138
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Nonparametric analysis of recurrent gap time data

&
Pages 3298-3312 | Received 04 Apr 2018, Accepted 24 Feb 2019, Published online: 14 Apr 2019

References

  • Cook, R. J., and J. Lawless. 2007. The statistical analysis of recurrent events. New York, NY: Springer.
  • de Uña-Álvarez, J., and L. F. Meira-Machado. 2008. A simple estimator of the bivariate distribution function for censored gap times. Statistics and Probability Letters 78 (15):2440–5. doi:10.1016/j.spl.2008.02.031.
  • Flemming, T. R., and D. P. Harrington. 1991. Counting processes and survival analysis. New York, NY: Wiley.
  • Fu, T.-C., D.-H. Su, and S.-H. Chang. 2016. Serial association analyses of recurrent gap time data via Kendall’s tau. Biostatistics 17:188–202.
  • Kaplan, E. L., and P. Meier. 1958. Nonparametric estimation from incomplete observations. Journal of the American Statistical Association 53 (282):457–81. doi:10.1080/01621459.1958.10501452.
  • Kendall, M., and J. D. Gibbons. 1990. Rank correlation methods. 5th ed. London, UK: Edward Arnold.
  • Lakhal-Chaieb, L., R. J. Cook, and X. Lin. 2010. Inverse probability of censoring weighted estimated of Kendall’s tau for gap time analyses. Biometrics 66 (4):1145–52. doi:10.1111/j.1541-0420.2010.01404.x.
  • Lakhal-Chaieb, L., L. P. Rivest, and D. Beaudoin. 2009. IPCW estimator for Kendall’s tau under bivariate censoring. The International Journal of Biostatistics 5:1–20.
  • Lee, C. H., X. Luo, C.-Y. Huang, T. E. DeFor, C. G. Brunstein, and D. J. Weisdorf. 2016. Nonparametric methods for analyzing recurrent gap time data with application to infections after hematopoietic cell transplant. Biometrics 72 (2):535–45. doi:10.1111/biom.12439.
  • Lin, D. Y., W. Sun, and Z. Ying. 1999. Nonparametric estimation of the gap time distribution for serial events with censored data. Biometrika 86 (1):59–70. doi:10.1093/biomet/86.1.59.
  • Luo, X., and C.-Y. Huang. 2011. Analysis of recurrent gap time data using the weighted risk-set method and modified within-cluster resampling method. Statistics in Medicine 30 (4):301–11. doi:10.1002/sim.4074.
  • Moreira, A., and L. Meira-Machado. 2012. survivalBIV: Estimation of the bivariate distribution function for sequentially ordered events under univariate censoring. Journal of Statistical Software 46:1–16.
  • Oakes, D. 2008. On consistency of Kendall’s tau under censoring. Biometrika 95 (4):997–1001. doi:10.1093/biomet/asn037.
  • Peña, E. A., R. L. Strawderman, and M. Hollander. 2001. Nonparametric estimation with recurrent event data. Journal of the American Statistical Association 96 (456):1299–315. doi:10.1198/016214501753381922.
  • Pollard, D. 1990. Empirical processes: Theory and applications. Hayward, CA: Inst. Math. Statist.
  • Schaubel, D. E., and J. Cai. 2004. Non-parametric estimation of gap time survival functions for ordered multivariate failure time data. Statistics in Medicine 23 (12):1885–900. doi:10.1002/sim.1777.
  • Shen, P.-S. 2017. The IPW estimator for the joint distribution function of the gap times from recurrent event data. Communications in Statistics-Simulation and Computation. doi:10.1080/03610918.2017.1402043.
  • Wang, M.-C., and S.-H. Chang. 1999. Nonparametric estimation of a recurrent survival function. Journal of the American Statistical Association 94 (445):146–53. doi:10.1080/01621459.1999.10473831.
  • Wang, W. J., and M. T. Wells. 1998. Nonparametric estimation of successive duration times under dependent censoring. Biometrika 85 (3):561–72. doi:10.1093/biomet/85.3.561.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.