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Overview of Recent Advances on the Analysis of Interval-Censored Failure Time Data

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Emerging Topics in Modeling Interval-Censored Survival Data

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Abstract

As discussed by Dr. Finkelstein in Chap. 1, interval-censored failure time data are a general type of failure time or time-to-event data that often occur in many areas, including demographical studies, epidemiological studies, medical or public health research and social science. In contrast to the historic review of Chap. 1, this chapter will provide a brief review of some recent advances on several topics concerning the analysis of interval-censored data. These include the analysis of interval-censored data with time-dependent covariates, the presence of informative censoring, or the presence of a cured subgroup, respectively. Also it will cover the analysis of interval-censored data arising from case-cohort studies and the variable selection based on interval-censored data as well as the analysis of doubly interval-censored data.

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References

  • Bogaerts, K., Komarek, A. & Lesaffre, E. (2018). Survival analysis with interval-censored data: A practical approach with examples in R, SAS, and BUGS. Boca Raton: CRC Press.

    Google Scholar 

  • Chen, C. M., Shen, P. S., & Tseng, Y. K. (2018). Semiparametric transformation joint models for longitudinal covariates and interval-censored failure time. Computational Statistics and Data Analysis, 128, 116–127.

    Article  MathSciNet  MATH  Google Scholar 

  • Chen, D. G., Sun, J., & Peace, K. (2012). Interval-censored time-to-event data: Methods and applications. Boca Raton: CRC Press.

    Book  MATH  Google Scholar 

  • Chen, K., & Sun, J. (2022). Variable selection for time-varying effects based on interval-censored failure time data. Statistics and Its Interface, 15, 303–311.

    Article  MathSciNet  MATH  Google Scholar 

  • Cui, Q., Zhao, H., & Sun, J. (2018). A new copula model-based method for regression analysis of dependent current status data. Statistics and Its Interface, 11, 463–471.

    Article  MathSciNet  MATH  Google Scholar 

  • Du, M., Hu, T., & Sun, J. (2019). Semiparametric probit model for informative current status data. Statistics in Medicine, 38, 2219–2227.

    Article  MathSciNet  Google Scholar 

  • Du, M., Li, H., & Sun, J. (2020). Additive hazards regression for case-cohort studies with interval-censored data. Statistics and Its Interface, 13, 181–191.

    Article  MathSciNet  MATH  Google Scholar 

  • Du, M., Li, H., & Sun, J. (2021c). Regression analysis of censored data with nonignorable missing covariates and application to Alzheimer disease. Computational Statistics and Data Analysis, 157, 107157.

    Article  MathSciNet  MATH  Google Scholar 

  • Du, M., & Sun, J. (2021). Statistical analysis of interval-censored failure time data. Chinese Journal of Applied Probability and Statistics, 37, 627–654.

    MathSciNet  MATH  Google Scholar 

  • Du, M., & Sun, J. (2022). Variable selection for interval-censored failure time data. International Statistical Review, 90(2), 193–215.

    Article  MathSciNet  Google Scholar 

  • Du, M., Zhao, H., & Sun, J. (2021a). A unified approach to variable selection for Cox’s proportional hazards model with interval-censored failure time data. Statistical Methods for Medical Research, 30(8), 1833–1849.

    Article  MathSciNet  Google Scholar 

  • Du, M., Zhao, X., & Sun, J. (2022). Variable selection for case-cohort studies with informatively interval-censored outcomes. Computational Statistics and Data Analysis, 172, 107484.

    Article  MathSciNet  MATH  Google Scholar 

  • Du, M., Zhou, Q., Zhao, S., & Sun, J. (2021b). Regression analysis of case-cohort studies in the presence of dependent interval censoring. Journal of Applied Statistics, 48(5), 846–865.

    Article  MathSciNet  MATH  Google Scholar 

  • Gamage, P. W. W., Chaudari, M., Mcmahan, C. S., Kim, E. H. & Kosorok, M. R. (2020). An extended proportional hazards model for interval-censored data subject to instantaneous failures. Lifetime Data Analysis, 26, 158–182.

    Article  MathSciNet  MATH  Google Scholar 

  • Gao, F., & Chan, K. (2019). Semiparametric regression analysis of length-biased interval-censored data. Biometrics, 75, 121–132.

    Article  MathSciNet  MATH  Google Scholar 

  • Gao, F., Zeng, D., Couper, D., & Lin, D. (2019). Semiparametric regression analysis of multiple right- and interval-censored events. Journal of the American Statistical Association, 114, 1232–1240.

