 (2022),  3–17  mathnet  mathscinet
2021
3. M. V. Burnashev, “On minimax detection of Gaussian stochastic sequences and Gaussian stationary signals”, Probl. Peredachi Inf., 57:3 (2021),  55–72  mathnet; Problems Inform. Transmission, 57:3 (2021), 248–264  isi  scopus 2
2020
4. M. V. Burnashev, “New upper bounds in the hypothesis testing problem with information constraints”, Probl. Peredachi Inf., 56:2 (2020),  64–81  mathnet  elib; Problems Inform. Transmission, 56:2 (2020), 157–172  isi  scopus 2
2019
5. M. V. Burnashev, “On lower bounds on the spectrum of a binary code”, Probl. Peredachi Inf., 55:4 (2019),  76–85  mathnet  elib; Problems Inform. Transmission, 55:4 (2019), 366–375  isi  scopus 1
2018
6. M. V. Burnashev, “On detection of Gaussian stochactic vectors”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 160:2 (2018),  250–257  mathnet  isi
2017
7. M. V. Burnashev, “On detection of Gaussian stochastic sequences”, Probl. Peredachi Inf., 53:4 (2017),  49–68  mathnet  elib; Problems Inform. Transmission, 53:4 (2017), 349–367  isi  scopus 6
8. M. V. Burnashev, “Two comparison theorems for distributions of Gaussian quadratic forms”, Probl. Peredachi Inf., 53:3 (2017),  3–15  mathnet  elib; Problems Inform. Transmission, 53:3 (2017), 203–214  isi  scopus 3
2015
9. M. V. Burnashev, “On the BSC reliability function: expanding the region where it is known exactly”, Probl. Peredachi Inf., 51:4 (2015),  3–22  mathnet  elib; Problems Inform. Transmission, 51:4 (2015), 307–325  isi  scopus 7
10. M. V. Burnashev, G. K. Golubev, “On limit distributions of the time of first passage over a high level”, Probl. Peredachi Inf., 51:2 (2015),  67–85  mathnet  elib; Problems Inform. Transmission, 51:2 (2015), 148–164  isi  scopus 3
2014
11. M. V. Burnashev, H. Yamamoto, “On using feedback in a Gaussian channel”, Probl. Peredachi Inf., 50:3 (2014),  19–34  mathnet; Problems Inform. Transmission, 50:3 (2014), 217–231  isi  scopus 5
2012
12. M. V. Burnashev, H. Yamamoto, “On the reliability function for a noisy feedback Gaussian channel: Zero rate”, Probl. Peredachi Inf., 48:3 (2012),  3–22  mathnet; Problems Inform. Transmission, 48:3 (2012), 199–216  isi  scopus 12
13. M. V. Burnashev, A. Tchamkerten, “Sequential estimation of a threshold crossing time for a Gaussian random walk through correlated observations”, Probl. Peredachi Inf., 48:2 (2012),  65–78  mathnet; Problems Inform. Transmission, 48:2 (2012), 142–153  isi  scopus 2
14. M. V. Burnashev, Yu. A. Kutoyants, “On large deviations for Poisson stochastic integrals”, Probl. Peredachi Inf., 48:1 (2012),  64–79  mathnet; Problems Inform. Transmission, 48:1 (2012), 56–69  isi  scopus 1
15. M. V. Burnashev, Yu. A. Kutoyants, “On minimax detection of the intensity of Poisson process”, Teor. Veroyatnost. i Primenen., 57:2 (2012),  209–224  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 57:2 (2013), 183–195  isi  elib  scopus 1
2010
16. M. V. Burnashev, H. Yamamoto, “On the reliability function for a BSC with noisy feedback”, Probl. Peredachi Inf., 46:2 (2010),  3–23  mathnet  mathscinet; Problems Inform. Transmission, 46:2 (2010), 103–121  isi  scopus 14
2008
