Optimal Nonparametric Quantile Estimators. Towards a General Theory. A Survey

DOI10.1080/03610920802351127zbMath1162.62025OpenAlexW2048853773MaRDI QIDQ3631427

Ryszard Zieliński

Publication date: 9 June 2009

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

Full work available at URL: http://www.informaworld.com/smpp/./content~db=all~content=a909716188

zbMATH Keywords

quantilesoptimal estimationnonparametrics

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Order statistics; empirical distribution functions (62G30)

Related Items (4)

On the choice of the optimal single order statistic in quantile estimation ⋮ An optimal \(L\)-statistics quantile estimator for a set of location-scale populations ⋮ On unbiased optimal \(L\)-statistics quantile estimators ⋮ Exact nonparametric inference for component lifetime distribution based on lifetime data from systems with known signatures

Cites Work

• Unnamed Item
• Unnamed Item
• Approximate distributions of order statistics. With applications to nonparametric statistics
• Best equivariant nonparametric estimator of a quantile
• Ranggrößen als Schätzfunktionen
• Small-Sample Quantile Estimators in a Large Nonparametric Model
• Quantile interval estimation
• A Distribution-Free Median-Unbiased Quantile Estimator
• A new distribution-free quantile estimator
• Subsampling quantile estimators and uniformity criteria
• Pmc-optimal nonparametric quantile estimator
• Linear Statistical Inference and its Applications

This page was built for publication: Optimal Nonparametric Quantile Estimators. Towards a General Theory. A Survey