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ℒ1-deficiency of the sample quantile estimator with respect to a kernel quantile estimator

Published:2013-10 Issue:10 Volume:83 Page:2399-2406
ISSN:0167-7152
Container-title:Statistics & Probability Letters
language:en
Short-container-title:Statistics & Probability Letters

Author:

Zhao Mu,Jiang Hongmei,Zhou Yong

Funder

NSF

NNSF

Publisher

Elsevier BV

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference21 articles.

1. Bahadur–Kiefer theorems for the product-limit process;Beirlant;Journal of Multivariate Analysis,1990

2. On almost sure representation for quantiles of the product limit estimator with applications;Cheng;The Indian Journal of Statistics, Series A,1984

3. Regression modeling for nonparametric estimation of distribution and quantile functions;Cheng;Statistica Sinica,2002

4. Relative deficiency of kernel type estimators of quantiles;Falk;The Annals of Statistics,1984

5. Asymptotic normality of the kernel quantile estimator;Falk;The Annals of Statistics,1985

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Berry–Esseen bounds for the percentile residual life function estimators;Statistics & Probability Letters;2015-09

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