A note on convergence rates for the product limit estimator

DOI10.1214/aos/1176345017zbMath0461.62040OpenAlexW1981382933MaRDI QIDQ1152655

S. H. Smith

Publication date: 1980

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1176345017

zbMATH Keywords

convergence ratesBayes estimatorcensored datastrong consistencyproduct limit estimatormean square consistencysurvival distribution

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Bayesian inference (62F15) Limit theorems in probability theory (60F99)

Related Items (8)

Asymptotic equivalence between two empirical mean residual life processes ⋮ Two-sided bias bound of the Kaplan-Meier estimator ⋮ Empirical Bayesian estimation in the model of competing risks ⋮ Estimating the mean of a mark variable under right censoring on the basis of a state function ⋮ An optimal completion of the product limit estimator ⋮ Local Linear Regression in Proportional Hazards Model with Censored Data ⋮ A LIL type result for the product limit estimator ⋮ The rate of strong uniform consistency for the product-limit estimator

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