Moments of the Product-Limit Estimator Under Left-Truncation and Right-Censoring

DOI10.1081/STA-200063278zbMath1071.62090OpenAlexW2046849017MaRDI QIDQ5697415

Yi-Ting Hwang

Publication date: 17 October 2005

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/sta-200063278

zbMATH Keywords

momentstruncationbiascensoring\(U\)-statistics

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Censored data models (62N01) Estimation in survival analysis and censored data (62N02)

Cites Work

• A heavy censoring limit theorem for the product limit estimator
• The strong law under random censorship
• Strong representations of the survival function estimator for truncated and censored data with applications
• On the strong convergence of the product-limit estimator and its integrals under censoring and random truncation
• Exact distribution of the Kaplan-Meier estimator under the proportional hazards model
• Asymptotic Minimax Character of the Sample Distribution Function and of the Classical Multinomial Estimator
• Nonparametric Estimation from Incomplete Observations
• Approximation Theorems of Mathematical Statistics
• Nonparametric analysis of truncated survival data, with application to AIDS
• Inference Based on Retrospective Ascertainment: An Analysis of the Data on Transfusion-Related AIDS
• Small-Sample Results for the Kaplan-Meier Estimator
• Estimating a distribution function with truncated data

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