Skip to main content
Log in

Generalizations of current status data with applications

  • Published:
Lifetime Data Analysis Aims and scope Submit manuscript

Abstract

In estimation of a survival function, current status data arises when the only information available on individuals is their survival status at a single monitoring time. Here, we briefly review extensions of this form of data structure in two directions: (i) doubly censored current status data, where there is incomplete information on the origin of the failure time random variable, and (ii) current status information on more complicated stochastic processes. Simple examples of these data forms are presented for motivation.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • M. Ayer, H. D. Brunk, G. M. Ewing, W. T. Reid, and E. Silverman, “An empirical distribution function for sampling with incomplete information,”Annals of Statistics, vol. 26 pp. 641–647, 1955.

    Google Scholar 

  • R. E. Barlow, D. J. Bartholomew, J. M. Bremner, and H. D. Brunk,Statistical Inference Under Order Restrictions, Wiley: New York, NY, 1972.

    Google Scholar 

  • P. J. Bickel, A. J. Klaassen, Y. Ritov, and J. A. Wellner,Efficient and Adaptive Inference in Semi-Parametric Models, Johns Hopkins University Press: Baltimore, MD, 1993.

    Google Scholar 

  • V. DeGruttola and S. W. Lagakos, “Analysis of doubly-censored survival data, with application to AIDS,”Biometrics, vol. 45 pp. 1–11, 1989.

    Google Scholar 

  • I. D. Diamond and J. W. McDonald, “The analysis of current status data,” inDemographic Applications of Event History Analysis, J. Trussell, R. Hankinson, and J. Tilton (eds.). Oxford University Press: Oxford, UK, 1991.

    Google Scholar 

  • I. D. Diamond, J. W. McDonald, and I. H. Shah, “Proportional hazards models for current status data: Application to the study of differentials in age at weaning in Pakistan,”Demography, vol. 23 pp. 607–620, 1986.

    Google Scholar 

  • G. E. Dinse and S. W. Lagakos, “Nonparametric estimation of lifetime and disease onset distributions from incomplete observations,”Biometrics, vol. 38 pp. 921–932, 1982.

    Google Scholar 

  • P. Groeneboom and J. A. Wellper,Nonparametric Maximum Likelihood Estimators for Interval Censoring and Deconvolution, Birkhaüser: Boston, MA, 1992.

    Google Scholar 

  • J. Huang,Estimation in Regression Models with Interval Censoring, Ph.D. Thesis, University of Washington, 1994.

  • N. P. Jewell and S. C. Shiboski, “Statistical analysis of HIV infectivity based on partner studies,”Biometrics, vol. 46 pp. 1133–1150, 1990.

    Google Scholar 

  • N. P. Jewell and S. C. Shiboski, “The design and analysis of partner studies of HIV transmission,” inMethodological Issues in AIDS Behavioral Research, D. G. Ostrow and R. Kessler (eds.), Plenum Publishing Company: New York, NY, 1993.

    Google Scholar 

  • N. Keiding, “Age-specific Incidence and Prevalence (with discussion),”Journal of the Royal Statistical Society, Series A, vol. 154 pp. 371–412, 1991.

    Google Scholar 

  • R. W. Klein and R. H. Spadey, “An Efficient Semiparametric Estimator for Binary Response Models,”Econometrica, vol. 61 pp. 387–421, 1993.

    Google Scholar 

  • M. van der Laan, P. Bickel, and N. P. Jewell, “Singly and doubly censored current status data: Estimation, asymptotics and regression,” submitted.

  • D. Rabinowitz and N. P. Jewell, “Regression with doubly censored current status data,”Journal of the Royal Statistical Society, Series B, to appear.

  • D. Rabinowitz, A. Tsiatis, and J. Aragon, “Regression with interval censored data,”Biometrika, to appear.

  • S. C. Shiboski and N. P. Jewell, “Statistical analysis of the time dependence of HIV infectivity based on partner study data,”Journal of the American Statistical Association, vol. 87 pp. 360–372, 1992.

    Google Scholar 

  • E. Vittinghoff, H. M. Malani, and N. P. Jewell, “Estimating Patterns of CD4 Lymphocyte Decline Using Data from a Prevalent Cohort of HIV Infected Individuals,”Statistics in Medicine, vol. 13 pp. 1101–1118, 1994.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jewell, N.P., van der Laan, M. Generalizations of current status data with applications. Lifetime Data Anal 1, 101–109 (1995). https://doi.org/10.1007/BF00985261

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00985261

Keywords

Navigation