    Article  MathSciNet  MATH  Google Scholar 

  • He, B., Liu, Y., Wu, Y., & Zhao, X. (2020). Semiparametric efficient estimation for additive hazards regression with case II interval-censored survival data. Lifetime Data Analysis, 26, 708–730.

    Article  MathSciNet  MATH  Google Scholar 

  • Hu, Q., Zhu, L., Liu, Y., Sun, J., Srivastava, D. K., & Robison, L. L.(2020a). Nonparametric screening and feature selection for ultrahigh-dimensional case II interval-censored failure time. Biometrical Journal, 62(8), 1909–1925.

    Article  MathSciNet  MATH  Google Scholar 

  • Hu, T., & Xiang, L. (2016). Partially linear transformation cure models for interval-censored data [J]. Computational Statistics & Data Analysis, 93, 257–269.

    Article  MathSciNet  MATH  Google Scholar 

  • Hu, T., Zhou, Q., & Sun, J. (2017). Regression analysis of bivariate current status data under the proportional hazards model. The Canadian Journal of Statistics, 45, 410–424.

    Article  MathSciNet  MATH  Google Scholar 

  • Jiang, S., & Cook, R. J. (2020). A mixture model for bivariate interval-censored failure times with dependent susceptibility. Statistics in Biosciences, 12, 37–62.

    Article  Google Scholar 

  • Kalbfleisch, J. D., & Prentice, R. L. (2002). The statistical analysis of failure time data (2nd edn.). New York: Wiley.

    Book  MATH  Google Scholar 

  • Lee, C. Y., Wong, K. Y., Lam, K. F., & Xu, J. (2022). Analysis of clustered interval-censored data using a class of semiparametric partly linear frailty transformation model. Biometrics, 78(1), 165–178.

    Article  MathSciNet  Google Scholar 

  • Li, C., & Sun, J. (2020). Variable selection for high-dimensional quadratic cox model with application to alzheimers disease. International Journal of Biostatistics, 16(2). Article number 20190121. https://doi.org/10.1515/ijb-2019-0121

  • Li, H., Ma, C., Sun, J., & Tang, N. (2022). A new approach for regression analysis of multivariate current status data with informative censoring. Communications in Mathematics and Statistics (in press).

    Google Scholar 

  • Li, H., Zhang, H., & Sun, J. (2019b). Estimation of the additive hazards model with current status data in the presence of informative censoring. Statistics and Its Interface, 12, 321–330.

    Article  MathSciNet  MATH  Google Scholar 

  • Li, H., Zhang, H., Zhu, L., Li, N., & Sun, J. (2020d). Estimation of the additive hazards model with interval-censored data and missing covariates. The Canadian Journal of Statistics, 48, 499–517.

    Article  MathSciNet  MATH  Google Scholar 

  • Li, K., Chan, W., Doody, R. S., et al. (2017a). Prediction of conversion to Alzheimers disease with longitudinal measures and time-to-event data. Journal of Alzheimer’s Disease, 58, 361–371.

    Article  Google Scholar 

  • Li, S., Hu, T., & Sun, J. (2020e). Regression analysis of misclassified current status data. Journal of Nonparametric Statistics, 32, 1–19.

    Article  MathSciNet  MATH  Google Scholar 

  • Li, S., Hu, T., Tong, T., & Sun, J. (2020c). Semiparametric regression analysis of multivariate doubly-censored data. Statistical Modelling, 20(5), 502–526.

    Article  MathSciNet  MATH  Google Scholar 

  • Li, S., Hu, T. & Wang, P., & Sun, J. (2017b). Regression analysis of current status data in the presence of dependent censoring with applications to tumorigenicity experiments. Computational Statistics and Data Analysis, 110, 75–86.

    Article  MathSciNet  MATH  Google Scholar 

  • Li, S., Hu, T., Wang, P., & Sun, J. (2018). A class of semiparametric transformation models for doubly censored failure time data. Scandinavian Journal of Statistics, 45, 682–698.

    Article  MathSciNet  MATH  Google Scholar 

  • Li, S., Hu, T., Zhao, X., & Sun, J. (2019a). A class of semiparametric transformation cure models for interval-censored failure time data. Computational Statistics and Data Analysis, 133, 153–165.

    Article  MathSciNet  MATH  Google Scholar 

  • Li, S., Hu, T., Zhao, S., & Sun, J. (2020b). Regression analysis of multivariate current status data with semiparametric transformation frailty models. Statistica Sinica, 30, 1117–1134.

