IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v38y1991i1p1-22.html
   My bibliography  Save this article

Accelerated life test plans under intermittent inspection and type‐I censoring: The case of weibull failure distribution

Author

Listed:
  • Sun‐Keun Seo
  • Bong‐Jin Yum

Abstract

For the case where the lifetime at a stress level has a Weibull distribution, statistically optimal and practical accelerated life test plans are developed under the assumptions of intermittent inspection and Type‐I censoring. For a statistically optimal plan the low stress level, the proportion of test units allocated, and the inspection times are determined such that the asymptotic variance of the maximum‐likelihood estimator of a certain quantile at the use condition is minimized. Although the practical plan adopts the same design criterion, it involves three rather than two overstress levels and easily calculated inspection schemes. Despite some loss in efficiency the practical plan has several advantages over the statistically optimal one. For instance, the practical plan can provide means for checking the validity of the assumptions made, may reduce the danger of extrapolation, and is more convenient to determine and implement. Computational experiments are conducted to evaluate the relative efficiency of a practical plan to the corresponding statistically optimal plan. Guidelines for selecting an appropriate practical plan are also described with an example.

Suggested Citation

  • Sun‐Keun Seo & Bong‐Jin Yum, 1991. "Accelerated life test plans under intermittent inspection and type‐I censoring: The case of weibull failure distribution," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(1), pages 1-22, February.
    • Handle: RePEc:wly:navres:v:38:y:1991:i:1:p:1-22
    DOI: 10.1002/1520-6750(199102)38:13.0.CO;2-3
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/1520-6750(199102)38:13.0.CO;2-3
    Download Restriction: no
    File URL: https://libkey.io/10.1002/1520-6750(199102)38:13.0.CO;2-3?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
    ---><---

    References listed on IDEAS

    as
    1. Bong‐Jin Yum & Seung‐Cheol Choi, 1989. "Optimal design of accelerated life tests under periodic inspection," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(6), pages 779-795, December.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Nadja Malevich & Christine H. Müller, 2019. "Optimal design of inspection times for interval censoring," Statistical Papers, Springer, vol. 60(2), pages 449-464, April.
    2. Sang-Jun Park & Bong-Jin Yum, 1998. "Optimal design of accelerated life tests under modified stress loading methods," Journal of Applied Statistics, Taylor & Francis Journals, vol. 25(1), pages 41-62.
    3. Do Sun Bai & Myung Soo Kim, 1993. "Optimum simple step‐stress accelerated life tests for weibull distribution and type I censoring," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(2), pages 193-210, March.
    4. Jung‐Won Park & Bong‐Jin Yum, 1996. "Optimal design of accelerated life tests with two stresses," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(6), pages 863-884, September.
    5. Nesar Ahmad & A. Islam, 1996. "Optimal accelerated life test designs for Burr type XII distributions under periodic inspection and type I censoring," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(8), pages 1049-1077, December.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Nesar Ahmad & A. Islam, 1996. "Optimal accelerated life test designs for Burr type XII distributions under periodic inspection and type I censoring," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(8), pages 1049-1077, December.
    2. Sang-Jun Park & Bong-Jin Yum, 1998. "Optimal design of accelerated life tests under modified stress loading methods," Journal of Applied Statistics, Taylor & Francis Journals, vol. 25(1), pages 41-62.
    3. Nadja Malevich & Christine H. Müller, 2019. "Optimal design of inspection times for interval censoring," Statistical Papers, Springer, vol. 60(2), pages 449-464, April.
    4. Jung‐Won Park & Bong‐Jin Yum, 1996. "Optimal design of accelerated life tests with two stresses," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(6), pages 863-884, September.

    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:wly:navres:v:38:y:1991:i:1:p:1-22. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)1520-6750 .

    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.