IDEAS home Printed from https://ideas.repec.org/a/sae/risrel/v228y2014i6p578-589.html
   My bibliography  Save this article

Two modified estimators of reliability function with exponential failure model based on prior information and time-censored data

Author

Listed:
  • ZA Al-Hemyari
  • JA Al-Dolami

Abstract

In this article, we have assumed that the observations are carried out for a period of time T , and when a unit failed, it was replaced with a new identical unit. We have considered the exponential distribution of failure, and we have proposed two estimators of reliability function ( R ( t ) ) by using time-censored data when a prior value (uncertain prior information) about the unknown parameter ( θ ) was previously available. The expressions for the bias, risk and relative efficiency were obtained. The investigation concerning the improvement of the proposed estimators of R ( t ) on the bases of the criterion of bias ratio, risk and relative efficiency under different cases showed that the proposed estimators were better than the classical estimators. The conclusions, concluding remarks and limitations were then reported.

Suggested Citation

  • ZA Al-Hemyari & JA Al-Dolami, 2014. "Two modified estimators of reliability function with exponential failure model based on prior information and time-censored data," Journal of Risk and Reliability, , vol. 228(6), pages 578-589, December.
    • Handle: RePEc:sae:risrel:v:228:y:2014:i:6:p:578-589
    DOI: 10.1177/1748006X14540634
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1177/1748006X14540634
    Download Restriction: no
    File URL: https://libkey.io/10.1177/1748006X14540634?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. Katuomi Hirano, 1977. "Corrections to “Estimation procedures based on preliminary test, shrinkage technique and information criterion”," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 29(1), pages 317-317, December.
    2. Z.A. Al-Hemyari & I.H. Hussain, 2012. "Improved shrinkage testimators for the simple linear regression model," International Journal of Information and Decision Sciences, Inderscience Enterprises Ltd, vol. 4(1), pages 87-103.
    3. Katuomi Hirano, 1977. "Estimation procedures based on preliminary test, shrinkage technique and information criterion," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 29(1), pages 21-34, December.
    4. Z.A. Al-Hemyari & I.H. Hussain & A.N. Al-Jobori, 2011. "A class of efficient and modified testimators for the mean of normal distribution using complete data," International Journal of Data Analysis Techniques and Strategies, Inderscience Enterprises Ltd, vol. 3(4), pages 406-425.
    5. Z.A. Al-Hemyari & Jabar A. Al-Dolami, 2012. "Optimised Shrinkage Testimator of reliability function in a failure-time model," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 4(6), pages 607-621.
    Full references (including those not matched with items on IDEAS)

    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. Chiou, Paul & Miao, Weiwen, 2005. "Shrinkage estimation for the difference between exponential guarantee time parameters," Computational Statistics & Data Analysis, Elsevier, vol. 48(3), pages 489-507, March.
    2. D. Hawkins & Chien-Pai Han, 1989. "A minimum average risk approach to shrinkage estimators of the normal mean," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 41(2), pages 347-363, June.

    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:sae:risrel:v:228:y:2014:i:6:p:578-589. 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: SAGE Publications (email available below). General contact details of provider: .

    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.