Some properties of the Lynden-Bell estimator with truncated data

DOI10.1016/0167-7152(95)00102-6zbMath0849.62024OpenAlexW1985797094MaRDI QIDQ1916220

Ao Yuan

Publication date: 6 November 1996

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(95)00102-6

zbMATH Keywords

bootstrapGaussian processBrownian bridgeproduct-limit estimatorweak consistencystrong consistencyLynden-Bell estimatorcensored observationsweak convergence resultsmartingale integral representationstruncated observations

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Bayesian inference (62F15) Nonparametric statistical resampling methods (62G09)

Cites Work

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• Probability inequalities for empirical processes and a law of the iterated logarithm
• Some asymptotic theory for the bootstrap
• Testing with replacement and the product limit estimator
• Estimating a distribution function with truncated and censored data
• Bootstrapping robust regression
• Bootstrapping the Kaplan-Meier Estimator
• An Elementary Approach to Weak Convergence for Quantile Processes, With Applications to Censored Survival Data
• Estimating a distribution function with truncated data

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