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Semiparametric regression modelling of current status competing risks data: a Bayesian approach

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  • Pavithra Hariharan

    (Cochin University of Science and Technology)

  • P. G. Sankaran

    (Cochin University of Science and Technology)

Abstract

The current status censoring takes place in survival analysis when the exact event times are not known, but each individual is monitored once for their survival status. The current status data often arise in medical research, from situations that involve multiple causes of failure. Examining current status competing risks data, commonly encountered in epidemiological studies and clinical trials, is more advantageous with Bayesian methods compared to conventional approaches. They excel in integrating prior knowledge with the observed data and delivering accurate results even with small samples. Inspired by these advantages, the present study is pioneering in introducing a Bayesian framework for both modelling and analysis of current status competing risks data together with covariates. By means of the proportional hazards model, estimation procedures for the regression parameters and cumulative incidence functions are established assuming appropriate prior distributions. The posterior computation is performed using an adaptive Metropolis–Hastings algorithm. Methods for comparing and validating models have been devised. An assessment of the finite sample characteristics of the estimators is conducted through simulation studies. Through the application of this Bayesian approach to prostate cancer clinical trial data, its practical efficacy is demonstrated.

Suggested Citation

  • Pavithra Hariharan & P. G. Sankaran, 2024. "Semiparametric regression modelling of current status competing risks data: a Bayesian approach," Computational Statistics, Springer, vol. 39(4), pages 2083-2108, June.
  • Handle: RePEc:spr:compst:v:39:y:2024:i:4:d:10.1007_s00180-024-01455-8
    DOI: 10.1007/s00180-024-01455-8
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    1. Chib, Siddhartha, 2001. "Markov chain Monte Carlo methods: computation and inference," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 5, chapter 57, pages 3569-3649, Elsevier.
    2. Debajyoti Sinha & Tapabrata Maiti, 2004. "A Bayesian Approach for the Analysis of Panel-Count Data with Dependent Termination," Biometrics, The International Biometric Society, vol. 60(1), pages 34-40, March.
    3. Moulinath Banerjee & Jon A. Wellner, 2005. "Confidence Intervals for Current Status Data," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 32(3), pages 405-424, September.
    4. Chen, Yurong & Feng, Yanqin & Sun, Jianguo, 2015. "Regression analysis of multivariate current status data with auxiliary covariates under the additive hazards model," Computational Statistics & Data Analysis, Elsevier, vol. 87(C), pages 34-45.
    5. Cai, Bo & Lin, Xiaoyan & Wang, Lianming, 2011. "Bayesian proportional hazards model for current status data with monotone splines," Computational Statistics & Data Analysis, Elsevier, vol. 55(9), pages 2644-2651, September.
    6. Lianming Wang & David B. Dunson, 2011. "Semiparametric Bayes' Proportional Odds Models for Current Status Data with Underreporting," Biometrics, The International Biometric Society, vol. 67(3), pages 1111-1118, September.
    7. Nicholas P. Jewell, 2003. "Nonparametric estimation from current status data with competing risks," Biometrika, Biometrika Trust, vol. 90(1), pages 183-197, March.
    8. Michael G. Hudgens & Glen A. Satten & Ira M. Longini, 2001. "Nonparametric Maximum Likelihood Estimation for Competing Risks Survival Data Subject to Interval Censoring and Truncation," Biometrics, The International Biometric Society, vol. 57(1), pages 74-80, March.
    9. Peijie Wang & Xingwei Tong & Shishun Zhao & Jianguo Sun, 2015. "Regression Analysis of Left-truncated and Case I Interval-censored Data with the Additive Hazards Model," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 44(8), pages 1537-1551, April.
    10. David J. Spiegelhalter & Nicola G. Best & Bradley P. Carlin & Angelika Van Der Linde, 2002. "Bayesian measures of model complexity and fit," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 64(4), pages 583-639, October.
    11. Ling Ma & Tao Hu & Jianguo Sun, 2015. "Sieve maximum likelihood regression analysis of dependent current status data," Biometrika, Biometrika Trust, vol. 102(3), pages 731-738.
    12. Liang Zhu & Hui Zhao & Jianguo Sun & Wendy Leisenring & Leslie L. Robison, 2015. "Regression analysis of mixed recurrent-event and panel-count data with additive rate models," Biometrics, The International Biometric Society, vol. 71(1), pages 71-79, March.
    13. Ian Diamond & John McDonald & Iqbal Shah, 1986. "Proportional hazards models for current status data: Application to the study of differentials in age at weaning in Pakistan," Demography, Springer;Population Association of America (PAA), vol. 23(4), pages 607-620, November.
    14. Seung Jun Shin & Ying Yuan & Louise C. Strong & Jasmina Bojadzieva & Wenyi Wang, 2019. "Bayesian Semiparametric Estimation of Cancer-Specific Age-at-Onset Penetrance With Application to Li-Fraumeni Syndrome," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 114(526), pages 541-552, April.
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