Transition probability estimates for non-Markov multi-state models

DOI10.1111/biom.12349zbMath1419.62458OpenAlexW1864580479WikidataQ41609001 ScholiaQ41609001MaRDI QIDQ2809529

Andrew C. Titman

Publication date: 30 May 2016

Published in: Biometrics (Search for Journal in Brave)

Full work available at URL: https://eprints.lancs.ac.uk/id/eprint/73883/1/nonmarkov_archived.pdf

zbMATH Keywords

transition probabilitiesrobust estimationnonparametric estimationAalen-Johansen estimatormulti-state modelnon-Markov

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Nonparametric estimation (62G05) Non-Markovian processes: estimation (62M09) Estimation in survival analysis and censored data (62N02)

Related Items (9)

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 ⋮ 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 ⋮ Nonparametric tests for transition probabilities in nonhomogeneous Markov processes ⋮ 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 ⋮ Inference for transition probabilities in non-Markov multi-state models

Uses Software

• mstate
• etm

Cites Work

• Unnamed Item
• A competing risks approach for nonparametric estimation of transition probabilities in a non-Markov illness-death model
• Validity of the Aalen-Johansen estimators of stage occupation probabilities and Nelson-Aalen estimators of integrated transition hazards for non-Markov models
• 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
• Competing Risks and Multistate Models with R
• Nonparametric estimation of transition probabilities in the non‐Markov illness‐death model: A comparative study
• Inference for Events With Dependent Risks in Multiple Endpoint Studies
• Generalised linear models for correlated pseudo-observations, with applications to multi-state models
• Multi-state models for event history analysis
• Statistical models based on counting processes
• Nonparametric estimation of transition probabilities in a non-Markov illness-death model

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