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Burnashev Marat Valievich

Publications in Math-Net.Ru

  1. On the concentration function for a sum of random variables related to the binary symmetric channel

    Probl. Peredachi Inf., 61:1 (2025),  3–8
  2. On minimax detection of Gaussian stochastic sequences with imprecisely known means and covariance matrices

    Probl. Peredachi Inf., 58:3 (2022),  70–84
  3. On the reliability function for a BSC with noiseless feedback at zero rate

    Probl. Peredachi Inf., 58:3 (2022),  3–17
  4. On minimax detection of Gaussian stochastic sequences and Gaussian stationary signals

    Probl. Peredachi Inf., 57:3 (2021),  55–72
  5. New upper bounds in the hypothesis testing problem with information constraints

    Probl. Peredachi Inf., 56:2 (2020),  64–81
  6. On lower bounds on the spectrum of a binary code

    Probl. Peredachi Inf., 55:4 (2019),  76–85
  7. On detection of Gaussian stochactic vectors

    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 160:2 (2018),  250–257
  8. On detection of Gaussian stochastic sequences

    Probl. Peredachi Inf., 53:4 (2017),  49–68
  9. Two comparison theorems for distributions of Gaussian quadratic forms

    Probl. Peredachi Inf., 53:3 (2017),  3–15
  10. On the BSC reliability function: expanding the region where it is known exactly

    Probl. Peredachi Inf., 51:4 (2015),  3–22
  11. On limit distributions of the time of first passage over a high level

    Probl. Peredachi Inf., 51:2 (2015),  67–85
  12. On using feedback in a Gaussian channel

    Probl. Peredachi Inf., 50:3 (2014),  19–34
  13. On the reliability function for a noisy feedback Gaussian channel: Zero rate

    Probl. Peredachi Inf., 48:3 (2012),  3–22
  14. Sequential estimation of a threshold crossing time for a Gaussian random walk through correlated observations

    Probl. Peredachi Inf., 48:2 (2012),  65–78
  15. On large deviations for Poisson stochastic integrals

    Probl. Peredachi Inf., 48:1 (2012),  64–79
  16. On minimax detection of the intensity of Poisson process

    Teor. Veroyatnost. i Primenen., 57:2 (2012),  209–224
  17. On the reliability function for a BSC with noisy feedback

    Probl. Peredachi Inf., 46:2 (2010),  3–23
  18. On the Zero-Rate Error Exponent for a BSC with Noisy Feedback

    Probl. Peredachi Inf., 44:3 (2008),  33–49
  19. Code Spectrum and the Reliability Function: Gaussian Channel

    Probl. Peredachi Inf., 43:2 (2007),  3–24
  20. Addendum to the Paper “Code Spectrum and the Reliability Function: Binary Symmetric Channel”

    Probl. Peredachi Inf., 43:1 (2007),  28–31
  21. Code Spectrum and the Reliability Function: Binary Symmetric Channel

    Probl. Peredachi Inf., 42:4 (2006),  3–22
  22. Sharpening of the Upper Bound for the Reliability Function of a Binary Symmetric Channel

    Probl. Peredachi Inf., 41:4 (2005),  3–22
  23. Analysis of the Dynamics of Iterative Interference Cancellation in Iterative Decoding

    Probl. Peredachi Inf., 40:4 (2004),  3–25
  24. On Optimal Detectors in Multi-User Detection Problems

    Probl. Peredachi Inf., 40:1 (2004),  48–57
  25. On Some Singularities in Problems of Parameter Estimation

    Probl. Peredachi Inf., 39:4 (2003),  41–62
  26. On Optimal Detectors, Asymptotic Efficiency, and Some CDMA Problems

    Probl. Peredachi Inf., 39:2 (2003),  36–52
  27. On Density Estimation under Relative Entropy Loss Criterion

    Probl. Peredachi Inf., 38:4 (2002),  85–112
  28. On Upper Bounds for the Decoding Error Probability of Convolutional Codes

    Probl. Peredachi Inf., 37:4 (2001),  36–55
  29. On Some Estimation Problems with Information Constraints

    Teor. Veroyatnost. i Primenen., 46:2 (2001),  233–246
  30. On the Relation between the Code Spectrum and the Decoding Error Probability

    Probl. Peredachi Inf., 36:4 (2000),  3–24
  31. On the Method of Types and Approximation of Output Measures for Channels with Finite Alphabets

