Estimation in a competing risks proportional hazards model under length-biased sampling with censoring

DOI10.1007/s10985-013-9248-6zbMath1322.62243OpenAlexW2090625400WikidataQ53115553 ScholiaQ53115553MaRDI QIDQ746623

Syed N. U. A. Kirmani, Jean-Yves Dauxois, Agathe Guilloux

Publication date: 16 October 2015

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

Full work available at URL: https://doi.org/10.1007/s10985-013-9248-6

zbMATH Keywords

weak convergenceGaussian processnonparametric estimationcumulative incidence functionfunctional delta-methodmixed Poisson processcross-sectional sampleLexis diagram

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Censored data models (62N01) Sampling theory, sample surveys (62D05) Functional limit theorems; invariance principles (60F17) Estimation in survival analysis and censored data (62N02) Reliability and life testing (62N05)

Related Items (1)

Length-biased semicompeting risks models for cross-sectional data: an application to current duration of pregnancy attempt data

Uses Software

• SAS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Maximum likelihood estimator for cumulative incidence functions under proportionality con\-straint
• Empirical distributions in selection bias models
• Maximum likelihood estimation of a survival function under the Koziol- Green proportional hazards model
• Asymptotic properties of the product limit estimate under random truncation
• Large sample theory of empirical distributions in biased sampling models
• Nonparametric estimation in the presence of length bias
• Large sample study of empirical distributions in a random-multiplicative censoring model
• Testing the Koziol--Green model against monotone conditional odds for censoring.
• Weak convergence and empirical processes. With applications to statistics
• Nonparametric inference under competing risks and selection-biased sampling
• Sampling Bias in Population Studies-How to Use the Lexis Diagram
• Estimating the Occurrence Rate for Prevalent Survival Data in Competing Risks Models
• Statistical inference in the Lexis diagram
• Pseudo-partial likelihood for proportional hazards models with biased-sampling data
• A Biometrics Invited Paper with Discussion: The Natural Variability of Vital Rates and Associated Statistics
• A note on the product-limit estimator under right censoring and left truncation
• Multiplicative censoring, renewal processes, deconvolution and decreasing density: Nonparametric estimation
• Nonparametric Estimation from Cross-Sectional Survival Data
• Length-Biased Sampling With Right Censoring
• A new characterisation property of mixed Poisson processes via Berman's theorem
• Nelson–Aalen and product-limit estimation in selection bias models for censored populations
• Statistical Models for Prevalent Cohort Data
• Limit Theorems for Functions of Shortest Two-Sample Spacings and a Related Test
• On the theory of screening for chronic diseases
• Estimating a distribution function with truncated data
• Statistical models based on counting processes
• Survival analysis under cross-sectional sampling: length bias and multiplicative censoring
• Estimating the survival function under a generalized Koziol-Green model with partially informative censoring.

This page was built for publication: Estimation in a competing risks proportional hazards model under length-biased sampling with censoring