17. M. V. Burnashev, H. Yamamoto, “On the Zero-Rate Error Exponent for a BSC with Noisy Feedback”, Probl. Peredachi Inf., 44:3 (2008),  33–49  mathnet  mathscinet  zmath; Problems Inform. Transmission, 44:3 (2008), 198–213  isi  scopus 20
2007
18. M. V. Burnashev, “Code Spectrum and the Reliability Function: Gaussian Channel”, Probl. Peredachi Inf., 43:2 (2007),  3–24  mathnet  mathscinet  zmath; Problems Inform. Transmission, 43:2 (2007), 69–88  isi  scopus 5
19. M. V. Burnashev, “Addendum to the Paper “Code Spectrum and the Reliability Function: Binary Symmetric Channel””, Probl. Peredachi Inf., 43:1 (2007),  28–31  mathnet  mathscinet; Problems Inform. Transmission, 43:1 (2007), 23–25  isi  scopus 3
2006
20. M. V. Burnashev, “Code Spectrum and the Reliability Function: Binary Symmetric Channel”, Probl. Peredachi Inf., 42:4 (2006),  3–22  mathnet  mathscinet; Problems Inform. Transmission, 42:4 (2006), 263–281  scopus 6
2005
21. M. V. Burnashev, “Sharpening of the Upper Bound for the Reliability Function of a Binary Symmetric Channel”, Probl. Peredachi Inf., 41:4 (2005),  3–22  mathnet  mathscinet  zmath; Problems Inform. Transmission, 41:4 (2005), 301–318 14
2004
22. M. V. Burnashev, Ch. B. Schlegel, W. A. Krzymien, Zh. Shi, “Analysis of the Dynamics of Iterative Interference Cancellation in Iterative Decoding”, Probl. Peredachi Inf., 40:4 (2004),  3–25  mathnet  mathscinet  zmath; Problems Inform. Transmission, 40:4 (2004), 297–317 25
23. M. V. Burnashev, “On Optimal Detectors in Multi-User Detection Problems”, Probl. Peredachi Inf., 40:1 (2004),  48–57  mathnet  mathscinet  zmath; Problems Inform. Transmission, 40:1 (2004), 44–52
2003
24. Sh. Amari, M. V. Burnashev, “On Some Singularities in Problems of Parameter Estimation”, Probl. Peredachi Inf., 39:4 (2003),  41–62  mathnet  mathscinet  zmath; Problems Inform. Transmission, 39:4 (2003), 352–372 4
25. M. V. Burnashev, “On Optimal Detectors, Asymptotic Efficiency, and Some CDMA Problems”, Probl. Peredachi Inf., 39:2 (2003),  36–52  mathnet  mathscinet  zmath; Problems Inform. Transmission, 39:2 (2003), 191–206 2
2002
26. M. V. Burnashev, Sh. Amari, “On Density Estimation under Relative Entropy Loss Criterion”, Probl. Peredachi Inf., 38:4 (2002),  85–112  mathnet  mathscinet  zmath; Problems Inform. Transmission, 38:4 (2002), 323–246 1
2001
27. M. V. Burnashev, “On Upper Bounds for the Decoding Error Probability of Convolutional Codes”, Probl. Peredachi Inf., 37:4 (2001),  36–55  mathnet  mathscinet  zmath; Problems Inform. Transmission, 37:4 (2001), 307–324
28. M. V. Burnashev, T. S. Han, Shun-ichi Amari, “On Some Estimation Problems with Information Constraints”, Teor. Veroyatnost. i Primenen., 46:2 (2001),  233–246  mathnet  mathscinet  zmath; Theory Probab. Appl., 46:2 (2002), 214–225  isi 1
2000
29. M. V. Burnashev, “On the Relation between the Code Spectrum and the Decoding Error Probability”, Probl. Peredachi Inf., 36:4 (2000),  3–24  mathnet  mathscinet  zmath; Problems Inform. Transmission, 36:4 (2000), 285–304 11
30. M. V. Burnashev, “On the Method of Types and Approximation of Output Measures for Channels with Finite Alphabets”, Probl. Peredachi Inf., 36:3 (2000),  3–21  mathnet  mathscinet  zmath; Problems Inform. Transmission, 36:3 (2000), 195–212 3
