IDEAS home Printed from https://ideas.repec.org/a/plo/pone00/0280183.html
   My bibliography  Save this article

Inference on the stress strength reliability with exponentiated generalized Marshall Olkin-G distribution

Author

Listed:
  • Neama Salah Youssef Temraz

Abstract

In this paper, an inference on stress-strength reliability model is introduced in case of the exponentiated generalized Marshall Olkin G family of distributions. The maximum likelihood estimator of the stress-strength reliability function is deduced. An asymptotic confidence and bootstrap confidence intervals for the stress-strength reliability function are derived. A Bayesian inference is introduced for the stress-strength reliability. A simulation is introduced to obtain the maximum likelihood and Bayesian estimates for the stress strength reliability. Real data applications are provided to show the results for the stress-strength model and compare the exponentiated generalized Marshall Olkin-G distribution with other distributions.

Suggested Citation

  • Neama Salah Youssef Temraz, 2023. "Inference on the stress strength reliability with exponentiated generalized Marshall Olkin-G distribution," PLOS ONE, Public Library of Science, vol. 18(8), pages 1-26, August.
    • Handle: RePEc:plo:pone00:0280183
    DOI: 10.1371/journal.pone.0280183
    as

    Download full text from publisher

    File URL: https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0280183
    Download Restriction: no
    File URL: https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0280183&type=printable
    Download Restriction: no
    File URL: https://libkey.io/10.1371/journal.pone.0280183?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. Laba Handique & Subrata Chakraborty & Thiago A. N. Andrade, 2019. "The Exponentiated Generalized Marshall–Olkin Family of Distribution: Its Properties and Applications," Annals of Data Science, Springer, vol. 6(3), pages 391-411, September.
    2. Cícero R. B. Dias & Gauss M. Cordeiro & Morad Alizadeh & Pedro Rafael Diniz Marinho & Hemílio Fernandes Campos Coêlho, 2016. "Exponentiated Marshall-Olkin family of distributions," Journal of Statistical Distributions and Applications, Springer, vol. 3(1), pages 1-21, December.
    3. Raj Kamal Maurya & Yogesh Mani Tripathi & Tanmay Kayal, 2022. "Reliability Estimation in a Multicomponent Stress-Strength Model Based on Inverse Weibull Distribution," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 84(1), pages 364-401, May.
    4. Abdullah M Almarashi & Ali Algarni & Mazen Nassar, 2020. "On estimation procedures of stress-strength reliability for Weibull distribution with application," PLOS ONE, Public Library of Science, vol. 15(8), pages 1-23, August.
    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. Safar M. Alghamdi & Rashad A. R. Bantan & Amal S. Hassan & Heba F. Nagy & Ibrahim Elbatal & Mohammed Elgarhy, 2022. "Improved EDF-Based Tests for Weibull Distribution Using Ranked Set Sampling," Mathematics, MDPI, vol. 10(24), pages 1-24, December.
    2. Herbell, Kayla & Albright, Nathaniel & Berger, Sophie & Stanek, Charis & Helsabeck, Nathan P., 2025. "Identifying family engagement priorities in youth residential treatment settings: A group concept mapping study," Children and Youth Services Review, Elsevier, vol. 168(C).
    3. Amal S. Hassan & E. A. Elsherpieny & Rokaya E. Mohamed, 2025. "Bayesian Estimation of Stress Strength Modeling Using MCMC Method Based on Outliers," Annals of Data Science, Springer, vol. 12(1), pages 23-62, February.
    4. Ayman Alzaatreh & Mohammad A. Aljarrah & Michael Smithson & Saman Hanif Shahbaz & Muhammad Qaiser Shahbaz & Felix Famoye & Carl Lee, 2021. "Truncated Family of Distributions with Applications to Time and Cost to Start a Business," Methodology and Computing in Applied Probability, Springer, vol. 23(1), pages 5-27, March.
    5. Isidro Jesús González-Hernández & Rafael Granillo-Macías & Carlos Rondero-Guerrero & Isaías Simón-Marmolejo, 2021. "Marshall-Olkin distributions: a bibliometric study," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(11), pages 9005-9029, November.
    6. Sanku Dey & Emrah Altun & Devendra Kumar & Indranil Ghosh, 2023. "The Reflected-Shifted-Truncated Lomax Distribution: Associated Inference with Applications," Annals of Data Science, Springer, vol. 10(3), pages 805-828, 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:plo:pone00:0280183. 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: plosone (email available below). General contact details of provider: https://journals.plos.org/plosone/ .

    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.