Bernstein estimator for unbounded density function
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Publication:5426312
DOI10.1080/10485250701441218zbMath1122.62018OpenAlexW2016013506MaRDI QIDQ5426312
Jean-Marie Rolin, Taoufik Bouezmarni
Publication date: 12 November 2007
Published in: Journal of Nonparametric Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10485250701441218
Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Strong limit theorems (60F15)
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Cites Work
- Unnamed Item
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- Beta kernel estimators for density functions
- The tight constant in the Dvoretzky-Kiefer-Wolfowitz inequality
- Asymptotic distributions of smoothed histograms
- Smoothing histograms by means of lattice- and continuous distributions
- Two-dimensional Bernstein polynomial density estimators
- Nonparametric curve estimation with Bernstein estimates
- On a Theorem of J. L. Walsh
- Remarks on Some Nonparametric Estimates of a Density Function
- Boundary modification for kernel regression
- Incorporating support constraints into nonparametric estimators of densities
- On the Choice of Smoothing Parameters for Parzen Estimators of Probability Density Functions
- Beta-Bernstein Smoothing for Regression Curves with Compact Support
- Consistency of the beta kernel density function estimator
- A histogram method of density estimation
- A Useful Convergence Theorem for Probability Distributions