31. M. V. Burnashev, Shun-ichi Amari, T. S. Han, “On some testing of hypothesis problems with information constraints”, Teor. Veroyatnost. i Primenen., 45:4 (2000),  625–638  mathnet  mathscinet  zmath; Theory Probab. Appl., 45:4 (2001), 558–568  isi 3
1999
32. M. V. Burnashev, Yu. A. Kutoyants, “On the Sphere-Packing Bound, Capacity, and Similar Results for Poisson Channels”, Probl. Peredachi Inf., 35:2 (1999),  3–22  mathnet  mathscinet  zmath; Problems Inform. Transmission, 35:2 (1999), 95–111 13
1998
33. M. V. Burnashev, A. S. Holevo, “On the Reliability Function for a Quantum Communication Channel”, Probl. Peredachi Inf., 34:2 (1998),  3–15  mathnet  mathscinet  zmath; Problems Inform. Transmission, 34:2 (1998), 97–107 23
1996
34. L. A. Bassalygo, M. V. Burnashev, “Authentication, Identification, and Pairwise Separated Measures”, Probl. Peredachi Inf., 32:1 (1996),  41–47  mathnet  mathscinet  zmath; Problems Inform. Transmission, 32:1 (1996), 33–39 7
35. M. V. Burnashev, “Asymptotic expansions for median estimate of a parameter”, Teor. Veroyatnost. i Primenen., 41:4 (1996),  738–754  mathnet  mathscinet  zmath; Theory Probab. Appl., 41:4 (1997), 632–645  isi 10
1994
36. M. V. Burnashev, S. Verdú, “Measures Separated in $L_1$ Metrics and ID-Codes”, Probl. Peredachi Inf., 30:3 (1994),  3–14  mathnet  mathscinet  zmath; Problems Inform. Transmission, 30:3 (1994), 191–201 5
37. L. A. Bassalygo, M. V. Burnashev, “Estimate for the Maximal Number of Messages for a Given Probability of Successful Deception”, Probl. Peredachi Inf., 30:2 (1994),  42–48  mathnet  mathscinet  zmath; Problems Inform. Transmission, 30:2 (1994), 129–134 1
1993
38. M. V. Burnashev, “On One Extremal Property of Hamming Halfspaces”, Probl. Peredachi Inf., 29:3 (1993),  101–103  mathnet  mathscinet  zmath; Problems Inform. Transmission, 29:3 (1993), 290–291 1
1990
39. M. V. Burnashev, D. L. Kon, “Symbol Error Probability for Convolutional Codes”, Probl. Peredachi Inf., 26:4 (1990),  3–15  mathnet  mathscinet  zmath; Problems Inform. Transmission, 26:4 (1990), 289–298 1
40. M. V. Burnashev, I. A. Begmatov, “On a problem of detecting a signal that leads to stable distributions”, Teor. Veroyatnost. i Primenen., 35:3 (1990),  557–560  mathnet  mathscinet  zmath; Theory Probab. Appl., 35:3 (1990), 556–560  isi 9
1988
41. M. V. Burnashev, “On the Reliability Function of a Binary Symmetrical Channel with Feedback”, Probl. Peredachi Inf., 24:1 (1988),  3–10  mathnet  mathscinet  zmath; Problems Inform. Transmission, 24:1 (1988), 1–7 10
1985
42. M. V. Burnashev, “On Minimum Attainable Mean-Square Error in Transmission of a Parameter over a Channel with White Gaussian Noise”, Probl. Peredachi Inf., 21:4 (1985),  3–16  mathnet  mathscinet  zmath; Problems Inform. Transmission, 21:4 (1985), 247–257 8
1982
43. M. V. Burnashev, “Discrimination of hypotheses for Gaussian measures, and a geometrical characterization of Gaussian distribution”, Mat. Zametki, 32:4 (1982),  549–556  mathnet  mathscinet  zmath; Math. Notes, 32:4 (1982), 757–761  isi 10
44. M. V. Burnashev, “On Properties of Deep Frequency Modulation with a Threshold Effect”, Probl. Peredachi Inf., 18:2 (1982),  30–43  mathnet  mathscinet  zmath; Problems Inform. Transmission, 18:2 (1982), 106–116 1
1981
