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Shestakov Oleg Vladimirovich

Publications in Math-Net.Ru

  1. Risk estimate for the block thresholding method of solving inverse statistical problems with data on a random grid

    Inform. Primen., 19:3 (2025),  19–26
  2. Unbiased risk estimate for the firm shrinkage method of solving linear inverse problems

    Inform. Primen., 19:2 (2025),  9–16
  3. Solving inverse statistical problems using threshold processing methods that allow the construction of an unbiased estimate of the mean-square risk

    Inform. Primen., 19:1 (2025),  74–81
  4. Statistical properties of the mean-square risk estimate for the block threshold processing method in nonparametric regression problems with a random grid

    Inform. Primen., 18:4 (2024),  26–33
  5. Asymptotic normality and strong consistency of risk estimate when using the FDR threshold under weak dependence condition

    Inform. Primen., 18:3 (2024),  69–79
  6. Uniform convergence rate estimates for the integral balance index

    Inform. Primen., 18:1 (2024),  33–39
  7. Nonlinear regularization of the inversion of linear homogeneous operators using the block thresholding method

    Inform. Primen., 17:4 (2023),  2–8
  8. A method for estimating parameters of the gamma-exponential distribution from a sample with weakly dependent components

    Inform. Primen., 17:3 (2023),  58–63
  9. Mean-square risk of the FDR procedure under weak dependence

    Inform. Primen., 17:2 (2023),  34–40
  10. Unbiased thresholding risk estimate with two threshold values

    Inform. Primen., 16:4 (2022),  14–19
  11. The use of the FDR method of multiple hypothesis testing when inverting linear homogeneous operators

    Inform. Primen., 16:2 (2022),  44–51
  12. Minimax estimates of the loss function based on integral error probabilities during threshold processing of wavelet coefficients

    Inform. Primen., 15:4 (2021),  12–19
  13. A method for estimating bent, shape and scale parameters of the gamma-exponential distribution

    Inform. Primen., 15:3 (2021),  57–62
  14. Thresholding functions in the noise suppression methods based on the wavelet expansion of the signal

    Inform. Primen., 15:3 (2021),  51–56
  15. Analysis of the unbiased mean-square risk estimate of the block thresholding method

    Inform. Primen., 15:2 (2021),  30–35
  16. Some probability-statistical properties of the gamma-exponential distribution

    Sistemy i Sredstva Inform., 31:3 (2021),  18–35
  17. Method of logarithmic moments for estimating the gamma-exponential distribution parameters

    Inform. Primen., 14:3 (2020),  49–54
  18. On the statistical properties of risk estimate in the problem of inverting the Radon transform with a random volume of projection data

    Inform. Primen., 14:3 (2020),  44–48
  19. Asymptotics of the mean-square risk estimate in the problem of inverting the Radon transform from projections registered on a random grid

    Inform. Primen., 14:2 (2020),  26–32
  20. Asymptotic regularity of the wavelet methods of inverting linear homogeneous operators from observations recorded at random times

    Inform. Primen., 14:1 (2020),  3–9
  21. Average probability of error in calculating wavelet–vaguelette coefficients while inverting the Radon transform

    Sistemy i Sredstva Inform., 30:4 (2020),  14–24
  22. Estimation of the average error probability when calculating wavelet coefficients in the models with a long-term dependence

    Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2020, no. 1,  20–28
  23. The mean square risk of nonlinear regularization in the problem of inversion of linear homogeneous operators with a random sample size

    Inform. Primen., 13:4 (2019),  48–53
  24. Properties of wavelet estimates of signals recorded at random time points

    Inform. Primen., 13:2 (2019),  16–21
  25. Inversion of homogeneous operators using stabilized hard thresholding with unknown noise variance

    Inform. Primen., 13:1 (2019),  49–54
  26. Advantage index in Bayesian reliability and balance models with beta-polynomial a priori densities

    Sistemy i Sredstva Inform., 29:3 (2019),  29–38
  27. Convergence of the distribution of the threshold processing risk estimate to a mixture of normal laws at a random sample size

    Sistemy i Sredstva Inform., 29:2 (2019),  31–38
  28. Analysis of statistical properties of the hybrid thresholding technique

    Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2019, no. 1,  15–22
  29. Mean-square thresholding risk with a random sample size

    Inform. Primen., 12:3 (2018),  14–17
  30. Minimization of errors of calculating wavelet coefficients while solving inverse problems

