IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v24y1976i3p491-499.html
   My bibliography  Save this article

Incorporating Component and System Test Data into the Same Assessment: A Bayesian Approach

Author

Listed:
  • David V. Mastran

    (Maximus, Inc., Great Falls, Virginia)

Abstract

On occasion, reliability analysts have test data gathered both at the component level of a multicomponent system and at the system level. When the system test data provide no information on component performance, classical statistical techniques in all but trivial cases do not allow using both sets of data. We present a Bayesian procedure that does allow using both sets. The procedure for attribute data makes use of a lemma that relates the moments of the prior and posterior distributions of reliability to the test data. The procedure for variables data assumes the time to failure distribution of each component is exponential.

Suggested Citation

  • David V. Mastran, 1976. "Incorporating Component and System Test Data into the Same Assessment: A Bayesian Approach," Operations Research, INFORMS, vol. 24(3), pages 491-499, June.
    • Handle: RePEc:inm:oropre:v:24:y:1976:i:3:p:491-499
    DOI: 10.1287/opre.24.3.491
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.24.3.491
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.24.3.491?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
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Jørgen Vitting Andersen & Roy Cerqueti & Jessica Riccioni, 2023. "Rational expectations as a tool for predicting failure of weighted k-out-of-n reliability systems," Post-Print hal-03634370, HAL.
    2. Anderson-Cook, Christine M. & Crowder, Stephen & Huzurbazar, Aparna V. & Lorio, John & Ringland, James & Wilson, Alyson G., 2011. "Quantifying reliability uncertainty from catastrophic and margin defects: A proof of concept," Reliability Engineering and System Safety, Elsevier, vol. 96(9), pages 1063-1075.
    3. Jackson, Chris & Mosleh, Ali, 2012. "Bayesian inference with overlapping data for systems with continuous life metrics," Reliability Engineering and System Safety, Elsevier, vol. 106(C), pages 217-231.
    4. Jackson, Chris & Mosleh, Ali, 2016. "Bayesian inference with overlapping data: Reliability estimation of multi-state on-demand continuous life metric systems with uncertain evidence," Reliability Engineering and System Safety, Elsevier, vol. 145(C), pages 124-135.
    5. C Jackson & A Mosleh, 2012. "Downwards inference: Bayesian analysis of overlapping higher-level data sets of complex binary-state on-demand systems," Journal of Risk and Reliability, , vol. 226(2), pages 182-193, April.
    6. C Jacksonn & A Mosleh, 2012. "Bayesian inference with overlapping data: methodology for reliability estimation of multi-state on-demand systems," Journal of Risk and Reliability, , vol. 226(3), pages 283-294, June.
    7. Jorgen-Vitting Andersen & Roy Cerqueti & Jessica Riccioni, 2023. "Rational expectations as a tool for predicting failure of weighted k-out-of-n reliability systems," Annals of Operations Research, Springer, vol. 326(1), pages 295-316, July.
    8. Jørgen Vitting Andersen & Roy Cerqueti & Jessica Riccioni, 2023. "Rational expectations as a tool for predicting failure of weighted k-out-of-n reliability systems," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-03634370, HAL.
    9. Roger Zoh & Alyson Wilson & Scott Vander Wiel & Earl Lawrence, 2018. "The negative log-gamma prior distribution for Bayesian assessment of system reliability," Journal of Risk and Reliability, , vol. 232(3), pages 308-319, June.

    More about this item

    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:inm:oropre:v:24:y:1976:i:3:p:491-499. 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: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    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.