Strong consistency properties of nonparametric estimators for randomly censored data. I: The product-limit estimator

DOI10.1007/BF02026619zbMath0432.60038OpenAlexW1973040223MaRDI QIDQ1138843

Antónia Földes, Lídia Rejtő, Benjamin B. Winter

Publication date: 1980

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02026619

zbMATH Keywords

reliabilityconsistency properties of nonparametric estimatorslimit estimator

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Strong limit theorems (60F15)

Related Items (14)

A smooth nonparametric quantile estimator from right-censored data ⋮ Inference for step-stress accelerated life tests under arbitrary right- censorship ⋮ A remark on the convergence rate of the product limit estimator ⋮ Strong consistency properties of nonparametric estimators for randomly censored data. II: Estimation of density and failure rate ⋮ Nonparametric Estimation With Censored Data From A Distributtion With Nonincreasing Density ⋮ Parametrische auswertung zensierter stichproben: bie weibullverteilung ⋮ Goodness-of-fit-tests for composite hypotheses with censored samples ⋮ Nonparametric density estimation from censored data ⋮ Strong approximations of some biometric estimates under random censorship ⋮ A LIL type result for the product limit estimator ⋮ A note on the LIL type result for the product limit estimator ⋮ Properties of some kernel estimators and of the adapted Loftsgarden- Quesenberry estimator of a density function for censored data ⋮ The rate of strong uniform consistency for the product-limit estimator ⋮ On the asymptotic normality of the kernel estimators of the density function and its derivatives under censoring

Cites Work

• Unnamed Item
• A large sample study of the life table and product limit estimates under random censorship
• Asymptotic Minimax Character of the Sample Distribution Function and of the Classical Multinomial Estimator
• Nonparametric Estimation from Incomplete Observations
• Expressing the Kaplan-Meier Estimator as a Function of Empirical Subsurvival Functions
• Probability Inequalities for Sums of Bounded Random Variables
• On Non-Parametric Estimates of Density Functions and Regression Curves

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