Nonparametric estimation of distributions with given marginals via Bernstein-Kantorovich polynomials: \(L_{1}\) and pointwise convergence theory

DOI10.1016/J.JMVA.2007.02.004zbMath1116.62039OpenAlexW2069953461MaRDI QIDQ996979

Alessio Sancetta

Publication date: 19 July 2007

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmva.2007.02.004

zbMATH Keywords

copulaBernstein polynomialnonparametric estimationKantorovich polynomial

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Basic hypergeometric functions (33D99)

Related Items (6)

A characterization of the absolute continuity in terms of convergence in variation for the sampling Kantorovich operators ⋮ Large sample behavior of the Bernstein copula estimator ⋮ Bivariate nonparametric estimation of the Pickands dependence function using Bernstein copula with kernel regression approach ⋮ On the boundary properties of Bernstein polynomial estimators of density and distribution functions ⋮ A note on generalized Bernstein polynomial density estimators ⋮ Asymptotic properties of Bernstein estimators on the simplex

Cites Work

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• CONSISTENCY OF ASYMMETRIC KERNEL DENSITY ESTIMATORS AND SMOOTHED HISTOGRAMS WITH APPLICATION TO INCOME DATA
• Bernstein estimator for unbounded density function

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