The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
Optimal spatial adaptation to inhomogeneous smoothness: an approach based on kernel estimates with variable bandwidth selectors
Open accessAbstract
A new variable bandwidth selector for kernel estimation is proposed. The application of this bandwidth selector leads to kernel estimates that achieve optimal rates of convergence over Besov classes. This implies that the procedure adapts to spatially inhomogeneous smoothness. In particular, the estimates share optimality properties with wavelet estimates based on thresholding of empirical wavelet coefficients.
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Cites
Classification And Regression Trees
Breiman, L., Friedman, J. H., Olshen, R. A., & Stone, C. J. (2017) · doi:10.1201/9781315139470 · Cited by 11,417
Ideal spatial adaptation by wavelet shrinkage
Donoho, D. L., & Johnstone, I. M. (1994) · Biometrika · doi:10.1093/biomet/81.3.425 · Cited by 8,760
Triebel, H. (1983) · Springer eBooks · doi:10.1007/978-3-0346-0416-1 · Cited by 4,194
Wavelet Shrinkage: Asymptopia?
Donoho, D. L., Johnstone, I. M., Kerkyacharian, G., & Picard, D. (1995) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1995.tb02032.x · Cited by 1,749
Minimax estimation via wavelet shrinkage
Donoho, D. L., & Johnstone, I. M. (1998) · The Annals of Statistics · doi:10.1214/aos/1024691081 · Cited by 1,005
Fan, J., & Gijbels, I. (1995) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1995.tb02034.x · Cited by 566
On a Problem of Adaptive Estimation in Gaussian White Noise
Lepski, O. (1991) · Theory of Probability and Its Applications · doi:10.1137/1135065 · Cited by 495
Self-citationOptimal pointwise adaptive methods in nonparametric estimation
Lepski, O. V., & Spokoiny, V. G. (1997) · The Annals of Statistics · doi:10.1214/aos/1030741083 · Cited by 179
Self-citationLuo, Z., & Wahba, G. (1997) · Journal of the American Statistical Association · doi:10.1080/01621459.1997.10473607 · Cited by 162
Locally Adaptive Bandwidth Choice for Kernel Regression Estimators
Brockmann, M., Gasser, T., & Herrmann, E. (1993) · Journal of the American Statistical Association · doi:10.1080/01621459.1993.10476411 · Cited by 161
Cited by
Risk bounds for model selection via penalization
Barron, A., Birgé, L., & Massart, P. (1999) · Probability Theory and Related Fields · doi:10.1007/s004400050210 · Cited by 657
Metadata
- Authors
- Lepski, O. V., Mammen, E., & Spokoiny, V. G.
- Venue
- The Annals of Statistics
- Publisher
- Institute of Mathematical Statistics
- Published
- 1997-06-01
- Volume
- 25
- Issue
- 3
- Pages
- 929-947
- ISSN
- 0090-5364 (ISSN-L)
- OpenAlex
- W1986360843
- Cited by
- 274
- References
- 11
- FWCI
- 10.69
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Lepski, O. V., Mammen, E., & Spokoiny, V. G. (1997). Optimal spatial adaptation to inhomogeneous smoothness: an approach based on kernel estimates with variable bandwidth selectors. The Annals of Statistics. https://doi.org/10.1214/aos/1069362731
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
