Skip to main content
SpringerLink
Log in

Simultaneous confidence regions for the parameters of damage processes

  • Articles
  • Published:
Statistical Papers Aims and scope Submit manuscript

Abstract

In connection with the investigation of the reliability of products it is often necessary to consider the development of damage processes of such products to calculate parameters of reliability. The parameters of the damage process can be estimated by observations at discrete time points. If the limit level of damage is known the parameters of life distributions can be calculated by the estimated values of these parameters.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Barndorff-Nielsen OE, Blæsild P (1986) A note on the calculation of Bartlett adjustments, J. Roy. Statist. Soc. Ser. B48, 353–358

    MATH  MathSciNet  Google Scholar 

  • Cordeiro GM (1987) On the Corrections to the Likelihood Ratio Statistics, Biometrika74, 265–274

    Article  MATH  MathSciNet  Google Scholar 

  • Cox DR, Reid N (1987) Parameter orthogonality and approximate conditional inference, J. Roy. Statist. Soc. Ser. B49, 1–39

    MATH  MathSciNet  Google Scholar 

  • Ibragimov IA, Has'minski RZ (1987) Statistical Estimation. Asymptotic Theory, Springer-Verlag

  • Kahle W, Tiedge J (1987) Konfidenzbereiche für die Parameter des Wienerprozesses und einige Kenngrößen der Zuverlässigkeit, Wiss. Zeitschr. d. TU Magdeburg31, 5, 30–35

    MATH  MathSciNet  Google Scholar 

  • Pieper V, Tiedge J (1983) Zuverlässigkeitsmodelle auf der Grundlage stochastischer Modelle von Verschleißprozessen, Mathematische Operationsforschung u. Statistik14, 3, 485–502

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Fakultät für Mathematik Institut für Mathematische Stochastik, Otto-von-Guericke-Universität Magdeburg, Universitätsplatz 2, 39106, Magdeburg

    W. Kahle

Authors
  1. W. Kahle
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kahle, W. Simultaneous confidence regions for the parameters of damage processes. Statistical Papers 35, 27–41 (1994). https://doi.org/10.1007/BF02926397

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02926397

Keywords

Search

Navigation