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A Parametric Non-Mixture Cure Survival Model with Censored Data

  • Noor Akma Ibrahim
  • Fauzia Taweab
  • Jayanthi Arasan
Chapter
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 307)

Abstract

In some medical studies, there is often an interest in the number of patients who are not susceptible to the event of interest (recurrence of disease) and expected to be cured. This article investigates the cure rate estimation based on non-mixture cure model in the presence of left, right and interval censored data. The model proposed based on log-normal distribution that incorporates the effects of covariates on the cure probability. The maximum likelihood estimation (MLE) approach is employed to estimate the model parameters and a simulation study is provided for assessing the efficiency of the proposed estimation procedure under various conditions.

Keywords

Censored data Cure fraction Interval Lognormal distribution MLE method Non-mixture cure model 

Notes

Acknowledgement

The authors are much thankful and grateful to the Institute for Mathematical Research, Universiti Putra Malaysia (UPM), for their generous support of this study.

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Noor Akma Ibrahim
    • 1
  • Fauzia Taweab
    • 2
    • 3
  • Jayanthi Arasan
    • 1
  1. 1.Department of MathematicsUniversiti Putra MalaysiaSerdangMalaysia
  2. 2.Institute for Mathematical ResearchUniversiti Putra MalaysiaSerdangMalaysia
  3. 3.Department of StatisticsUniversity of TripoliTripoliLibya

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