A Bayesian Approach to Competing Risks Model with Masked Causes of Failure and Incomplete Failure Times

We present a Bayesian approach for analysis of competing risks survival data with masked causes of failure. This approach is often used to assess the impact of covariates on the hazard functions when the failure time is exactly observed for some subjects but only known to lie in an interval of time...

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Main Authors: Yosra Yousif, Faiz A. M. Elfaki, Meftah Hrairi, Oyelola A. Adegboye
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2020/8248640
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spelling doaj-79741e06162e44fd9cdffa162ba5376a2020-11-25T02:55:48ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472020-01-01202010.1155/2020/82486408248640A Bayesian Approach to Competing Risks Model with Masked Causes of Failure and Incomplete Failure TimesYosra Yousif0Faiz A. M. Elfaki1Meftah Hrairi2Oyelola A. Adegboye3Department of Mechanical Engineering, Faculty of Engineering, International Islamic University Malaysia, Kuala Lumpur, MalaysiaDepartment of Mathematics, Statistics and Physics, College of Arts and Sciences, Qatar University, Doha, QatarDepartment of Mechanical Engineering, Faculty of Engineering, International Islamic University Malaysia, Kuala Lumpur, MalaysiaEvolution Equations Research Group, Ton Duc Thang University, Ho Chi Minh City, VietnamWe present a Bayesian approach for analysis of competing risks survival data with masked causes of failure. This approach is often used to assess the impact of covariates on the hazard functions when the failure time is exactly observed for some subjects but only known to lie in an interval of time for the remaining subjects. Such data, known as partly interval-censored data, usually result from periodic inspection in production engineering. In this study, Dirichlet and Gamma processes are assumed as priors for masking probabilities and baseline hazards. Markov chain Monte Carlo (MCMC) technique is employed for the implementation of the Bayesian approach. The effectiveness of the proposed approach is illustrated with simulated and production engineering applications.http://dx.doi.org/10.1155/2020/8248640
collection DOAJ
language English
format Article
sources DOAJ
author Yosra Yousif
Faiz A. M. Elfaki
Meftah Hrairi
Oyelola A. Adegboye
spellingShingle Yosra Yousif
Faiz A. M. Elfaki
Meftah Hrairi
Oyelola A. Adegboye
A Bayesian Approach to Competing Risks Model with Masked Causes of Failure and Incomplete Failure Times
Mathematical Problems in Engineering
author_facet Yosra Yousif
Faiz A. M. Elfaki
Meftah Hrairi
Oyelola A. Adegboye
author_sort Yosra Yousif
title A Bayesian Approach to Competing Risks Model with Masked Causes of Failure and Incomplete Failure Times
title_short A Bayesian Approach to Competing Risks Model with Masked Causes of Failure and Incomplete Failure Times
title_full A Bayesian Approach to Competing Risks Model with Masked Causes of Failure and Incomplete Failure Times
title_fullStr A Bayesian Approach to Competing Risks Model with Masked Causes of Failure and Incomplete Failure Times
title_full_unstemmed A Bayesian Approach to Competing Risks Model with Masked Causes of Failure and Incomplete Failure Times
title_sort bayesian approach to competing risks model with masked causes of failure and incomplete failure times
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2020-01-01
description We present a Bayesian approach for analysis of competing risks survival data with masked causes of failure. This approach is often used to assess the impact of covariates on the hazard functions when the failure time is exactly observed for some subjects but only known to lie in an interval of time for the remaining subjects. Such data, known as partly interval-censored data, usually result from periodic inspection in production engineering. In this study, Dirichlet and Gamma processes are assumed as priors for masking probabilities and baseline hazards. Markov chain Monte Carlo (MCMC) technique is employed for the implementation of the Bayesian approach. The effectiveness of the proposed approach is illustrated with simulated and production engineering applications.
url http://dx.doi.org/10.1155/2020/8248640
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