    Probl. Peredachi Inf., 36:3 (2000),  3–21
  32. On some testing of hypothesis problems with information constraints

    Teor. Veroyatnost. i Primenen., 45:4 (2000),  625–638
  33. On the Sphere-Packing Bound, Capacity, and Similar Results for Poisson Channels

    Probl. Peredachi Inf., 35:2 (1999),  3–22
  34. On the Reliability Function for a Quantum Communication Channel

    Probl. Peredachi Inf., 34:2 (1998),  3–15
  35. Authentication, Identification, and Pairwise Separated Measures

    Probl. Peredachi Inf., 32:1 (1996),  41–47
  36. Asymptotic expansions for median estimate of a parameter

    Teor. Veroyatnost. i Primenen., 41:4 (1996),  738–754
  37. Measures Separated in $L_1$ Metrics and ID-Codes

    Probl. Peredachi Inf., 30:3 (1994),  3–14
  38. Estimate for the Maximal Number of Messages for a Given Probability of Successful Deception

    Probl. Peredachi Inf., 30:2 (1994),  42–48
  39. On One Extremal Property of Hamming Halfspaces

    Probl. Peredachi Inf., 29:3 (1993),  101–103
  40. Symbol Error Probability for Convolutional Codes

    Probl. Peredachi Inf., 26:4 (1990),  3–15
  41. On a problem of detecting a signal that leads to stable distributions

    Teor. Veroyatnost. i Primenen., 35:3 (1990),  557–560
  42. On the Reliability Function of a Binary Symmetrical Channel with Feedback

    Probl. Peredachi Inf., 24:1 (1988),  3–10
  43. 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
  44. Discrimination of hypotheses for Gaussian measures, and a geometrical characterization of Gaussian distribution

    Mat. Zametki, 32:4 (1982),  549–556
  45. On Properties of Deep Frequency Modulation with a Threshold Effect

    Probl. Peredachi Inf., 18:2 (1982),  30–43
  46. 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
  47. Analysis of Second-Order Properties of Bayesian Estimates of Signal Parameter in White Gaussian Noise

    Probl. Peredachi Inf., 17:2 (1981),  57–68
  48. 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
  49. On a statistical problem connected with a random walk

    Teor. Veroyatnost. i Primenen., 26:3 (1981),  564–573
  50. 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
  51. 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
  52. Sequential discrimination of hypotheses with control of observations

    Izv. Akad. Nauk SSSR Ser. Mat., 43:6 (1979),  1203–1226
  53. On the minimax detection of imperfectly known signal in a white Gaussian noise

    Teor. Veroyatnost. i Primenen., 24:1 (1979),  106–118
  54. On control of the observation process in the problem of sequential disrimination among $N$ hypotheses

    Dokl. Akad. Nauk SSSR, 236:2 (1977),  281–283
  55. Limits of Attainable Accuracy for Transmission of a Parameter over a White Gaussian Channel

    Probl. Peredachi Inf., 13:4 (1977),  9–21
  56. Asymptotic expansions for estimates of a signal parameter in Gaussian white noise

    Mat. Sb. (N.S.), 104(146):2(10) (1977),  179–206
  57. Data Transmission over a Discrete Channel with Feedback. Random Transmission Time

    Probl. Peredachi Inf., 12:4 (1976),  10–30
  58. On Maximum-Likelihood Estimate for Signal Parameter in White Gaussian Noise

    Probl. Peredachi Inf., 11:4 (1975),  55–69
  59. On One Problem of Observation Control

    Probl. Peredachi Inf., 11:3 (1975),  44–52
  60. An Interval Estimation Problem for Controlled Observations

    Probl. Peredachi Inf., 10:3 (1974),  51–61
  61. Block Transmission of a Weak Signal in a Memoryless Channel

    Probl. Peredachi Inf., 9:1 (1973),  11–21

  62. Mark Semenovich Pinsker. In Memoriam

    Probl. Peredachi Inf., 40:1 (2004),  3–5
  63. Letter to the Editor

    Probl. Peredachi Inf., 35:1 (1999),  110–111
  64. Letter to the editors

    Teor. Veroyatnost. i Primenen., 40:3 (1995),  699–700
  65. Note on the Article “Data Transmission over a Discrete Channel with Feedback. Random Transmission Time”

    Probl. Peredachi Inf., 13:1 (1977),  108

© Steklov Math. Inst. of RAS, 2026