45. M. V. Burnashev, “Investigation of second order properties of statistical estimators in a scheme of independent observations”, Izv. Akad. Nauk SSSR Ser. Mat., 45:3 (1981),  509–539  mathnet  mathscinet  zmath; Math. USSR-Izv., 18:3 (1982), 439–467 4
46. M. V. Burnashev, “Analysis of Second-Order Properties of Bayesian Estimates of Signal Parameter in White Gaussian Noise”, Probl. Peredachi Inf., 17:2 (1981),  57–68  mathnet  mathscinet  zmath; Problems Inform. Transmission, 17:2 (1981), 117–126
47. M. V. Burnashev, “Study of the Second-Order Properties of the Estimates of the Signal Parameter in White Gaussian Noise. Estimate of Maximum a posteriori Density”, Probl. Peredachi Inf., 17:1 (1981),  17–28  mathnet  mathscinet  zmath; Problems Inform. Transmission, 17:1 (1981), 10–18
48. M. V. Burnašev, “On a statistical problem connected with a random walk”, Teor. Veroyatnost. i Primenen., 26:3 (1981),  564–573  mathnet  mathscinet  zmath; Theory Probab. Appl., 26:3 (1982), 554–563  isi 3
1979
49. M. V. Burnashev, “Asymptotic expansions of the integral risk of statistical estimators of the location parameter in a scheme of independent observations”, Dokl. Akad. Nauk SSSR, 247:4 (1979),  783–786  mathnet  mathscinet  zmath 1
50. M. V. Burnashev, “On large deviations of the process of likelihood ratios for estimating a distribution parameter from independent observations”, Dokl. Akad. Nauk SSSR, 245:3 (1979),  523–527  mathnet  mathscinet  zmath 1
51. M. V. Burnashev, “Sequential discrimination of hypotheses with control of observations”, Izv. Akad. Nauk SSSR Ser. Mat., 43:6 (1979),  1203–1226  mathnet  mathscinet  zmath; Math. USSR-Izv., 15:3 (1980), 419–440  isi 30
52. M. V. Burnašev, “On the minimax detection of imperfectly known signal in a white Gaussian noise”, Teor. Veroyatnost. i Primenen., 24:1 (1979),  106–118  mathnet  mathscinet  zmath; Theory Probab. Appl., 24:1 (1979), 107–119  isi 45
1977
53. M. V. Burnashev, “On control of the observation process in the problem of sequential disrimination among $N$ hypotheses”, Dokl. Akad. Nauk SSSR, 236:2 (1977),  281–283  mathnet  mathscinet  zmath 1
54. M. V. Burnashev, “Limits of Attainable Accuracy for Transmission of a Parameter over a White Gaussian Channel”, Probl. Peredachi Inf., 13:4 (1977),  9–21  mathnet  mathscinet  zmath; Problems Inform. Transmission, 13:4 (1977), 251–260 6
55. M. V. Burnashev, “Asymptotic expansions for estimates of a signal parameter in Gaussian white noise”, Mat. Sb. (N.S.), 104(146):2(10) (1977),  179–206  mathnet  mathscinet  zmath; Math. USSR-Sb., 33:2 (1977), 159–184  isi 4
1976
56. M. V. Burnashev, “Data Transmission over a Discrete Channel with Feedback. Random Transmission Time”, Probl. Peredachi Inf., 12:4 (1976),  10–30  mathnet  mathscinet  zmath; Problems Inform. Transmission, 12:4 (1976), 250–265 16
1975
57. M. V. Burnashev, “On Maximum-Likelihood Estimate for Signal Parameter in White Gaussian Noise”, Probl. Peredachi Inf., 11:4 (1975),  55–69  mathnet  mathscinet  zmath; Problems Inform. Transmission, 11:4 (1975), 302–313 3
58. M. V. Burnashev, K. Sh. Zigangirov, “On One Problem of Observation Control”, Probl. Peredachi Inf., 11:3 (1975),  44–52  mathnet  mathscinet  zmath; Problems Inform. Transmission, 11:3 (1975), 213–220 1
1974
