Compound Poisson frailty model with a gamma process prior for the baseline hazard: accounting for a cured fraction.
Bayesian approach
compound Poisson
frailty
gamma process
survival model
Journal
Journal of applied statistics
ISSN: 0266-4763
Titre abrégé: J Appl Stat
Pays: England
ID NLM: 9883455
Informations de publication
Date de publication:
2022
2022
Historique:
entrez:
10
10
2022
pubmed:
5
7
2021
medline:
5
7
2021
Statut:
epublish
Résumé
Cox model and traditional frailty models assume that all individuals will eventually experience the event of interest. This assumption is often overlooked, and situations will arise where it is not realistic. We introduce Compound Poisson frailty model for survival analysis to deal with populations in which some of the individuals will not experience the event of interest. This model assumes that the target population is a mixture of individuals with zero frailty and those with positive frailty. In this paper, we consider a compound Poisson frailty model for right-censored event times from a Bayesian perspective and compute the Bayesian estimator using the Markov Chain Monte Carlo method, where a Gamma process prior is adopted for the baseline hazard function. Furthermore, we evaluate the approach using simulation studies and demonstrate the methodology by analyzing the data from achalasia patient cohort.
Identifiants
pubmed: 36213779
doi: 10.1080/02664763.2021.1947997
pii: 1947997
pmc: PMC9542348
doi:
Types de publication
Journal Article
Langues
eng
Pagination
3377-3391Informations de copyright
© 2021 Informa UK Limited, trading as Taylor & Francis Group.
Déclaration de conflit d'intérêts
No potential conflict of interest was reported by the author(s).
Références
Biostatistics. 2003 Jan;4(1):123-42
pubmed: 12925334
Stat Med. 2001 May 15-30;20(9-10):1515-27
pubmed: 11343371
Middle East J Dig Dis. 2016 Jan;8(1):57-62
pubmed: 26933483
Stat Med. 2008 Apr 30;27(9):1468-89
pubmed: 17708511
Stat Med. 2011 May 30;30(12):1366-80
pubmed: 21337596
Stat Med. 2016 Jul 10;35(15):2609-34
pubmed: 26869051
Lifetime Data Anal. 2005 Mar;11(1):41-59
pubmed: 15747589
Stat Med. 2010 Jan 30;29(2):275-83
pubmed: 19856276
Biometrics. 2003 Jun;59(2):221-8
pubmed: 12926706
Stat Methods Med Res. 2013 Jun;22(3):243-60
pubmed: 21632696
Stat Med. 2008 Dec 10;27(28):5929-40
pubmed: 18618427
Biometrics. 2016 Mar;72(1):204-14
pubmed: 26295794
Biometrics. 2006 Dec;62(4):1044-52
pubmed: 17156278
Stat Med. 2013 Jul 10;32(15):2629-42
pubmed: 23280968
Biometrics. 2005 Jun;61(2):552-8
pubmed: 16011704
Biom J. 2013 Nov;55(6):866-84
pubmed: 23929494
Lancet. 2014 Jan 4;383(9911):83-93
pubmed: 23871090
N Engl J Med. 2011 May 12;364(19):1807-16
pubmed: 21561346
Stat Methods Med Res. 2020 Nov;29(11):3424-3454
pubmed: 32466712
Stat Med. 1988 Nov;7(11):1121-37
pubmed: 3201038
Stat Methods Med Res. 2017 Oct;26(5):2011-2028
pubmed: 28656796
Endosc Int Open. 2017 May;5(5):E331-E339
pubmed: 28484733
Stat Methods Med Res. 2017 Dec;26(6):2869-2884
pubmed: 26546256
J Am Stat Assoc. 2003 Dec 1;98(464):1063-1078
pubmed: 21151838