Taylor series approximations of transformation kernel density estimators

DOI10.1080/10485259408832608zbMath1380.62151OpenAlexW2077602686MaRDI QIDQ3432403

David Ruppert, Ola G. Hössjer

Publication date: 16 April 2007

Published in: Journal of Nonparametric Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10485259408832608

Mathematics Subject Classification ID

Density estimation (62G07)

Related Items (3)

Asymptotic bias and variance for a general class of varying bandwidth density estimators ⋮ On the effect of estimating the error density in nonparametric deconvolution ⋮ From basic to reduced bias kernel density estimators: links via taylor series approximations

Cites Work

• Unnamed Item
• On improving density estimators which are not bona fide functions
• Improvement on some known nonparametric uniformly consistent estimators of derivatives of a density
• Asymptotics for the transformation kernel density estimator
• Approximation Theorems of Mathematical Statistics
• Mean squared errors of estimates of a density and its derivatives
• Convergence Criteria for Multiparameter Stochastic Processes and Some Applications
• On Estimation of a Probability Density Function and Mode

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