Robust Inference for Event Probabilities with Non-Markov Event Data

DOI10.1111/j.0006-341X.2002.00361.xzbMath1209.62047WikidataQ30699135 ScholiaQ30699135MaRDI QIDQ3078951

David V. Glidden

Publication date: 1 March 2011

Published in: Biometrics (Search for Journal in Brave)

zbMATH Keywords

confidence bandAalen-Johansen estimatorproduct integralmultivariate failure time data

Mathematics Subject Classification ID

Nonparametric robustness (62G35) Nonparametric estimation (62G05) Nonparametric tolerance and confidence regions (62G15) Estimation in survival analysis and censored data (62N02)

Related Items (14)

Nonparametric estimation of transition probabilities in the non‐Markov illness‐death model: A comparative study ⋮ Asymptotic theory for the Cox semi-Markov illness-death model ⋮ Nonparametric tests for multistate processes with clustered data ⋮ Targeted estimation of state occupation probabilities for the non‐Markov illness‐death model ⋮ Nonparametric analysis of nonhomogeneous multistate processes with clustered observations ⋮ A competing risks approach for nonparametric estimation of transition probabilities in a non-Markov illness-death model ⋮ The wild bootstrap for multivariate Nelson-Aalen estimators ⋮ Estimating summary functionals in multistate models with an application to hospital infection data ⋮ Nonparametric estimation of transition probabilities in a non-Markov illness-death model ⋮ Transition probability estimates for non-Markov multi-state models ⋮ Simple analysis of non-Markov models: A case study on heart transplant data ⋮ State occupation probabilities in non-Markov models ⋮ Landmark estimation of transition probabilities in non-Markov multi-state models with covariates ⋮ A hybrid landmark Aalen-Johansen estimator for transition probabilities in partially non-Markov multi-state models

Cites Work

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• Validity of the Aalen-Johansen estimators of stage occupation probabilities and Nelson-Aalen estimators of integrated transition hazards for non-Markov models
• A survey of product-integration with a view toward application in survival analysis
• Some Graphical Displays and Marginal Regression Analyses for Recurrent Failure Times and Time Dependent Covariates
• Nonparametric Estimation of Transition Intensities and Transition Probabilities: A Case Study of a Two-State Markov Process
• Confidence bands for a survival curve from censored data
• An Analysis for Transient States with Application to Tumor Shrinkage
• Checking the Cox model with cumulative sums of martingale-based residuals
• Nonparametric Estimation for the Three‐Stage Irreversible Illness–Death Model
• Statistical models based on counting processes

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