Skip to main content
Log in

Bootstrapping the change-point of a hazard rate

  • Bootstrapping
  • Published:
Annals of the Institute of Statistical Mathematics Aims and scope Submit manuscript

Abstract

This paper concerns the asymptotic validity of the bootstrap method in a non-regular model. Specifically, it is shown that the parametric bootstrap of the change-point parameter in the change-point hazard rate model works.

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

  • Antoniadis, A. and Grégoire, G. (1991). Nonparametric estimation in change-point hazard rate model for censored data: a counting process approach, Tech. Report No. RR 66, Lab. Modélisation et Calcul. IMAG, University of Grenoble.

  • Athreya, K. B. (1987). Bootstrap of the mean in the infinite variance case,Ann. Statist.,15, 724–731.

    Google Scholar 

  • Bickel, P. J. and Freedman, D. A. (1981). Some asymptotic theory for the bootstrap,Ann. Statist.,9, 1196–1217.

    Google Scholar 

  • Chernorff, H. and Rubin, H. (1956). The estimation of the location of a discontinuity in density,Proc. third Berkeley Symp. on Math. Statist. Prob., Vol. 1, 19–37, Univ. of California Press, Berkeley.

    Google Scholar 

  • Hall, P. (1988). Theoretical comparison of bootstrap confidence intervals,Ann. Statist.,16, 927–953.

    Google Scholar 

  • Hall, P., Härdle, W. and Simar, L. (1991). On the inconsistency of bootstrap distribution estimators, Tech. Report No. RR 856 M, Lab. Modélisation et Calcul. IMAG, University of Grenoble.

  • Matthews, D. E. and Farewell, V. T. (1982). On testing for a constant hazard against a change-point alternative,Biometrics,38, 463–468.

    Google Scholar 

  • Matthews, D. E., Farewell, V. T. and Pyke, R. (1985). Asymptotic score-statistic processes and tests for constant hazard against a change-point alternative,Ann. Statist.,13, 583–591.

    Google Scholar 

  • Miller, R. G. (1960). Early failure in life testing,J. Amer. Statist. Assoc.,55, 491–502.

    Google Scholar 

  • Nguyen, H. T., Rogers, G. S. and Walker, E. A. (1984). Estimation in change-point hazard rate models,Biometrika,71, 299–304.

    Google Scholar 

  • Pham, D. T. and Nguyen, H. T. (1990). Strong consistency of the maximum likelihood estimator in the change-point hazard rate model,Statistics,21, 203–216.

    Google Scholar 

  • Yao, Y. C. (1986). Maximum likelihood estimation in hazard rate model with a change-point,Comm. Statist. Theory Methods,15, 2455–2466.

    Google Scholar 

  • Yao, Y. C. (1987). A note on testing for constant hazard against a change-point alternative,Ann. Inst. Statist. Math.,39, 377–383.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

About this article

Cite this article

Pham, T.D., Nguyen, H.T. Bootstrapping the change-point of a hazard rate. Ann Inst Stat Math 45, 331–340 (1993). https://doi.org/10.1007/BF00775818

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00775818

Key words and phrases

Navigation