    MathSciNet  MATH  Google Scholar 

  • Li, S., & Peng, L. (2021). Instrumental variable estimation of complier causal treatment effect with interval-censored data. Biometrics. https://doi.org/10.1111/biom.13565

  • Li, S., Wu, Q., & Sun, J. (2020a). Penalized estimation of semiparametric transformation models with interval-censored data and application to Alzheimers disease. Statistical Methods in Medical Research, 29(8), 2151–2166.

    Article  MathSciNet  Google Scholar 

  • Liu, H., & Qin, J. (2018). Semiparametric probit models with univariate and bivariate current-status data. Biometrics, 74(1), 68–76.

    Article  MathSciNet  MATH  Google Scholar 

  • Liu, R., Du, M., & Sun, J. (2022). Variable selection for bivariate interval-censored failure time data under linear transformation models. International Journal of Biostatistics. https://doi.org/10.1515/ijb-2021-0031.

  • Liu, T., Yuan, X., & Sun, J. (2021). Weighted rank estimation for nonparametric transformation models with doubly truncated data. Journal of the Korean Statistical Society, 1–24.

    Google Scholar 

  • Liu, Y., Hu, T., & Sun, J. (2020). Regression analysis of interval-censored failure time data with cured subgroup and mismeasured covariates. Communications in Statistics Theory and Methods, 49, 189–202.

    Article  MathSciNet  MATH  Google Scholar 

  • Ma, L., Hu, T., & Sun, J. (2016). Cox regression analysis of dependent interval-censored failure time data. Computational Statistics and Data Analysis, 103, 79–90.

    Article  MathSciNet  MATH  Google Scholar 

  • Shen, P. (2020). Nonparametric estimators of survival function under the mixed case interval-censored model with left truncation. Lifetime Data Analysis, 26, 624–637.

    Article  MathSciNet  MATH  Google Scholar 

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

    MATH  Google Scholar 

  • Sun, J., Zhou, Q., & Chen, D. G. (2018). Clinical trials: interval-censored failure time data. In S. Chow (Ed.), Encyclopedia of biopharmaceutical statistics (4th ed., pp. 589–596). London: Chapman and Hall/CRC.

    Google Scholar 

  • Sun, L., Li, S., Wang, L., & Song, X. (2019). Variable selection in semiparametric nonmixture cure model with interval-censored failure time data: An application to the prostate cancer screening study. Statistics in Medicine, 38(16), 3026–3039.

    Article  MathSciNet  Google Scholar 

  • Sun, T., & Ding Y. (2021). Copula-based semiparametric regression method for bivariate data under general interval censoring. Biostatistics, 22(2), 315–330.

    Article  MathSciNet  Google Scholar 

  • Szabo, Z., Liu, X., & Wang, L. (2020). Semiparametric sieve maximum likelihood estimation for accelerated hazards model with interval-censored data. Journal of Statistical Planning and Inference, 205, 175–192.

    Article  MathSciNet  MATH  Google Scholar 

  • Van den hout, A. (2017). Multi-state survival models for interval-censored data. Boca Raton: CRC Press.

    Google Scholar 

  • Wang, C., Sun, J., Wang, D., & Shi, N. (2017). Nonparametric estimation of interval-censored failure time data in the presence of informative censoring. Acta Mathematicae Applicatae Sinica, 33 (English Series), 107–114.

    Google Scholar 

  • Wang, L., Mcmahan, C., Hudgens, M. G., & Qureshi, Z. P. (2016a). A flexible, computationally efficient method for fitting the proportional hazards model to interval-censored data. Biometrics, 72, 222–231.

    Article  MathSciNet  MATH  Google Scholar 

  • Wang, P., Li, D., & Sun, J. (2021). A pairwise pseudo-likelihood approach for left-truncated and interval-censored data under the cox model. Biometrics, 77(4), 1303–1314.

    Article  MathSciNet  Google Scholar 

  • Wang, P., Tong, X., & Sun, J. (2018c). A semiparametric regression cure model for doubly censored data [J]. Lifetime Data Analysis, 24, 492–508.

    Article  MathSciNet  MATH  Google Scholar 

  • Wang, P., Zhao, H., Du, M., & Sun, J. (2018b). Inference on semiparametric transformation model with general interval-censored failure time data. Journal of Nonparametric Statistics, 30(3), 758–753.

    Article  MathSciNet  MATH  Google Scholar 

  • Wang, P., Zhao, H., & Sun, J. (2016b). Regression analysis of case K interval-censored failure time data in the presence of informative censoring. Biometrics, 72, 1103–1112.

