Nonparametric Bayesian estimation based on beta prior in cure model

Xiaobing Zhao; Cuiliu Xiao; Xian Zhou

doi:10.1109/ICBBE.2009.5162437

Nonparametric Bayesian estimation based on beta prior in cure model

Xiaobing Zhao^*, Cuiliu Xiao, Xian Zhou

^*Corresponding author for this work

Department of Actuarial Studies and Business Analytics

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution

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Abstract

This paper is to study nonparametric Bayesian estimation for a proportional hazards model with "long-term survivors". The cumulative hazards function is modeled by a beta process, and the priors of the cure rate and coefficient of covariates can be improper distributions under the proposed model. The posterior estimators of the cure rate, the coefficient for covariates and the survival function are estimated from the cases of discrete-time, continuous-time and grouped survival data. A set of leukemia data are re-analyzed to illustrate the proposed model and statistical inference via a Markov chain Monte Carlo (MCMC) algorithm with Gibbs sampling.

Original language	English
Title of host publication	3rd International Conference on Bioinformatics and Biomedical Engineering, iCBBE 2009
Place of Publication	Piscataway, N.J
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	1-6
Number of pages	6
ISBN (Print)	9781424429028
DOIs	https://doi.org/10.1109/ICBBE.2009.5162437
Publication status	Published - 2009
Event	3rd International Conference on Bioinformatics and Biomedical Engineering, iCBBE 2009 - Beijing, China Duration: 11 Jun 2009 → 13 Jun 2009

Other

Other	3rd International Conference on Bioinformatics and Biomedical Engineering, iCBBE 2009
Country	China
City	Beijing
Period	11/06/09 → 13/06/09

Bibliographical note

Copyright 2009 IEEE. Reprinted from Proceedings, the 3rd International Conference on Bioinformatics and Biomedical Engineering : iCBBE 2009 : June 11-16, 2009 Beijing, China. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of Macquarie Universityâ€™s products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.

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10.1109/ICBBE.2009.5162437

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Cite this

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Zhao, X, Xiao, C & Zhou, X 2009, Nonparametric Bayesian estimation based on beta prior in cure model. in 3rd International Conference on Bioinformatics and Biomedical Engineering, iCBBE 2009., 5162437, Institute of Electrical and Electronics Engineers (IEEE), Piscataway, N.J, pp. 1-6, 3rd International Conference on Bioinformatics and Biomedical Engineering, iCBBE 2009, Beijing, China, 11/06/09. https://doi.org/10.1109/ICBBE.2009.5162437

Nonparametric Bayesian estimation based on beta prior in cure model. / Zhao, Xiaobing; Xiao, Cuiliu; Zhou, Xian.

3rd International Conference on Bioinformatics and Biomedical Engineering, iCBBE 2009. Piscataway, N.J : Institute of Electrical and Electronics Engineers (IEEE), 2009. p. 1-6 5162437.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution

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