Nonparametric estimation of transition probabilities in the non‐Markov illness‐death model: A comparative study

DOI10.1111/biom.12288zbMath1390.62246OpenAlexW1525459925WikidataQ41307838 ScholiaQ41307838MaRDI QIDQ3459932

Jacobo de Uña-Álvarez, Luis F. Meira-Machado

Publication date: 11 January 2016

Published in: Biometrics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11093/1226

zbMATH Keywords

survival analysisKaplan-Meiertransition probabilitiesnonparametric estimationAalen-Johansen estimatormulti-state modelMarkov condition

Mathematics Subject Classification ID

Density estimation (62G07) Applications of statistics to biology and medical sciences; meta analysis (62P10) Reliability and life testing (62N05)

Related Items (13)

A comparison of presmoothing methods in the estimation of transition probabilities ⋮ Nonparametric tests for multistate processes with clustered data ⋮ Long-term care models and dependence probability tables by acuity level: new empirical evidence from Switzerland ⋮ Estimation for an accelerated failure time model with intermediate states as auxiliary information ⋮ Targeted estimation of state occupation probabilities for the non‐Markov illness‐death model ⋮ Nonparametric estimation of the distribution of gap times for recurrent events ⋮ The Kaplan-Meier Integral in the Presence of Covariates: A Review ⋮ Reduced bias nonparametric lifetime density and hazard estimation ⋮ Methods for checking the Markov condition in multi-state survival data ⋮ Non-parametric inference of transition probabilities based on Aalen-Johansen integral estimators for acyclic multi-state models: application to LTC insurance ⋮ Transition probability estimates for non-Markov multi-state 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

• Unnamed Item
• Unnamed Item
• A competing risks approach for nonparametric estimation of transition probabilities in a non-Markov illness-death model
• Presmoothing the transition probabilities in the illness-death model
• Multi-state models: A review
• Analysis of multivariate survival data
• Validity of the Aalen-Johansen estimators of stage occupation probabilities and Nelson-Aalen estimators of integrated transition hazards for non-Markov models
• Presmoothing the Aalen-Johansen estimator in the illness-death model
• Multi-state models in epidemiology
• Bandwidth selection for the estimation of transition probabilities in the location-scale progressive three-state model
• Consistent estimation under random censorship when covariables are present
• Nonparametric estimation in an “illness-death” model when all transition times are interval censored
• Robust Inference for Event Probabilities with Non-Markov Event Data
• Estimation of Integrated Transition Hazards and Stage Occupation Probabilities for Non-Markov Systems Under Dependent Censoring
• Nonparametric Estimation in a Markov “Illness–Death” Process from Interval Censored Observations with Missing Intermediate Transition Status
• Inference for Events With Dependent Risks in Multiple Endpoint Studies
• Estimating the Extent of Tracking in Interval‐Censored Chain‐Of‐Events Data
• Estimation of covariate-dependent Markov transition probabilities from nested case-control data
• Nonparametric estimation of transition probabilities in a non-Markov illness-death model

This page was built for publication: Nonparametric estimation of transition probabilities in the non‐Markov illness‐death model: A comparative study