    Article  MathSciNet  MATH  Google Scholar 

  • Wang, P, Zhou, Y., & Sun, J. (2020b). A new method for regression analysis of interval-censored data with the additive hazards model. Journal of the Korean Statistical Society, 49, 1131–1147.

    Article  MathSciNet  MATH  Google Scholar 

  • Wang, S., Wang, C., Wang, P., & Sun, J. (2018a). Semiparametric analysis of the additive hazards model with informatively interval-censored failure time data. Computational Statistics and Data Analysis, 125, 1–9.

    Article  MathSciNet  MATH  Google Scholar 

  • Wang, S., Wang, C., Wang, P., & Sun, J. (2020a). Estimation of the additive hazards model with case K interval-censored failure time data in the presence of informative censoring. Computational Statistics and Data Analysis, 144. Article 106891. https://doi.org/10.1016/j.csda.2019.106891.

  • Wu, Q., Zhao, H., Zhu, L., & Sun, J. (2020). Variable selection for high-dimensional partly linear additive cox model with application to Alzheimers disease. Statistics in Medicine, 39(23), 3120–3134.

    Article  MathSciNet  Google Scholar 

  • Wu, Y., Chambers, C. D., & Xu, R. (2019). Semiparametric sieve maximum likelihood estimation under curemodel with partly interval censored and left truncated data for application to spontaneous abortion. Lifetime Data Analysis, 25, 507–528.

    Article  MathSciNet  MATH  Google Scholar 

  • Wu, Y., & Cook, R. J. (2022). Assessing the accuracy of predictive models with interval-censored data. Biostatistics, 23(1), 18–23.

    Article  MathSciNet  Google Scholar 

  • Xu, D., Zhao, H., & Sun, J. (2018). Joint analysis of interval-censored failure time data and panel count data. Lifetime Data Analysis, 24(2), 94–109.

    Article  MathSciNet  MATH  Google Scholar 

  • Xu, D., Zhao, S., Hu, T. & Sun, J. (2019b). Regression analysis of informatively interval-censored failure time data with semiparametric linear transformation model. Journal of Nonparametric Statistics, 31, 663–679.

    Article  MathSciNet  MATH  Google Scholar 

  • Xu, D., Zhao, S., Hu, T., Yu, M., & Sun, J. (2019a). Regression analysis of informative current status data with the semiparametric linear transformation model. Journal of Applied Statistics, 46(2), 187–202.

    Article  MathSciNet  MATH  Google Scholar 

  • Xu, D., Zhao, S., & Sun, J. (2020). Regression analysis of dependent current status data with the accelerated failure time model. Communications in Statistics - Simulation and Computation. https://doi.org/10.1080/03610918.2020.1797795

  • Xu, Y., Zhao, S., Hu, T., & Sun, J. (2021). Variable selection for generalized odds rate mixture cure models with interval-censored failure time data. Computational Statistics and Data Analysis, 156. Article 107115. https://doi.org/10.1016/j.csda.2020.107115

  • Xu, Y., Zhao, S., Hu, T., & Sun, J. (2022). Generalized odds rate frailty models for current status data with informative censoring. Statistica Sinica (in press).

    Google Scholar 

  • Yang, D., Du, M., & Sun, J. (2021). Semiparametric regression analysis of clustered interval-censored failure time data with a cured subgroup. Statistics in Medicine, 40, 6918–6930.

    Article  MathSciNet  Google Scholar 

  • Yang, D., Sun, N., & Sun, J. (2022). Regression analysis of clustered interval-censored failure time data with cure fraction and informative cluster size. Communications in Statistics - Theory and Methods (in press).

    Google Scholar 

  • Yi, F., Tang, N., & Sun, J. (2020). Regression analysis of interval-censored failure time data with time-dependent covariates. Computational Statistics and Data Analysis, 144. https://doi.org/10.1016/j.csda.2019.106848.

  • Yi, F., Tang, N., & Sun, J. (2022). Simultaneous variable selection and estimation for joint models of longitudinal and failure time data with interval censoring. Biometrics, 78(1), 151–164.

    Article  MathSciNet  Google Scholar 

  • Ying, Z., Yu, W., Zhao, Z., & Zheng, M. (2020). Regression analysis of doubly truncated data. Journal of the American Statistical Association, 115(530), 810–821.

    Article  MathSciNet  MATH  Google Scholar 

  • Yu, M., Feng, Y., Duan, R., & Sun, J. (2022). Regression analysis of multivariate interval-censored failure time data with informative censoring. Statistical Methods in Medical Research, 31(3), 391–403.

