The DOI matches its Crossref record; 8 of the 8 references it cites were found in a registry or an index.
Deconvolving kernel density estimators
Abstract
This paper considers estimation of a continuous bounded probability density when observations from the density are contaminated by additive measurement errors having a known distribution. Properties of the estimator obtained by deconvolving a kernel estimator of the observed data are investigated. When the kernel used is sufficiently smooth the deconvolved estimator is shown to be pointwise consistent and bounds on its integrated mean squared error are derived. Very weak assumptions are made on the measurement-error density thereby permitting a comparison of the effects of different types of measurement error on the deconvolved estimator
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Cites
Using Kernel Density Estimates to Investigate Multimodality
Silverman, B. W. (1981) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1981.tb01155.x · Cited by 1,007
Optimal Rates of Convergence for Deconvolving a Density
Carroll, R. J., & Hall, P. (1988) · Journal of the American Statistical Association · doi:10.1080/01621459.1988.10478718 · Cited by 528
Self-citationOn a Formula for Correcting Statistics for the Effects of a known Probable Error of Observation
Eddington, A. S. (1913) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/73.5.359 · Cited by 512
Bagghi, P., Maritz, J. S., & Lwin, T. (1991) · Journal of the American Statistical Association · doi:10.2307/2289739 · Cited by 331
Trumpler, R. J., & Weaver, H. F. (1953) · University of California Press eBooks · doi:10.1525/9780520347533 · Cited by 188
An Estimation Procedure for Mixtures of Distributions
Choi, K., & Bulgren, W. G. (1968) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1968.tb00743.x · Cited by 175
Krutchkoff, R. G., & Maritz, J. S. (1971) · Revue de l Institut International de Statistique / Review of the International Statistical Institute · doi:10.2307/1402244 · Cited by 146
Construction of Sequences Estimating the Mixing Distribution
Deely, J., & Kruse, R. L. (1968) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177698536 · Cited by 60
Cited by
Equilibrium Wage Dispersion with Worker and Employer Heterogeneity
Postel-Vinay, F., & Robin, J.-M. (2002) · Econometrica · doi:10.1111/1468-0262.00377 · Cited by 718
Nonparametric prediction in measurement error models
Carroll, R. J., Delaigle, A., & Hall, P. (2009) · Journal of the American Statistical Association · doi:10.1198/jasa.2009.tm07543 · Cited by 51
Self-citation
Metadata
- Authors
- Stefanski, L. A., & Carroll, R. J.
- Venue
- Statistics
- Publisher
- Informa UK Limited
- Published
- 1990-01
- Volume
- 21
- Issue
- 2
- Pages
- 169-184
- ISSN
- 0233-1888 (ISSN-L)
- 1029-4910
- OpenAlex
- W1969946615
- Cited by
- 454
- References
- 8
- FWCI
- 4.26
- Type
- journal article
- Language
- en
- Open access
- closed
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- Stefanski, L. A., & Carroll, R. J. (1990). Deconvolving kernel density estimators. Statistics. https://doi.org/10.1080/02331889008802238
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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