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Burnashev, Marat Valievich

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Total publications: 61
Scientific articles: 57
Presentations: 10

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Abstract pages:14818
Full texts:5248
References:865
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https://mathscinet.ams.org/mathscinet/MRAuthorID/189715

Publications in Math-Net.Ru
2020
1. M. V. Burnashev, “New upper bounds in the hypothesis testing problem with information constraints”, Probl. Peredachi Inf., 56:2 (2020),  64–81  mathnet; Problems Inform. Transmission, 56:2 (2020), 157–172  isi  scopus
2019
2. 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
2018
3. 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
4. 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
5. 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
2015
6. 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. 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
2014
8. 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
2012
9. 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
10. 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
11. 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
12. 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
2010
13. 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
2008
14. 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
2007
15. 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
16. 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
2006
17. 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
2005
18. 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
2004
19. 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
20. 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
21. 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
22. 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
2002
23. 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
2001
24. 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
25. 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
2000
26. 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
27. 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
28. 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
1999
29. 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
1998
30. 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
1996
31. 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
32. 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
1994
33. 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
34. 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
1993
35. 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
1990
36. 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
37. 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
1988
38. 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
1985
39. 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
1982
40. 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
41. 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
1981
42. 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
43. 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
44. 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
45. 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
1979
46. 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
47. 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
48. 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
49. 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
1977
50. 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
51. 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
52. 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
1976
53. 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
1975
54. 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
55. 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
1974
56. 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
1973
57. 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

2004
58. 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
1999
59. 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
60. 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
61. 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

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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