Confidence bands from censored samples

DOI10.2307/3314659zbMath0609.62069OpenAlexW2005639196MaRDI QIDQ3749944

Lajos Horváth, Sándor Csörgö

Publication date: 1986

Published in: Canadian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3314659

zbMATH Keywords

Brownian motionBrownian bridgeproduct-limit estimatorcensored dataconfidence bandsright censoredboundary crossing probability formulaeBreslow-Crowley invariance principleKaplan- Meier empirical processnarrowed Kolmogorov band

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Nonparametric tolerance and confidence regions (62G15)

Related Items (12)

Exact Nonparametric Bootstrap Confidence Bands for the Quantile Function Given Censored Data ⋮ Adjusted Hazard Rate Estimator Based on a Known Censoring Probability ⋮ Asymtotic results for the koziol-green model ⋮ Universal Gaussian approximations under random censorship ⋮ Families of smooth confidence bands for the survival function under the general random censorship model ⋮ Confidence bands for percentile residual lifetime under random censorship model ⋮ Nonparametric estimation of a survival function under progressive type-I multistage censoring ⋮ Strong approximations for dependent competing risks with independent censoring ⋮ On an exponential bound for the Kaplan-Meier estimator ⋮ Model-based confidence bands for survival functions ⋮ Confidence bands for quantile function under random censorship ⋮ The asymptotic distribution of the suprema of the standardized empirical processes under the Koziol-Green model

Cites Work

• Unnamed Item
• Strong approximations of the quantile process of the product-limit estimator
• Confidence bands for the Kaplan-Meier survival curve estimate
• A large sample study of the life table and product limit estimates under random censorship
• Nonparametric Estimation from Incomplete Observations
• A Modification of the Sequential Probability Ratio Test to Reduce the Sample Size
• Confidence bands for a survival curve from censored data
• Strong approximations of some biometric estimates under random censorship
• Limit theorems for the ratio of the empirical distribution function to the true distribution function

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