Small sample confidence intervals for survival functions under the proportional hazards model

DOI10.1080/03610926.2017.1406514OpenAlexW2772736642MaRDI QIDQ5075478

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Publication date: 16 May 2022

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

Full work available at URL: https://doi.org/10.1080/03610926.2017.1406514

zbMATH Keywords

proportional hazardsMellin transformsKaplan-Meier estimatorsaddlepoint approximationsACL estimator

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Nonparametric tolerance and confidence regions (62G15) Approximations to statistical distributions (nonasymptotic) (62E17) Estimation in survival analysis and censored data (62N02)

Cites Work

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• Nonparametric estimation of survival functions for incomplete observations when the life time distribution is proportionally related ot the censoring time distribution
• Saddle point approximation for the distribution of the sum of independent random variables
• A Comparison of Survival Function Estimators in the Koziol–Green Model
• Saddlepoint approximations as smoothers
• A Comparison of Several Methods of Estimating the Survival Function When There is Extreme Right Censoring
• Small-Sample Results for the Kaplan-Meier Estimator
• Saddlepoint Approximations in Statistics

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