On the role of Volterra integral equations in self-consistent, product-limit, inverse probability of censoring weighted, and redistribution-to-the-right estimators for the survival function

DOI10.1007/S10985-024-09623-0MaRDI QIDQ6590179

Robert L. Strawderman, Author name not available (Why is that?)

Publication date: 21 August 2024

Published in: Lifetime Data Analysis (Search for Journal in Brave)

zbMATH Keywords

product integrationKaplan-Meier estimatorright-censoring

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Survival analysis and censored data (62Nxx)

Cites Work

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• Asymptotic properties of self-consistent estimators based on doubly censored data
• Solution of two Volterra integral equations
• On computation of NPMLE for middle-censored data
• A large sample study of generalized maximum likelihood estimators from incomplete data via self-consistency
• Two generalizations of the Gronwall inequality by product integration
• Algorithms for computing self-consistent and maximum likelihood estimators with doubly censored data
• Estimation of the truncation probability in the random truncation model
• A mass redistribution algorithm for right-censored and left-truncated time to event data
• A survey of product-integration with a view toward application in survival analysis
• Nonparametric Estimation from Incomplete Observations
• Estimation of the truncation probability with left-truncated and right-censored data
• A Less Strange Version of Milnor's Proof of Brouwer's Fixed-Point Theorem
• The Product-Limit Estimate as an Inverse-Probability-Weighted Average
• Nonparametric Estimation of a Survivorship Function with Doubly Censored Data
• A modification of the redistribution to the right algorithm using disease markers
• Nonparametric estimation with left-truncated and right-censored data when the sample size before truncation is known
• Statistical models based on counting processes

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