Deconvolution Problems in Nonparametric Statistics pdf epub mobi txt 电子书 下载 2025
- 非参数统计
- Deconvolution
- Nonparametric Statistics
- Inverse Problems
- Kernel Density Estimation
- Statistical Inference
- Signal Processing
- Density Estimation
- Ill-Posed Problems
- Regularization
- Asymptotic Theory
具体描述
This book gives an introduction to deconvolution problems in nonparametric statistics, e.g. density estimation based on contaminated data, errors-in-variables regression, and image reconstruction. Some real-life applications are discussed while we mainly focus on methodology (description of the estimation procedures) and theory (minimax convergence rates with rigorous proofs and adaptive smoothing parameter selection). In general, we have tried to present the proofs in such manner that only a low level of previous knowledge is needed. An appendix chapter on further results of Fourier analysis is also provided.
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