IDEAS home Printed from https://ideas.repec.org/a/eee/reensy/v274y2026ics0951832026002103.html

Inactivity times of components upon system failure with application to missing data problems

Author

Listed:
  • Davies, Katherine
  • DembiÅ„ska, Anna

Abstract

We introduce a concept of inactivity times of components upon system failure, i.e., times that elapsed until the breakdown of the system from moments of failures of its non-surviving components. These times are related to autopsy data and are useful, for instance, for predicting exact instants of component failures. Under the assumption that the joint distribution of component lifetimes is exchangeable and absolutely continuous, we obtain a formula for the joint survival function of the inactivity times of interest. We express this formula in terms of the copula modelling the dependence structure among components. To analyze how the dependence among the components and other factors affect the studied inactivity times, we demonstrate numerical results for some special cases with specific copulas and margins. Finally, we give an example of an application of the presented results to the estimation of missing data.

Suggested Citation

  • Davies, Katherine & DembiÅ„ska, Anna, 2026. "Inactivity times of components upon system failure with application to missing data problems," Reliability Engineering and System Safety, Elsevier, vol. 274(C).
    • Handle: RePEc:eee:reensy:v:274:y:2026:i:c:s0951832026002103
    DOI: 10.1016/j.ress.2026.112394
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0951832026002103
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ress.2026.112394?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:reensy:v:274:y:2026:i:c:s0951832026002103. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/reliability-engineering-and-system-safety .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.