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A Non-Mixture Cure Model for Right-Censored Data with Fréchet Distribution

Author

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  • Durga H. Kutal

    (Department of Mathematical Sciences, Florida Atlantic University, Boca Raton, FL 33431, USA
    Durga H. Kutal currently is a visiting assistant professor at Wake Forest University, NC, USA.)

  • Lianfen Qian

    (Department of Mathematical Sciences, Florida Atlantic University, Boca Raton, FL 33431, USA
    Lianfen Qian is a distinguished guest professor of Wenzhou University, Wenzhou, China.)

Abstract

This paper considers a non-mixture cure model for right-censored data. It utilizes the maximum likelihood method to estimate model parameters in the non-mixture cure model. The simulation study is based on Fréchet susceptible distribution to evaluate the performance of the method. Compared with Weibull and exponentiated exponential distributions, the non-mixture Fréchet distribution is shown to be the best in modeling a real data on allogeneic marrow HLA-matched donors and ECOG phase III clinical trial e1684 data.

Suggested Citation

  • Durga H. Kutal & Lianfen Qian, 2018. "A Non-Mixture Cure Model for Right-Censored Data with Fréchet Distribution," Stats, MDPI, vol. 1(1), pages 1-13, November.
    • Handle: RePEc:gam:jstats:v:1:y:2018:i:1:p:13-188:d:183187
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    References listed on IDEAS

    as
    1. Patilea, Valentin & Van Keilegom, Ingrid, 2017. "A general approach for cure models in survival analysis," LIDAM Discussion Papers ISBA 2017008, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
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    5. Tsodikov A.D. & Ibrahim J.G. & Yakovlev A.Y., 2003. "Estimating Cure Rates From Survival Data: An Alternative to Two-Component Mixture Models," Journal of the American Statistical Association, American Statistical Association, vol. 98, pages 1063-1078, January.
    6. Els Goetghebeur & Louise Ryan, 2000. "Semiparametric Regression Analysis of Interval-Censored Data," Biometrics, The International Biometric Society, vol. 56(4), pages 1139-1144, December.
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    Cited by:

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