Maximum approximate likelihood estimation in accelerated failure time model for interval-censored data.

accelerated failure time model beta mixture model current status data interval censoring smooth estimation survival curve

Journal

Statistics in medicine
ISSN: 1097-0258
Titre abrégé: Stat Med
Pays: England
ID NLM: 8215016

Informations de publication

Date de publication:
20 11 2023
Historique:
revised: 22 06 2023
received: 15 11 2022
accepted: 21 08 2023
medline: 23 10 2023
pubmed: 1 9 2023
entrez: 31 8 2023
Statut: ppublish

Résumé

The approximate Bernstein polynomial model, a mixture of beta distributions, is applied to obtain maximum likelihood estimates of the regression coefficients, the baseline density and the survival functions in an accelerated failure time model based on interval censored data including current status data. The estimators of the regression coefficients and the underlying baseline density function are shown to be consistent with almost parametric rates of convergence under some conditions for uncensored and/or interval censored data. Simulation shows that the proposed method is better than its competitors. The proposed method is illustrated by fitting the Breast Cosmetic and the HIV infection time data using the accelerated failure time model.

Identifiants

pubmed: 37652042
doi: 10.1002/sim.9893
doi:

Types de publication

Journal Article

Langues

eng

Sous-ensembles de citation

IM

Pagination

4886-4896

Informations de copyright

© 2023 The Author. Statistics in Medicine published by John Wiley & Sons Ltd.

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Auteurs

Zhong Guan (Z)

Department of Mathematical Sciences, Indiana University South Bend, South Bend, Indiana.

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