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A Nonidentifiability Aspect of the Two‐Stage Model of Carcinogenesis

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  • Leonid G. Hanin
  • Andrej Yu. Yakovlev

Abstract

This paper discusses identifiability of the two‐stage birth‐death‐mutation model of carcinogenesis. It is shown that the homogeneous version of the model is nonidentifiable; the same is all the more evident for its nonhomogeneous versions. This result implies that the model parameters cannot be uniquely estimated from time‐to‐tumor observations.

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  • Leonid G. Hanin & Andrej Yu. Yakovlev, 1996. "A Nonidentifiability Aspect of the Two‐Stage Model of Carcinogenesis," Risk Analysis, John Wiley & Sons, vol. 16(5), pages 711-715, October.
    • Handle: RePEc:wly:riskan:v:16:y:1996:i:5:p:711-715
    DOI: 10.1111/j.1539-6924.1996.tb00819.x
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    References listed on IDEAS

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    1. Suresh H. Moolgavkar & Georg Luebeck, 1990. "Two‐Event Model for Carcinogenesis: Biological, Mathematical, and Statistical Considerations," Risk Analysis, John Wiley & Sons, vol. 10(2), pages 323-341, June.
    2. Qi Zheng, 1994. "On the Exact Hazard and Survival Functions of the MVK Stochastic Carcinogenesis Model," Risk Analysis, John Wiley & Sons, vol. 14(6), pages 1081-1084, December.
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    Cited by:

    1. David B. Dunson & Donna D. Baird, 2002. "A Proportional Hazards Model for Incidence and Induced Remission of Disease," Biometrics, The International Biometric Society, vol. 58(1), pages 71-78, March.

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