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Nonparametric regression of state occupation, entry, exit, and waiting times with multistate right-censored data.

Authors
  • Mostajabi, Farida
  • Datta, Somnath
Type
Published Article
Journal
Statistics in Medicine
Publisher
Wiley (John Wiley & Sons)
Publication Date
Jul 30, 2013
Volume
32
Issue
17
Pages
3006–3019
Identifiers
DOI: 10.1002/sim.5703
PMID: 23225570
Source
Medline
Keywords
License
Unknown

Abstract

We construct nonparametric regression estimators of a number of temporal functions in a multistate system based on a continuous univariate baseline covariate. These estimators include state occupation probabilities, state entry, exit, and waiting (sojourn) time distribution functions of a general progressive (e.g., acyclic) multistate model. We subject the data to right censoring, and the censoring mechanism is explainable by observable covariates that could be time dependent. The resulting estimators are valid even if the multistate process is non-Markov. We study the performance of the estimators in two simulation settings. We establish large sample consistency of these estimators. We illustrate our estimators using a data set on bone marrow transplant recipients.

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