IDEAS home Printed from https://ideas.repec.org/a/spr/qualqt/v59y2025i4d10.1007_s11135-025-02097-8.html
   My bibliography  Save this article

Bayesian and non-bayesian analysis of R = Pr (W

Author

Listed:
  • Amal S. Hassan

    (Cairo University)

  • Yostina S. Morgan

    (Cairo University)

Abstract

Many real-world systems encounter extremes in operation, which frequently result in malfunctions. Recently, there has been a lot of focus on the phenomena of systems failing to carry out their intended functions when they reach their lowest, highest, or both extreme operating conditions. This phenomenon is modeled by multi-stress-strength reliability $$R = \Pr \left( {W

Suggested Citation

  • Amal S. Hassan & Yostina S. Morgan, 2025. "Bayesian and non-bayesian analysis of R = Pr (W," Quality & Quantity: International Journal of Methodology, Springer, vol. 59(4), pages 3271-3303, August.
  • Handle: RePEc:spr:qualqt:v:59:y:2025:i:4:d:10.1007_s11135-025-02097-8
    DOI: 10.1007/s11135-025-02097-8
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11135-025-02097-8
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s11135-025-02097-8?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
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Bagci, Kubra & Arslan, Talha & Celik, H. Eray, 2021. "Inverted Kumarswamy distribution for modeling the wind speed data: Lake Van, Turkey," Renewable and Sustainable Energy Reviews, Elsevier, vol. 135(C).
    2. Ulhas J. Dixit & Parviz F. Nasiri, 2001. "Estimation of parameters of the exponential distribution in the presence of outliers generated from uniform distribution," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3-4), pages 187-198.
    3. Satish Chandra & Donald B. Owen, 1975. "On estimating the reliability of a component subject to several different stresses (strengths)," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 22(1), pages 31-39, March.
    4. Heba F. Nagy & Amer Ibrahim Al-Omari & Amal S. Hassan & Ghadah A. Alomani, 2022. "Improved Estimation of the Inverted Kumaraswamy Distribution Parameters Based on Ranked Set Sampling with an Application to Real Data," Mathematics, MDPI, vol. 10(21), pages 1-19, November.
    5. David Hinkley, 1977. "On Quick Choice of Power Transformation," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 26(1), pages 67-69, March.
    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. Ramadan A. ZeinEldin & Christophe Chesneau & Farrukh Jamal & Mohammed Elgarhy, 2019. "Statistical Properties and Different Methods of Estimation for Type I Half Logistic Inverted Kumaraswamy Distribution," Mathematics, MDPI, vol. 7(10), pages 1-24, October.
    2. Ammara Tanveer & Muhammad Azam & Muhammad Aslam & Muhammad Shujaat Navaz, 2020. "Attribute np control charts using resampling systems for monitoring non-conforming items under exponentiated half-logistic distribution," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 30(2), pages 115-143.
    3. Mehdi Jabbari Nooghabi, 2021. "Comparing estimation of the parameters of distribution of the root density of plants in the presence of outliers," Environmetrics, John Wiley & Sons, Ltd., vol. 32(5), August.
    4. Adolfo Quiroz & Miguel Nakamura & Francisco Pérez, 1996. "Estimation of a multivariate Box-Cox transformation to elliptical symmetry via the empirical characteristic function," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 48(4), pages 687-709, December.
    5. 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.
    6. Sandeep Kumar Maurya & Saralees Nadarajah, 2021. "Poisson Generated Family of Distributions: A Review," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 83(2), pages 484-540, November.
    7. Jorge Figueroa-Zúñiga & Juan G. Toledo & Bernardo Lagos-Alvarez & Víctor Leiva & Jean P. Navarrete, 2023. "Inference Based on the Stochastic Expectation Maximization Algorithm in a Kumaraswamy Model with an Application to COVID-19 Cases in Chile," Mathematics, MDPI, vol. 11(13), pages 1-14, June.
    8. Guerrero, Victor M. & Solis-Lemus, Claudia, 2020. "A generalized measure of dispersion," Statistics & Probability Letters, Elsevier, vol. 164(C).
    9. Ayush Tripathi & Umesh Singh & Sanjay Kumar Singh, 2021. "Inferences for the DUS-Exponential Distribution Based on Upper Record Values," Annals of Data Science, Springer, vol. 8(2), pages 387-403, June.
    10. Harsh Tripathi & Varun Agiwal, 2024. "A new version of univariate Rayleigh distribution: properties, estimation and it’s application," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 15(11), pages 5367-5377, November.
    11. Sara Moheb & Amal S. Hassan & L. S. Diab, 2025. "Inference of $$P(X," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 87(2), pages 643-698, August.
    12. He, J.Y. & Chan, P.W. & Li, Q.S. & Lee, C.W., 2022. "Characterizing coastal wind energy resources based on sodar and microwave radiometer observations," Renewable and Sustainable Energy Reviews, Elsevier, vol. 163(C).
    13. Ausaina Niyomdecha & Patchanok Srisuradetchai, 2023. "Complementary Gamma Zero-Truncated Poisson Distribution and Its Application," Mathematics, MDPI, vol. 11(11), pages 1-13, June.
    14. 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.
    15. Mustapha Muhammad & Rashad A. R. Bantan & Lixia Liu & Christophe Chesneau & Muhammad H. Tahir & Farrukh Jamal & Mohammed Elgarhy, 2021. "A New Extended Cosine—G Distributions for Lifetime Studies," Mathematics, MDPI, vol. 9(21), pages 1-29, October.
    16. Majid Hashempour & Morad Alizadeh & Haitham M. Yousof, 2024. "A New Lindley Extension: Estimation, Risk Assessment and Analysis Under Bimodal Right Skewed Precipitation Data," Annals of Data Science, Springer, vol. 11(6), pages 1919-1958, December.
    17. Chakraburty Subrata & Alizadeh Morad & Handique Laba & Altun Emrah & Hamedani G. G., 2021. "A new extension of Odd Half-Cauchy Family of Distributions: properties and applications with regression modeling," Statistics in Transition New Series, Statistics Poland, vol. 22(4), pages 77-100, December.
    18. Raed R. Abu Awwad & Omar M. Bdair & Ghassan K. Abufoudeh, 2021. "Bayesian estimation and prediction based on Rayleigh record data with applications," Statistics in Transition New Series, Polish Statistical Association, vol. 22(3), pages 59-79, September.
    19. dos Santos, Fábio Sandro & do Nascimento, Kerolly Kedma Felix & da Silva Jale, Jader & Xavier, Sílvio Fernando Alves & Ferreira, Tiago A.E., 2024. "Brazilian wind energy generation potential using mixtures of Weibull distributions," Renewable and Sustainable Energy Reviews, Elsevier, vol. 189(PB).
    20. Yogendra P. Chaubey & Murari Singh & Debaraj Sen, 2017. "Symmetrizing and Variance Stabilizing Transformations of Sample Coefficient of Variation from Inverse Gaussian Distribution," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 79(2), pages 217-246, November.

    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:spr:qualqt:v:59:y:2025:i:4:d:10.1007_s11135-025-02097-8. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.