Sequential fixed-width confidence intervals for quantiles in the presence of censoring

DOI10.1016/0378-3758(89)90112-2zbMath0672.62085OpenAlexW2024939389MaRDI QIDQ1120233

Irène Gijbels, Noël Veraverbeke

Publication date: 1989

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(89)90112-2

zbMATH Keywords

Bahadur representationproduct-limit estimatorempirical quantilesrandom censorship modelalmost sure behavioursequential fixed-width confidence intervals for quantilessurvival distribution function

Mathematics Subject Classification ID

Strong limit theorems (60F15) Sequential estimation (62L12)

Related Items (2)

Asymptotic approximation of kernel-type estimators with its application. ⋮ Parametrically guided nonparametric density and hazard estimation with censored data

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Extremes and related properties of random sequences and processes
• Strong approximations of the quantile process of the product-limit estimator
• Weak asymptotic representations for quantiles of the product-limit estimator
• Generalized order statistics, Bahadur representations, and sequential nonparametric fixed-width confidence intervals
• The product-limit estimator and the bootstrap: Some asymptotic representations
• Nonparametric Estimation from Incomplete Observations
• Sequential confidence intervals based on generalized m-statistics
• A LIL type result for the product limit estimator
• Sequential Confidence Intervals Based on Rank Tests

This page was built for publication: Sequential fixed-width confidence intervals for quantiles in the presence of censoring