A note on the estimation of the integral of \(f^ 2(x)\)

DOI10.1016/0378-3758(84)90007-7zbMath0563.62028OpenAlexW2074455582MaRDI QIDQ1057595

Thomas P. Hettmansperger, James C. Aubuchon

Publication date: 1984

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(84)90007-7

zbMATH Keywords

density estimatorsestimation of integralsestimators based on confidence intervals

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05)

Related Items (9)

On the dispersion of multivariate median ⋮ Optimal bandwidth selection for kernel density functionals estimation ⋮ Rank-based inference for linear models: Asymmetric errors ⋮ Adaptive quadratic functional estimation of a weighted density by model selection ⋮ Comparison of two types of confidence intervals based on Wilcoxon-type \(R\)-estimators ⋮ A global stopping rule for recursive density estimators ⋮ Using non-stochastic terms to advantage in kernel-based estimation of integrated squared density derivatives ⋮ Nonparametric confidence intervals for the integral of a function of an unknown density ⋮ Optimal bandwidth estimators of kernel density functionals for contaminated data

Uses Software

• MINITAB

Cites Work

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• Remarks on Some Nonparametric Estimates of a Density Function
• On estimation of a class of efficacy-related parameters
• The Influence Curve and Its Role in Robust Estimation
• Estimating Regression Coefficients by Minimizing the Dispersion of the Residuals
• On the rate of convergence of an estimate of a functional of a probability density
• Nonparametric Confidence Intervals for a Shift Parameter
• On Estimation of a Probability Density Function and Mode
• Robust Statistics

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