|
|
|
|
References
|
|
| |
| 1. |
Donoho D., Johnstone I. M., “Ideal spatial adaptation via wavelet shrinkage”, Biometrika, 81:3 (1994), 425–455   |
| 2. |
Hall P., Kerkyacharian G., Picard D., “On the minimax optimality of block thresholded wavelet estimators”, Stat. Sinica, 9 (1999), 33–50 |
| 3. |
Cai T., “Adaptive wavelet estimation: A block thresholding and oracle inequality approach”, Ann. Stat., 28:3 (1999), 898–924 |
| 4. |
Stein C., “Estimation of the mean of a multivariate normal distribution”, Ann. Stat., 9:6 (1981), 1135–1151 |
| 5. |
Shestakov, O. V., “Asymptotic normality of adaptive wavelet thresholding risk estimation”, Dokl. Math., 86:1 (2012), 556–558  |
| 6. |
Shestakov O. V., “On the strong consistency of the adaptive risk estimator for wavelet thresholding”, J. Math. Sci., 214:1 (2016), 115–118 |
| 7. |
Shestakov O. V., “Statistical properties of the denoising method based on the stabilized hard thresholding”, Informatika i ee Primeneniya — Inform. Appl., 10:2 (2016), 65–69  |
| 8. |
Popenova P. S., O. V. Shestakov, “Analysis of statistical properties of the hybrid thresholding technique”, Bull. of the Tverskoy State University. Ser. Appl. Math., 2019, no. 1, 15–22 |
| 9. |
Donoho D., Johnstone I. M., “Adapting to unknown smoothness via wavelet shrinkage”, J. Am. Stat. Assoc., 90 (1995), 1200–1224 |
| 10. |
Donoho D., Johnstone I. M., “Minimax estimation via wavelet shrinkage”, Ann. Stat., 26:3 (1998), 879–921 |
| 11. |
Gao H.-Y., “Wavelet shrinkage denoising using the non-negative garrote”, J. Comput. Graph. Stat., 7:4 (1998), 469–488 |
| 12. |
Poornachandra S., Kumaravel N., Saravanan T. K., Somaskandan R., “WaveShrink using modified hyper-shrinkage function”, 27th Annual Conference (International) of the IEEE Engineering in Medicine and Biology Society Proceedings, IEEE, Piscataway, NJ, USA, 2005, 30–32 |
| 13. |
Lin Y., Cai J., “A new threshold function for signal denoising based on wavelet transform”, Conference (International) on Measuring Technology and Mechatronics Automation Proceedings, IEEE, Piscataway, NJ, USA, 2010, 200–203 |
| 14. |
Huang H.-C., Lee T. C. M., “Stabilized thresholding with generalized sure for image denoising”, 17th Conference (International) on Image Processing Proceedings, IEEE, Piscataway, NJ, USA, 2010, 1881–1884 |
| 15. |
He C., Xing J., Li J., Yang Q., Wang R., “A new wavelet thresholding function based on hyperbolic tangent function”, Math. Probl. Eng., 2015 (2015), 528656 |
| 16. |
Zhao R.-M., Cui H.-M., “Improved threshold denoising method based on wavelet transform”, 7th Conference (International) on Modelling, Identification and Control Proceedings, IEEE, Piscataway, NJ, USA, 2015, 7409352, 4 pp.  |
| 17. |
Mallat S., A wavelet tour of signal processing, Academic Press, New York, NY, USA, 1999, 857 pp. |
