Some large sample results for a class of functionals of Kaplan-Meier estimator

DOI10.1007/BF02560206zbMath0899.62065OpenAlexW2313022964MaRDI QIDQ4397381

Qi Hua Wang

Publication date: 15 November 1998

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02560206

zbMATH Keywords

asymptotic normalityprobability inequalitysurvival timecensoring timecounting process martingalefunctionals of Kaplan-Meier estimatorsmean square error inequality

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Inequalities; stochastic orderings (60E15) Nonparametric estimation (62G05)

Related Items (1)

Estimation of the area under ROC curve with censored data

Cites Work

• Unnamed Item
• Large sample behaviour of the product-limit estimator on the whole line
• Strong embedding of the estimator of the distribution function under random censorship
• Almost sure asymptotic representation for a class of functionals of the Kaplan-Meier estimator
• Some large sample properties of an estimator of the hazard function from randomly censored data
• Nonparametric Estimation from Incomplete Observations
• Limit theorems for the ratio of the Kaplan-Meier estimator or the Altshuler estimator to the true survival function

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