Presmoothing the Aalen-Johansen estimator in the illness-death model

DOI10.1214/13-EJS816zbMath1337.62205OpenAlexW2044590203MaRDI QIDQ1951167

Luís Machado, Jacobo de Uña-Álvarez, Ana Claudia Moreira

Publication date: 29 May 2013

Published in: Electronic Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ejs/1369148601

zbMATH Keywords

Kaplan-Meiermulti-state modelsMarkov conditionsemiparametric censorshipAalen-Johansen

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Applications of statistics to biology and medical sciences; meta analysis (62P10) Nonparametric estimation (62G05) Markov processes: estimation; hidden Markov models (62M05) Estimation in survival analysis and censored data (62N02) Reliability and life testing (62N05)

Related Items (4)

Nonparametric estimation of transition probabilities in the non‐Markov illness‐death model: A comparative study ⋮ Tailored optimal posttreatment surveillance for cancer recurrence ⋮ Nonparametric estimation of the survival function for ordered multivariate failure time data: A comparative study ⋮ Asymptotic representation of presmoothed Kaplan-Meier integrals with covariates in a semiparametric censorship model

Cites Work

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• Presmoothing the transition probabilities in the illness-death model
• Uniform consistency of a class of regression function estimators
• Semiparametric censorship model with covariates
• On semiparametric random censorship models
• Multi-state models: A review
• Validity of the Aalen-Johansen estimators of stage occupation probabilities and Nelson-Aalen estimators of integrated transition hazards for non-Markov models
• Asymptotic efficiency of estimation in the partial Koziol-Green model
• The central limit theorem under semiparametric random censorship models
• The strong law under semiparametric random censorship models
• A semiparametric estimator of the bivariate distribution function for censored gap times
• Best Subsets Logistic Regression
• Nonparametric Estimation from Incomplete Observations
• What Price Kaplan-Meier?
• Weak and strong uniform consistency of kernel regression estimates
• The uniform convergence of nearest neighbor regression function estimators and their application in optimization
• The uniform convergence of the nadaraya‐watson regression function estimate
• Strong consistency of presmoothed Kaplan–Meier integrals when covariables are present
• Presmoothed kernel density estimator for censored data
• Bootstrap Approximations in Model Checks for Binary Data
• Statistical models based on counting processes
• Nonparametric estimation of transition probabilities in a non-Markov illness-death model

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