Subsampling quantile estimator majorization inequalities

DOI10.1016/0167-7152(93)90030-MzbMath0797.62028MaRDI QIDQ1324574

W. D. Kaigh, Maria Alejandra Sorto

Publication date: 5 October 1994

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

zbMATH Keywords

Lorenz curveBernstein polynomial approximation schemescontinuous quantile function estimatorsHarrell-DavisKaigh- LachenbruchKaigh-ChengLorenz partial order majorization inequalitysubsampling quantile estimators

Mathematics Subject Classification ID

Nonparametric estimation (62G05)

Related Items

The Bernstein polynomial estimator of a smooth quantile function, Unified estimators of smooth quantile and quantile density functions, A Berry-Esseen-type theorem of quantile density estimators, Almost-sure uniform error bounds of general smooth estimators of quantile density functions.

Cites Work

• Majorization and the Lorenz order: a brief introduction
• Convex functions, partial orderings, and statistical applications
• A new distribution-free quantile estimator
• Subsampling quantile estimators and uniformity criteria
• Inequalities: theory of majorization and its applications
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