Strong and weak representations of cumulative hazard function and Kaplan- Meier estimators on increasing sets

DOI10.1016/0378-3758(94)00032-8zbMath0815.62016OpenAlexW2015919707MaRDI QIDQ1338385

Winfried Stute

Publication date: 18 December 1994

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(94)00032-8

zbMATH Keywords

order statisticboundsurvival functionrandom censorshipcumulative hazard functionKaplan-Meier estimatorsstrong and weak representations

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Order statistics; empirical distribution functions (62G30)

Related Items (16)

Weak representation of the cumulative hazard function under semiparametric random censorship models ⋮ Asymptotic Properties of Generalized Multivariate Rank Statistics ⋮ Multivariate hazard rates under random censorship ⋮ Maximum likelihood estimator for cumulative incidence functions under proportionality con\-straint ⋮ Estimation in a model of competing risks possibly depending on the presence of censorships ⋮ Strong approximations for dependent competing risks with independent censoring ⋮ On an exponential bound for the Kaplan-Meier estimator ⋮ An Odyssey to Incomplete Data: Winfried Stute’s Contribution to Survival Analysis ⋮ A strong linear representation for the maximum conditional hazard rate estimator in survival analysis ⋮ Extreme value statistics for censored data with heavy tails under competing risks ⋮ Nonparametric inference under a monotone hazard ratio order ⋮ ALMOST SURE REPRESENTATIONS OF THE CONDITIONAL HAZARD FUNCTION AND ITS MAXIMUM ESTIMATION UNDER RIGHT-CENSORING AND LEFT-TRUNCATION ⋮ LIMIT THEOREMS FOR ASYMPTOTICALLY MINIMAX ESTIMATION OF A DISTRIBUTION WITH INCREASING FAILURE RATE UNDER A RANDOM MIXED CENSORSHIP/TRUNCATION MODEL ⋮ Laws of the iterated logarithm for censored data ⋮ Estimation of linear error-in-covariables models with validation data under random censorship ⋮ On the locations of maxima and minima in a sequence of exchangeable random variables

Cites Work

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• A note on the asymptotic properties of the product-limit estimator on the whole line
• Strong uniform consistency for nonparametric survival curve estimators from randomly censored data
• Some properties of the Kaplan-Meier estimator for independent nonidentically distributed random variables
• A large sample study of the life table and product limit estimates under random censorship
• The product-limit estimator and the bootstrap: Some asymptotic representations
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• Nonparametric Estimation from Incomplete Observations
• Probability Inequalities for the Sum of Independent Random Variables
• Strong approximations of some biometric estimates under random censorship
• A LIL type result for the product limit estimator
• The rate of strong uniform consistency for the product-limit estimator

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