Estimating the quantile function by Bernstein polynomials

DOI10.1016/0167-9473(87)90061-2zbMath0623.62036OpenAlexW2079650244MaRDI QIDQ1091701

Ana Fernández Palacín, José Muñoz-Pérez

Publication date: 1987

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-9473(87)90061-2

zbMATH Keywords

Bernstein polynomialsasymptotic behaviourquantile functionasymptotic unbiasednesslarge-sample behaviourlinear function of order statisticsmean integrable absolute errorsmooth weight functions

Mathematics Subject Classification ID

Nonparametric estimation (62G05)

Related Items (7)

A note on \((p,q)\)-Bernstein polynomials and their applications based on \((p,q)\)-calculus ⋮ The Bernstein polynomial estimator of a smooth quantile function ⋮ Unified estimators of smooth quantile and quantile density functions ⋮ A note on generalized Bernstein polynomial density estimators ⋮ Estimacion de la funcion cuantil y cuantil-densidad mediante polinomios de Kantorovic ⋮ Asymptotic properties of Bernstein estimators on the simplex ⋮ Estimation of probability characteristics by generalized Bernstein polynomials

Cites Work

• Relative deficiency of kernel type estimators of quantiles
• A kernel-type estimator for generalized quantiles
• Estimation of quantiles in certain nonparametric models
• Quantile interval estimation
• A new distribution-free quantile estimator
• A generalized quantile estimator
• Nonparametric Statistical Data Modeling

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