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A Bayesian Approach for Lifetime Modeling and Prediction with Multi-Type Group-Shared Missing Covariates

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  • Hao Zeng

    (College of Media Engineering, Communication University of Zhejiang, Hangzhou 310018, China)

  • Xuxue Sun

    (College of Media Engineering, Communication University of Zhejiang, Hangzhou 310018, China)

  • Kuo Wang

    (College of Data Science, Jiaxing University, Jiaxing 314001, China)

  • Yuxin Wen

    (Dale E. and Sarah Ann Fowler School of Engineering, Chapman University, Orange, CA 92618, USA)

  • Wujun Si

    (Department of Industrial, Systems and Manufacturing Engineering, Wichita State University, Wichita, KS 67260, USA)

  • Mingyang Li

    (Department of Industrial and Management Systems Engineering, University of South Florida, Tampa, FL 33620, USA)

Abstract

In the field of reliability engineering, covariate information shared among product units within a specific group (e.g., a manufacturing batch, an operating region), such as operating conditions and design settings, exerts substantial influence on product lifetime prediction. The covariates shared within each group may be missing due to sensing limitations and data privacy issues. The missing covariates shared within the same group commonly encompass a variety of attribute types, such as discrete types, continuous types, or mixed types. Existing studies have mainly considered single-type missing covariates at the individual level, and they have failed to thoroughly investigate the influence of multi-type group-shared missing covariates. Ignoring the multi-type group-shared missing covariates may result in biased estimates and inaccurate predictions of product lifetime, subsequently leading to suboptimal maintenance decisions with increased costs. To account for the influence of the group-shared missing covariates with different structures, a new flexible lifetime model with multi-type group-shared latent heterogeneity is proposed. We further develop a Bayesian estimation algorithm with data augmentation that jointly quantifies the influence of both observed and multi-type group-shared missing covariates on lifetime prediction. A tripartite method is then developed to examine the existence, identify the correct type, and quantify the influence of group-shared missing covariates. To demonstrate the effectiveness of the proposed approach, a comprehensive simulation study is carried out. A real case study involving tensile testing of molding material units is conducted to validate the proposed approach and demonstrate its practical applicability.

Suggested Citation

  • Hao Zeng & Xuxue Sun & Kuo Wang & Yuxin Wen & Wujun Si & Mingyang Li, 2024. "A Bayesian Approach for Lifetime Modeling and Prediction with Multi-Type Group-Shared Missing Covariates," Mathematics, MDPI, vol. 12(5), pages 1-23, February.
  • Handle: RePEc:gam:jmathe:v:12:y:2024:i:5:p:740-:d:1349249
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    References listed on IDEAS

    as
    1. Zhuang, Liangliang & Xu, Ancha & Pang, Jihong, 2021. "Product reliability analysis based on heavily censored interval data with batch effects," Reliability Engineering and System Safety, Elsevier, vol. 212(C).
    2. Ruiwen Zhou & Huiqiong Li & Jianguo Sun & Niansheng Tang, 2022. "A new approach to estimation of the proportional hazards model based on interval-censored data with missing covariates," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 28(3), pages 335-355, July.
    3. Li, Mingyang & Liu, Jian, 2016. "Bayesian hazard modeling based on lifetime data with latent heterogeneity," Reliability Engineering and System Safety, Elsevier, vol. 145(C), pages 183-189.
    4. Kangwon Seo & Rong Pan, 2017. "Data analysis of step-stress accelerated life tests with heterogeneous group effects," IISE Transactions, Taylor & Francis Journals, vol. 49(9), pages 885-898, September.
    5. Lauvernet, Claire & Helbert, Céline, 2020. "Metamodeling methods that incorporate qualitative variables for improved design of vegetative filter strips," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    6. Chen, Suiyao & Lu, Lu & Xiang, Yisha & Lu, Qing & Li, Mingyang, 2018. "A data heterogeneity modeling and quantification approach for field pre-assessment of chloride-induced corrosion in aging infrastructures," Reliability Engineering and System Safety, Elsevier, vol. 171(C), pages 123-135.
    7. Berg, Andreas & Meyer, Renate & Yu, Jun, 2004. "Deviance Information Criterion for Comparing Stochastic Volatility Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 22(1), pages 107-120, January.
    8. Cha, Ji Hwan & Finkelstein, Maxim, 2014. "Some notes on unobserved parameters (frailties) in reliability modeling," Reliability Engineering and System Safety, Elsevier, vol. 123(C), pages 99-103.
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