59. M. V. Burnashev, K. Sh. Zigangirov, “An Interval Estimation Problem for Controlled Observations”, Probl. Peredachi Inf., 10:3 (1974),  51–61  mathnet  mathscinet  zmath; Problems Inform. Transmission, 10:3 (1974), 223–231 1
1973
60. M. V. Burnashev, “Block Transmission of a Weak Signal in a Memoryless Channel”, Probl. Peredachi Inf., 9:1 (1973),  11–21  mathnet  mathscinet  zmath; Problems Inform. Transmission, 9:1 (1973), 7–14 1
2004
61. A. M. Barg, L. A. Bassalygo, V. M. Blinovskii, M. V. Burnashev, N. D. Vvedenskaya, G. K. Golubev, I. I. Dumer, K. Sh. Zigangirov, V. V. Zyablov, V. A. Zinov'ev, G. A. Kabatiansky, V. D. Kolesnik, N. A. Kuznetsov, V. A. Malyshev, R. A. Minlos, D. Yu. Nogin, I. A. Ovseevich, V. V. Prelov, Yu. L. Sagalovich, V. M. Tikhomirov, R. Z. Khas'minskii, B. S. Tsybakov, “Mark Semenovich Pinsker. In Memoriam”, Probl. Peredachi Inf., 40:1 (2004),  3–5  mathnet  mathscinet; Problems Inform. Transmission, 40:1 (2004), 1–4 2
1999
62. M. V. Burnashev, A. S. Holevo, “Letter to the Editor”, Probl. Peredachi Inf., 35:1 (1999),  110–111  mathnet  mathscinet  zmath; Problems Inform. Transmission, 35:1 (1999), 93–94
1995
63. M. V. Burnashev, “Letter to the editors”, Teor. Veroyatnost. i Primenen., 40:3 (1995),  699–700  mathnet  mathscinet; Theory Probab. Appl., 40:3 (1995), 595–596  isi
1977
64. M. V. Burnashev, “Note on the Article “Data Transmission over a Discrete Channel with Feedback. Random Transmission Time””, Probl. Peredachi Inf., 13:1 (1977),  108  mathnet  mathscinet  zmath; Problems Inform. Transmission, 13:1 (1977), 80 1

Presentations in Math-Net.Ru
1. Об обнаружении гауссовских стохастических последовательностей в гауссовском шуме
M. V. Burnashev
Seminar on Coding Theory
May 30, 2017 19:00
2. Идентификация в теории информации: небольшой обзор и немножко нового
M. V. Burnashev
Seminar on Coding Theory
December 20, 2016 19:00
3. О последовательном оценивании момента пересечения уровня гауссовским случайным блужданием по коррелированным наблюдениям
M. V. Burnashev
Seminar on Coding Theory
February 16, 2016 19:00
4. Sequential estimation of Gaussian random walk first-passage time from correlated observations
M. Burnashev
Workshop A. Novikov-70 «Stochastic Methods in Finance and Statistics»
December 28, 2015 10:15   
5. Об оценках снизу для вероятности ошибки декодирования и расширение области, где функция надежности ДСК известна в точности. Часть 2
M. V. Burnashev
Seminar on Coding Theory
May 12, 2015 19:00
6. Об оценках снизу для вероятности ошибки декодирования и расширение области, где функция надежности ДСК известна в точности. Часть 1
M. V. Burnashev
Seminar on Coding Theory
April 21, 2015 19:00
7. Правильное применение неравенства облегчает жизнь (новый взгляд на границу случайного кодирования с выбрасыванием)
M. V. Burnashev
Seminar on Coding Theory
November 25, 2014 19:00
8. On the Use of a Noisy Feedback in Gaussian Channel
M. V. Burnashev
Seminar on Coding Theory
January 21, 2014 19:00
9. Thresholds for the Iterative Decoding
M. V. Burnashev
Seminar on Coding Theory
February 12, 2013 19:00
10. Об оценивание моментов остановки случайного процесса по зашумленным наблюдениям
M. V. Burnashev
Principle Seminar of the Department of Probability Theory, Moscow State University
March 2, 2011 16:45

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