    Inform. Primen., 12:2 (2018),  17–23
  31. Unbiased risk estimate of stabilized hard thresholding in the model with a long-range dependence

    Inform. Primen., 12:2 (2018),  11–16
  32. Bayesian models for testing large groups of service device

    Inform. Primen., 12:1 (2018),  105–108
  33. Accuracy of reconstruction of the multidimensional probability density by wavelet estimates of one-dimensional projections

    Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2018, no. 1,  21–30
  34. Universal thresholding in the models with non-Gaussian noise

    Inform. Primen., 11:2 (2017),  122–125
  35. Strong consistency of the mean square risk estimate in the inverse statistical problems

    Inform. Primen., 11:2 (2017),  117–121
  36. Local reconstruction of tomographic images in parallel and fan-beam scanning schemes

    Sistemy i Sredstva Inform., 27:3 (2017),  52–62
  37. Consistency of the risk estimate of the multiple hypothesis testing with the FDR threshold

    Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2017, no. 1,  5–16
  38. Precision analysis of wavelet processing of aerodynamic flow patterns

    Inform. Primen., 10:3 (2016),  46–54
  39. The strong law of large numbers for the risk estimate in the problem of tomographic image reconstruction from projections with a correlated noise

    Inform. Primen., 10:3 (2016),  41–45
  40. Statistical properties of the denoising method based on the stabilized hard thresholding

    Inform. Primen., 10:2 (2016),  65–69
  41. Estimation of the optimal rate of the wavelet thresholding risk based on the error probabilities

    Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2016, no. 1,  5–12
  42. Nonparametric estimation of multidimensional density with the use of wavelet estimates of univariate projections

    Inform. Primen., 9:2 (2015),  88–92
  43. Asymptotic properties of risk estimate in the problem of reconstructing images with correlated noise by inverting the Radon transform

    Inform. Primen., 8:4 (2014),  32–40
  44. Asymptotic properties of wavelet thresholding risk estimate in the model of data with correlated noise

    Inform. Primen., 8:1 (2014),  36–44
  45. Properties of window dispersion increments of a myogram as a stochastic process

    Sistemy i Sredstva Inform., 24:4 (2014),  86–99
  46. Inversion of spherical Radon transform in the class of discrete random functions

    Inform. Primen., 7:4 (2013),  75–81
  47. On the rate of convergence to the normal law of risk estimate for wavelet coefficients thresholding when using robust variance estimates

    Inform. Primen., 7:2 (2013),  40–49
  48. On the rate of convergence to the normal law of risk estimate for wavelet coefficients thresholding when using robust variance estimates

    Inform. Primen., 6:2 (2012),  122–128
  49. On the accuracy of normal approximation for risk estimate distribution when thresholding signal wavelet coefficients in case of unknown noise level

    Sistemy i Sredstva Inform., 22:1 (2012),  142–152
  50. About properties of estimation of average-square risk when regularizing the inverse of a linear homogeneous operator with adaptive thresholding treatment of the vaguelette-wavelet definition coefficients

    Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2012, no. 1,  117–130
  51. On the rate of convergence of sample median absolute deviation distribution to the normal law

    Inform. Primen., 5:3 (2011),  74–79
  52. Reconstruction of random function distributions in single photon emission tomography problems using trigonometric polynomial approximation of exponential multiplier

    Inform. Primen., 5:3 (2011),  17–20
  53. Normal approximation for distribution of risk estimate for wavelet coefficients thresholding when using sample variance

    Inform. Primen., 4:4 (2010),  72–79
  54. Asymptotic properties of risk estimate of wavelet-vaguelette coefficients thresholding in tomographic reconstruction problem

    Inform. Primen., 4:2 (2010),  36–45
  55. On stability of image reconstruction in the problems of emission tomography

    Inform. Primen., 3:3 (2009),  47–51
  56. Reconstruction of probabilistic characteristics of random functions in spect problems

    Inform. Primen., 3:1 (2009),  29–33
  57. Elimination of ectopic beats fromheart tachogramusing robust estimates

    Inform. Primen., 2:2 (2008),  47–54
  58. Fan-beam stochastic tomography

    Sistemy i Sredstva Inform., 2008, no. special issue,  62–77
  59. The application of wavelet expansions for solving the problems of computer tomography with a fan beam scanning schemes

    Sistemy i Sredstva Inform., 2006, no. special issue,  77–84

© Steklov Math. Inst. of RAS, 2026