Nonparametric bivariate distribution estimation using Bernstein polynomials under right censoring

DOI10.1080/03610926.2020.1734832OpenAlexW3009650067MaRDI QIDQ5079158

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Publication date: 25 May 2022

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2020.1734832

zbMATH Keywords

asymptotic propertiesBernstein polynomialsright censoringnon parametric estimationbivariate distribution function

Mathematics Subject Classification ID

Statistics (62-XX)

Uses Software

• KernSmooth

Cites Work

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• On the asymptotic properties of the Bernstein estimator of the multivariate distribution function
• Large sample behavior of the Bernstein copula estimator
• Bivariate censored regression relying on a new estimator of the joint distribution function
• On the boundary properties of Bernstein polynomial estimators of density and distribution functions
• Kaplan-Meier estimate on the plane
• Strong embedding of the estimator of the distribution function under random censorship
• Application of Bernstein polynomials for smooth estimation of a distribution and density function
• Efficient estimation in the bivariate censoring model and repairing NPMLE
• On estimating distribution functions using Bernstein polynomials
• Consistent estimation under random censorship when covariables are present
• Smooth estimation of a distribution and density function on a hypercube using Bernstein polynomials for dependent random vectors
• Non‐parametric Copula Estimation Under Bivariate Censoring
• Estimation of Bivariate and Marginal Distributions with Censored Data
• Understanding Relationships Using Copulas

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