Bahadur-kiefer theorems for kernel smooth product-limit quantile estimator

DOI10.1080/03610929508831652zbMath0875.62151OpenAlexW2316716883MaRDI QIDQ4337104

Yong Zhou

Publication date: 10 November 1997

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

Full work available at URL: https://doi.org/10.1080/03610929508831652

zbMATH Keywords

Bahadur representationproduct-limit estimatorsmooth PL quantile estimator and random censorship

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05)

Cites Work

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• Bahadur-Kiefer theorems for the product-limit process
• Strong approximations of the quantile process of the product-limit estimator
• A pointwise almost sure Bahadur-Kiefer-type representation for the product limit estimator
• Nonparametric Estimation from Incomplete Observations
• A Kernel-Type Estimator of a Quantile Function From Right-Censored Data
• Smooth nonparametric quantile estimation under censoring: simulations and bootstrap methods
• The rate of strong uniform consistency for the product-limit estimator

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