    Article  MathSciNet  Google Scholar 

  • Zeng, D., Gao, F., & Lin, D. Y. (2017). Maximum likelihood estimation for semiparametric regression models with multivariate interval-censored data. Biometrika, 104, 505–525.

    Article  MathSciNet  MATH  Google Scholar 

  • Zeng, D., Mao, L., & Lin, D. Y. (2016). Maximum likelihood estimation for semiparametric transformation models with interval-censored data. Biometrika, 103, 253–271.

    Article  MathSciNet  MATH  Google Scholar 

  • Zhang, H., Wang, P., & Sun, J. (2018). Regression analysis of interval-censored failure time data with possibly crossing hazards. Statistics in Medicine, 37(5), 768–775.

    Article  MathSciNet  Google Scholar 

  • Zhang, J., Du, M., Liu, Y., & Sun, J. (2022). A new model-free feature screening procedure for ultrahigh-dimensional interval-censored failure time data. Statistica Sinica (in press).

    Google Scholar 

  • Zhang, Y., & Zhang, B. (2018). Semiparametric spatial model for interval-censored data with time-varying covariate effects. Computational Statistics and Data Analysis, 123, 146–156.

    Article  MathSciNet  MATH  Google Scholar 

  • Zhao, H., Cui, Q., & Sun, J. (2019). A copula model approach for the additive hazards model with dependent current status data. Science China Mathematics, 49, 1261–1272.

    MATH  Google Scholar 

  • Zhao, H., Ma, C., Li, J., & Sun, J. (2018). Regression analysis of clustered interval-censored failure time data with linear transformation models in the presence of informative cluster size. Journal of Nonparametric Statistics, 30(3), 703–715.

    Article  MathSciNet  MATH  Google Scholar 

  • Zhao, H., Wu, Q., Gilbert, P., Chen, Y. Q. & Sun, J. (2020b). A regularized estimation approach for case-cohort periodic follow-up studies with an application to HIV vaccine trials. Biometrical Journal, 62, 1176–1191.

    Article  MathSciNet  MATH  Google Scholar 

  • Zhao, H., Wu, Q., Li, G., & Sun,J. (2020a). Simultaneous estimation and variable selection for interval-censored data with broken adaptive ridge regression. Journal of the American Statistical Association, 115, 204–216.

    Article  MathSciNet  MATH  Google Scholar 

  • Zhou, J, Zhang, J., & Lu, W. (2018a). Computationally efficient estimation for the generalized odds rate mixture cure model with interval censored data. Journal of Computational and Graphical Statistics, 27, 48–58.

    Article  MathSciNet  MATH  Google Scholar 

  • Zhou, Q., Cai, J., & Zhou, H. (2018b). Outcome-dependent sampling with interval-censored failure time data. Biometrics, 74(1), 58–67.

    Article  MathSciNet  MATH  Google Scholar 

  • Zhou, Q., Cai, J., & Zhou, H. (2020). Semiparametric inference for a two-stage outcome-dependent sampling design with interval-censored failure time data. Lifetime Data Analysis, 26, 85–108.

    Article  MathSciNet  MATH  Google Scholar 

  • Zhou, Q., Hu, T., & Sun, J. (2017a). A sieve semiparametric maximum likelihood approach for regression analysis of bivariate interval-censored failure time data. Journal of the American Statistical Association, 112, 664–672.

    Article  MathSciNet  Google Scholar 

  • Zhou, Q., Zhou, H., & Cai, J. (2017b). Case-cohort studies with interval-censored failure time data. Biometrika, 104, 17–29.

    Article  MathSciNet  MATH  Google Scholar 

  • Zhou, R., Li, H., Sun, J., & Tang, N. (2022). A new approach to estimation of the proportional hazards model based on interval-censored data with missing covariates. Lifetime Data Analysis (in press).

    Google Scholar 

  • Zhu, Y., Chen, Z., & Lawless, J. F. (2022). Semiparametric analysis of interval-censored failure time data with outcome-dependent observation schemes. Scandinavian Journal of Statistics, 49(1), 236–264.

    Article  MathSciNet  Google Scholar 

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Du, M. (2022). Overview of Recent Advances on the Analysis of Interval-Censored Failure Time Data. In: Sun, J., Chen, DG. (eds) Emerging Topics in Modeling Interval-Censored Survival Data. ICSA Book Series in Statistics. Springer, Cham. https://doi.org/10.1007/978-3-031-12366-5_2

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