Asymptotic unbiased density estimators

DOI10.1051/ps:2007055zbMath1180.62046OpenAlexW2158844711MaRDI QIDQ5851008

Eric Matzner-Løber, Nicolas W. Hengartner

Publication date: 21 January 2010

Published in: ESAIM: Probability and Statistics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/104419

zbMATH Keywords

confidence intervalsasymptotic normalitybias reductionnonparametric density estimationkernel smoother

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20)

Related Items

Methodology for nonparametric bias reduction in kernel regression estimation, Asymptotically unbiased estimates of a distribution function in dose effect relationships, On clustering procedures and nonparametric mixture estimation

Uses Software

• KernSmooth

Cites Work

• Adaptive density flattening. - A metric distortion principle for combating bias in nearest neighbor methods
• Variable window width kernel estimates of probability densities
• On improving convergence rates for nonnegative kernel density estimators
• A law of the logarithm for kernel density estimators
• Exact mean integrated squared error
• A multiplicative bias reduction method for nonparametric regression
• Hierarchies of higher order kernels
• Locally parametric nonparametric density estimation
• Variable location and scale kernel density estimation
• On bandwidth variation in kernel estimates. A square root law
• Nonparametric density estimation with a parametric start
• Remarks on Some Nonparametric Estimates of a Density Function
• On the bias of variable bandwidth curve estimators
• Optimizing Kernel Methods: A Unifying Variational Principle
• Distribution estimation consistent in total variation and in two types of information divergence
• A note on bias reduction in variable‐kernel density estimates
• A simple bias reduction method for density estimation