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On the likelihood of mixture cure models

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  • Wang, Antai
  • Zhang, Yilong
  • Shao, Yongzhao

Abstract

The EM algorithm has been used for inference of the mixture cure models. However, the complete-data and incomplete-data specifications have never been postulated appropriately in literature. The goal of this paper is to fill in this gap by deriving proper specifications.

Suggested Citation

  • Wang, Antai & Zhang, Yilong & Shao, Yongzhao, 2017. "On the likelihood of mixture cure models," Statistics & Probability Letters, Elsevier, vol. 131(C), pages 51-55.
    • Handle: RePEc:eee:stapro:v:131:y:2017:i:c:p:51-55
    DOI: 10.1016/j.spl.2017.08.006
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    References listed on IDEAS

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    1. Wenbin Lu, 2004. "On semiparametric transformation cure models," Biometrika, Biometrika Trust, vol. 91(2), pages 331-343, June.
    2. Yingwei Peng & Keith B. G. Dear, 2000. "A Nonparametric Mixture Model for Cure Rate Estimation," Biometrics, The International Biometric Society, vol. 56(1), pages 237-243, March.
    3. Judy P. Sy & Jeremy M. G. Taylor, 2000. "Estimation in a Cox Proportional Hazards Cure Model," Biometrics, The International Biometric Society, vol. 56(1), pages 227-236, March.
    4. Zhang, Jiajia & Peng, Yingwei, 2007. "An alternative estimation method for the accelerated failure time frailty model," Computational Statistics & Data Analysis, Elsevier, vol. 51(9), pages 4413-4423, May.
    5. Zhezhen Jin & D. Y. Lin & Zhiliang Ying, 2006. "On least-squares regression with censored data," Biometrika, Biometrika Trust, vol. 93(1), pages 147-161, March.
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    Cited by:

    1. Yilong Zhang & Xiaoxia Han & Yongzhao Shao, 2021. "The ROC of Cox proportional hazards cure models with application in cancer studies," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 27(2), pages 195-215, April.

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