IDEAS home Printed from https://ideas.repec.org/a/gam/jstats/v8y2025i4p104-d1785743.html
   My bibliography  Save this article

Computational Testing Procedure for the Overall Lifetime Performance Index of Multi-Component Exponentially Distributed Products

Author

Listed:
  • Shu-Fei Wu

    (Department of Statistics and Data Science, Tamkang University, New Taipei City 251301, Taiwan)

  • Chia-Chi Hsu

    (Department of Statistics and Data Science, Tamkang University, New Taipei City 251301, Taiwan)

Abstract

In addition to products with a single component, this study examines products composed of multiple components whose lifetimes follow a one-parameter exponential distribution. An overall lifetime performance index is developed to assess products under the progressive type I interval censoring scheme. This study establishes the relationship between the overall and individual lifetime performance indices and derives the corresponding maximum likelihood estimators along with their asymptotic distributions. Based on the asymptotic distributions, the lower confidence bounds for all indices are also established. Furthermore, a hypothesis testing procedure is formulated to evaluate whether the overall lifetime performance index achieves the specified target level, utilizing the maximum likelihood estimator as the test statistic under a progressive type I interval censored sample. Moreover, a power analysis is carried out, and two numerical examples are presented to demonstrate the practical implementation for the overall lifetime performance index. This research can be applied to the fields of life testing and reliability analysis.

Suggested Citation

  • Shu-Fei Wu & Chia-Chi Hsu, 2025. "Computational Testing Procedure for the Overall Lifetime Performance Index of Multi-Component Exponentially Distributed Products," Stats, MDPI, vol. 8(4), pages 1-21, November.
    • Handle: RePEc:gam:jstats:v:8:y:2025:i:4:p:104-:d:1785743
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2571-905X/8/4/104/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2571-905X/8/4/104/
    Download Restriction: no
    ---><---

    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:gam:jstats:v:8:y:2025:i:4:p:104-:d:1785743. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.