Optimal Rates of Convergence for Deconvolving a Density

Raymond J. Carroll, Peter A. Hall

Type: Article

Publication Date: 1988-12-01

Citations: 520

DOI: https://doi.org/10.1080/01621459.1988.10478718

View Publication

Locations

Journal of the American Statistical Association - View

Similar Works

Action	Title	Year	Authors
+	Optimal Rates of Convergence for Deconvolving a Density	1988	Raymond J. Carroll Peter Hall
+ PDF Chat	On the Optimal Rates of Convergence for Nonparametric Deconvolution Problems	1991	Jianqing Fan
+	OPTIMAL UNIFORM RATE OF CONVERGENCE FOR NONPARAMETRIC ESTIMATORS OF A DENSITY FUNCTION OR ITS DERIVATIVES11Research was supported by NSF Grant MCS 80-02732.	1983	Charles J. Stone
+	Optimal iterative density deconvolution	2004	Christian Hesse Alexander Meister
+	Optimal Smoothing of Density Estimates	1977	Grace Wahba
+	OPTIMAL GLOBAL RATES OF CONVERGENCE OF M－ESTIMATES FOR MULTIVARIATE NONPARAMETRIC REGRESSION	1995	施沛德王学仁
+	A Parzen–Rosenblatt type density estimator for circular data: exact and asymptotic optimal bandwidths	2023	Carlos Tenreiro
+	Density Deconvolution with Laplace Errors and Unknown Variance	2020	Jun Cai William C. Horrace Christopher F. Parmeter
+	Characterisation and uniqueness of optimal estimating function	1989	T.M. Durairajan
+	Optimal estimation	1996
+ PDF Chat	Nonparametric estimation and inverse problems	2006	Thomas Willer
+	Optimal Change‐point Estimation in Inverse Problems	1997	Michael H. Neumann
+	Optimal estimation in high-dimensional and nonparametric models	2019	Nikolay Baldin
+	Optimal global rates of convergence ofM-estimates for multivariate nonparametric regression	1995	Peide Shi Xueren Wang
+	Optimal convergence properties of kernel density estimators without differentiability conditions	1991	Rohana J. Karunamuni K. L. Mehra
+	Optimal nonparametric estimation of the density of regression errors with finite support	2006	Sam Efromovich
+	Gaussian deconvolution via differentiation	1992	Elias Masry John A. Rice
+ PDF Chat	Optimal Rates of Convergence for Nonparametric Estimators	1980	Charles J. Stone
+	Empirical Processes in M-Estimation	2000	Sara A. van de Geer
+	Minimax optimal rates of estimation in high dimensional additive models	2016	Ming Yuan Ding‐Xuan Zhou

Works That Cite This (438)

Action	Title	Year	Authors
+ PDF Chat	Entropic optimal transport is maximum-likelihood deconvolution	2018	Philippe Rigollet Jonathan Weed
+ PDF Chat	Variable selection in measurement error models	2010	Yanyuan Ma Runze Li
+	Semiparametric estimators of functional measurement error models with unknown error	2007	Peter Hall Yanyuan Ma
+ PDF Chat	Simultaneous treatment of unspecified heteroskedastic model error distribution and mismeasured covariates for restricted moment models	2017	Tanya P. Garcia Yanyuan Ma
+	Estimation and inference of error-prone covariate effect in the presence of confounding variables	2017	Jianxuan Liu Yanyuan Ma Li Zhu Raymond J. Carroll
+	A spline-assisted semiparametric approach to nonparametric measurement error models	2023	Fei Jiang Yanyuan Ma Raymond J. Carroll
+	Conditional density estimation with covariate measurement error	2020	Xianzheng Huang Haiming Zhou
+	Locally efficient semiparametric estimator for zero-inflated Poisson model with error-prone covariates	2020	Jianxuan Liu Sara Eftekharnejad
+ PDF Chat	Estimating the Upper Support Point in Deconvolution	2007	Lucie P. Aarts Piet Groeneboom Geurt Jongbloed
+	Minimax rates of convergence for Wasserstein deconvolution with supersmooth errors in any dimension	2013	Jérôme Dedecker Bertrand Michel

Works Cited by This (8)

Action	Title	Year	Authors
+	Formulas and Theorems for the Special Functions of Mathematical Physics	1966	Wilhelm Magnus Fritz Oberhettinger Raj Pal Soni
+ PDF Chat	Covariate Measurement Error in Logistic Regression	1985	Leonard A. Stefanski Raymond J. Carroll
+ PDF Chat	Conditional scores and optimal scores for generalized linear measurement-error models	1987	Leonard A. Stefanski Raymond J. Carroll
+	Covariate measurement error in generalized linear models	1987	Daniel W. Schafer
+	The effects of measurement error on parameter estimation	1985	Leonard A. Stefanski
+	On errors-in-variables for binary regression models	1984	Raymond J. Carroll Clifford H. Spiegelman K. K. Gordon Lan Kent T. Bailey Robert D. Abbott
+	Journal of The American Statistical Association	2004	Stephen E. Fienberg
+	Statistical Decision Theory	1980	James O. Berger