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A New Long-Term Survival Distribution

Author

Listed:
  • Francisco Louzada

    (Institute of Mathematical Science and Computing, University of São Paulo, Brazil)

  • Pedro Luiz Ramos

    (Institute of Mathematical Science and Computing, University of São Paulo, Brazil)

Abstract

In this paper a new long-term survival distribution named long term weighted Lindley distribution is proposed. This new model allows us to fit data where a part of the population is not susceptible to the event of interest. This model can be used in clinical studies where a portion of the population can be cured during a treatment. An account of mathematical properties of the new distribution is presented such as moments and survival properties. The maximum likelihood estimators (MLEs) for the parameters are presented. A numerical simulation is carried out in order to verify the performance of the MLEs. Finally, an important application related to the leukemia free-survival times for transplant patients are discussed to illustrates our proposed distribution.

Suggested Citation

  • Francisco Louzada & Pedro Luiz Ramos, 2017. "A New Long-Term Survival Distribution," Biostatistics and Biometrics Open Access Journal, Juniper Publishers Inc., vol. 1(5), pages 104-109, May.
    • Handle: RePEc:adp:jbboaj:v:1:y:2017:i:5:p:104-109
    DOI: 10.19080/BBOAJ.2017.01.555574
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    References listed on IDEAS

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    4. Ghitany, M.E. & Alqallaf, F. & Al-Mutairi, D.K. & Husain, H.A., 2011. "A two-parameter weighted Lindley distribution and its applications to survival data," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(6), pages 1190-1201.
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