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A Parametric Non-Mixture Cure Survival Model with Censored Data

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Computational Problems in Engineering

Part of the book series: Lecture Notes in Electrical Engineering ((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.

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References

  1. Berkson J, Gage R (1952) Survival curve for cancer patients following treatment. J Amer Statist Assoc 47:501–515

    Google Scholar 

  2. Taylor JMG (1995) Semi-parametric estimation in failure time mixture models. Biometrics 51:899–907

    Google Scholar 

  3. Maller RA, Zhou X (1996) Survival Analysis with Long-Term Survivors, Chichester. John Wiley and Sons

    Google Scholar 

  4. Sy JP, Taylor JMG(2000) Estimation in a cox proportional hazards cure model. Biometrics 56:227–236

    Google Scholar 

  5. Achcar A, Jorge, Coelho- Barros Emi’lio, A, Josmar Mazuchell (2012) T Cure fraction models using mixture and non-mixture models. Tatra Mt Math Publ 51:1–9

    Google Scholar 

  6. Mizoi MF, Bolfarine H, Lima ACP (2007) Cure rate models with measurement errors. Communications in Statistics—Simulation and Computation 36:185–196

    Google Scholar 

  7. Chen MH, Ibrahim JG, Sinha DA (1999) A new bayesian model for survival data with a surviving fraction. J Amer Statist Assoc 94:909–9198

    Google Scholar 

  8. Tsodikov AD, Ibrahim JG, Yakovlev AY (2003) Estimating cure rates from survival data: an alternative to two-component mixture models. J Amer Statist Assoc 98:1063–1078

    Google Scholar 

  9. Banerjee S, Carlin BP J (2004) The Parametric spatial cure rate models for interval-censored time-to-relapse data. Biometrics 60:268–275

    Google Scholar 

  10. Liu Hao, Shen (2009) A semi parametric regression cure model for interval censored data. J Amer Statist Assoc 487:1168–1178

    Google Scholar 

  11. Gutierrez RG (2002) Parametric frailty and shared frailty survival models. Stata 2:22–44

    Google Scholar 

  12. Zeng D, Yin G, Ibrahim JG (2006) Semi parametric transformation models for survival data with a cure fraction. J Amer Statist Assoc 101:670–684

    Google Scholar 

  13. Lindsey JC, Ryan LM (1998) Tutorial in biostatistics methods for interval censored data. Stat Med 17:219–238

    Google Scholar 

  14. Gomez G, Calle ML, Oller R (2004) Frequentist and bayesian approaches for interval-censored data. Statist Pap 45:139–173

    Google Scholar 

  15. Gomez G, Calle ML, Oller R, Langohr K (2009) Tutorial on methods for interval-censored data and their implementation in R. Statist Model 9:259–297

    Google Scholar 

  16. Lam KF, Xue H (2005) A semiparametric regression cure model with current status data. Biometrika 92:573–586

    Google Scholar 

  17. Kim Y, Jhun M (2008) Cure rate model with interval censored data. Stat Med 27:3–14

    Google Scholar 

  18. Sun J (2006) The statistical analysis of interval censored failure time data. Springer, New York

    Google Scholar 

  19. Kalbfleisch JD, Prentice RL (2002) The statistical analysis of failure time data, Wiley, New York

    Google Scholar 

  20. Claire L Weston, John R Thompson (2010) Modeling survival in childhood cancer studies using two- stage non-mixture cure models. Journal of Applied Statistics 37:1523–1535

    Google Scholar 

  21. Zhao Guolin MA (2008) Nonparametric and Parametric Survival Analysis of Censored Data with Possible Violation of Method Assumptions. Ph.D. Diss, North Carolina University

    Google Scholar 

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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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Authors and Affiliations

  1. Department of Mathematics, Universiti Putra Malaysia, 43400, Serdang, Selangor Darul Ehsan, Malaysia

    Noor Akma Ibrahim & Jayanthi Arasan

  2. Institute for Mathematical Research, Universiti Putra Malaysia, 43400, Serdang, Selangor Darul Ehsan, Malaysia

    Fauzia Taweab

  3. Department of Statistics, University of Tripoli, PO Box 3601381, Tripoli, Libya

    Fauzia Taweab

Authors
  1. Noor Akma Ibrahim
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  2. Fauzia Taweab
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  3. Jayanthi Arasan
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Corresponding author

Correspondence to Noor Akma Ibrahim .

Editor information

Editors and Affiliations

  1. Technical University of Sofia, Sofia, Bulgaria

    Nikos Mastorakis

  2. Technical University of Sofia, Sofia, Bulgaria

    Valeri Mladenov

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Ibrahim, N., Taweab, F., Arasan, J. (2014). A Parametric Non-Mixture Cure Survival Model with Censored Data. In: Mastorakis, N., Mladenov, V. (eds) Computational Problems in Engineering. Lecture Notes in Electrical Engineering, vol 307. Springer, Cham. https://doi.org/10.1007/978-3-319-03967-1_17

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  • DOI: https://doi.org/10.1007/978-3-319-03967-1_17

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-03966-4

  • Online ISBN: 978-3-319-03967-1

  • eBook Packages: EngineeringEngineering (R0)

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