An alternative distribution function estimation method using rational Bernstein polynomials

DOI10.1016/j.cam.2018.12.033zbMath1418.62134OpenAlexW2907333393WikidataQ128662914 ScholiaQ128662914MaRDI QIDQ2423511

Özlem Ege Oruç, Mahmut Sami Erdoğan, Çetin Dişibüyük

Publication date: 20 June 2019

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2018.12.033

zbMATH Keywords

Bernstein polynomialsdistribution function estimationaveraged squared errorsrational Bernstein polynomials

Mathematics Subject Classification ID

Density estimation (62G07)

Related Items (5)

Chaotic behaviour of fractional predator-prey dynamical system ⋮ On the le Cam distance between Poisson and Gaussian experiments and the asymptotic properties of Szasz estimators ⋮ Unnamed Item ⋮ Asymptotic properties of Bernstein estimators on the simplex ⋮ A numerical comparative study of generalized Bernstein-Kantorovich operators

Cites Work

• Exact mean integrated squared error
• Derivatives of rational Bézier curves
• Unimodal properties of B-spline and Bernstein-basis functions
• Application of Bernstein polynomials for smooth estimation of a distribution and density function
• Unimodal density estimation using Bernstein polynomials
• Interpolation and approximation by polynomials
• On estimating distribution functions using Bernstein polynomials
• Bernstein-Schoenberg operator with knots at the \(p\)-integers
• Distribution function estimation by constrained polynomial spline regression
• A bias-reduced approach to density estimation using Bernstein polynomials
• Smoothing techniques via the bezier curve
• Bernstein polynomial probability density estimation
• All of Nonparametric Statistics
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: An alternative distribution function estimation method using rational Bernstein polynomials