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Analysis of noisy survival data with graphical proportional hazards measurement error models

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  • Li‐Pang Chen
  • Grace Y. Yi

Abstract

In survival data analysis, the Cox proportional hazards (PH) model is perhaps the most widely used model to feature the dependence of survival times on covariates. While many inference methods have been developed under such a model or its variants, those models are not adequate for handling data with complex structured covariates. High‐dimensional survival data often entail several features: (1) many covariates are inactive in explaining the survival information, (2) active covariates are associated in a network structure, and (3) some covariates are error‐contaminated. To hand such kinds of survival data, we propose graphical PH measurement error models and develop inferential procedures for the parameters of interest. Our proposed models significantly enlarge the scope of the usual Cox PH model and have great flexibility in characterizing survival data. Theoretical results are established to justify the proposed methods. Numerical studies are conducted to assess the performance of the proposed methods.

Suggested Citation

  • Li‐Pang Chen & Grace Y. Yi, 2021. "Analysis of noisy survival data with graphical proportional hazards measurement error models," Biometrics, The International Biometric Society, vol. 77(3), pages 956-969, September.
    • Handle: RePEc:bla:biomet:v:77:y:2021:i:3:p:956-969
    DOI: 10.1111/biom.13331
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    Cited by:

    1. Qihuang Zhang & Grace Y. Yi, 2023. "Generalized network structured models with mixed responses subject to measurement error and misclassification," Biometrics, The International Biometric Society, vol. 79(2), pages 1073-1088, June.
    2. Li-Pang Chen, 2022. "Network-Based Discriminant Analysis for Multiclassification," Journal of Classification, Springer;The Classification Society, vol. 39(3), pages 410-431, November.

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