On the strong convergence of the product-limit estimator and its integrals under censoring and random truncation

DOI10.1016/S0167-7152(00)00052-3zbMath0969.62036MaRDI QIDQ1582654

Shu-yuan He, Grace L. Yang

Publication date: 4 October 2001

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

zbMATH Keywords

strong law of large numbersright censoringproduct limit estimatorleft truncationuniform strong consistency

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Strong limit theorems (60F15)

Related Items (9)

A Berry-Esséen Bound for the Product-Limit Estimator under Left-Truncation and Right-Censoring ⋮ Empirical likelihood ratio confidence intervals in terms of cumulative hazard function for left-truncated and right-censored data ⋮ Median regression model with left truncated and right censored data ⋮ A polar coordinate transformation for estimating bivariate survival functions with randomly censored and truncated data ⋮ Moments of the Product-Limit Estimator Under Left-Truncation and Right-Censoring ⋮ A goodness of fit test for left-truncated and right-censored data ⋮ Nonparametric estimation with left-truncated and right-censored data when the sample size before truncation is known ⋮ The strong law under a semiparametric model for truncated and censored data ⋮ A weighted quantile regression for left-truncated and right-censored data

Cites Work

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• Glivenko-Cantelli for Kaplan-Meier
• On strong uniform consistency of the Lynden-Bell estimator for truncated data
• Random truncation models and Markov processes
• Estimating a distribution function with truncated data
• Statistical models based on counting processes

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