IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/9957944.html
   My bibliography  Save this article

Estimation of Constant Stress Partially Accelerated Life Test for Fréchet Distribution with Type-I Censoring

Author

Listed:
  • Abdullah Ali H. Ahmadini
  • Wali Khan Mashwani
  • Rehman Ahmad Khan Sherwani
  • Shokrya S. Alshqaq
  • Farrukh Jamal
  • Miftahuddin Miftahuddin
  • Kamran Abbas
  • Faiza Razaq
  • Mohammed Elgarhy
  • Sanaa Al-Marzouki

Abstract

Modern reliability engineering accelerated life tests (ALT) and partially accelerated life tests (PALT) are widely used to obtain the timely information on the reliability of objects, products, elements, and materials as well as to save time and cost. The ALTs or PALTs are useful in determining the failed manners of the items at routine conditions by using the information of the data generated from the experiment. PALT is the most sensible method to be used for estimating both ordinary and ALTs. In this research, constant stress PALT design for the Fréchet distribution with type-I censoring has been investigated due to a wide applicability of the Fréchet distribution in engineering problems especially in hydrology. The distribution parameters and acceleration factor are obtained by using the maximum likelihood method. Fisher's information matrix is used to develop the asymptotic confidence interval estimates of the model parameters. A simulation study is conducted to illustrate the statistical properties of the parameters and the confidence intervals by using the R software. The results indicated that the constant stress PALT plan works well. Moreover, a numerical example is given to exemplify the performance of the proposed methods.

Suggested Citation

  • Abdullah Ali H. Ahmadini & Wali Khan Mashwani & Rehman Ahmad Khan Sherwani & Shokrya S. Alshqaq & Farrukh Jamal & Miftahuddin Miftahuddin & Kamran Abbas & Faiza Razaq & Mohammed Elgarhy & Sanaa Al-Mar, 2021. "Estimation of Constant Stress Partially Accelerated Life Test for Fréchet Distribution with Type-I Censoring," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-8, May.
    • Handle: RePEc:hin:jnlmpe:9957944
    DOI: 10.1155/2021/9957944
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2021/9957944.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2021/9957944.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2021/9957944?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. Mazen Nassar & Ahmed Elshahhat, 2023. "Statistical Analysis of Inverse Weibull Constant-Stress Partially Accelerated Life Tests with Adaptive Progressively Type I Censored Data," Mathematics, MDPI, vol. 11(2), pages 1-29, January.
    2. Zhang, Chunfang & Wang, Liang & Bai, Xuchao & Huang, Jianan, 2022. "Bayesian reliability analysis for copula based step-stress partially accelerated dependent competing risks model," Reliability Engineering and System Safety, Elsevier, vol. 227(C).

    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:hin:jnlmpe:9957944. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.