IDEAS home Printed from https://ideas.repec.org/a/wly/jjmath/v2022y2022i1n8521026.html

[Retracted] The Exponentiated Exponential‐Inverse Weibull Model: Theory and Application to COVID‐19 Data in Saudi Arabia

Author

Listed:
  • Majdah Mohammed Badr
  • Ghaida Sobahi

Abstract

The purpose of this study is to introduce a new T‐X family lifetime distribution known as exponentiated exponential‐inverse Weibull, and we refer to this distribution as EE‐IW. The new model’s basic mathematical characteristics are studied. The maximum likelihood (ML) estimator (MLE) approach is used to estimate the parameters. A Monte Carlo simulation is done to examine the behavior of the estimators. Finally, a real‐world dataset is utilized to show the utility of the proposed model in many industries and to compare it to well‐known distributions.

Suggested Citation

  • Majdah Mohammed Badr & Ghaida Sobahi, 2022. "[Retracted] The Exponentiated Exponential‐Inverse Weibull Model: Theory and Application to COVID‐19 Data in Saudi Arabia," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:8521026
    DOI: 10.1155/2022/8521026
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2022/8521026
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2022/8521026?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. Said Alkarni & Ahmed Z. Afify & I. Elbatal & M. Elgarhy, 2020. "The Extended Inverse Weibull Distribution: Properties and Applications," Complexity, Hindawi, vol. 2020, pages 1-11, October.
    2. Felipe Gusmão & Edwin Ortega & Gauss Cordeiro, 2011. "The generalized inverse Weibull distribution," Statistical Papers, Springer, vol. 52(3), pages 591-619, August.
    3. repec:plo:pone00:0248873 is not listed on IDEAS
    4. Saralees Nadarajah, 2011. "The exponentiated exponential distribution: a survey," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 95(3), pages 219-251, September.
    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. Lemonte, Artur J., 2013. "A new exponential-type distribution with constant, decreasing, increasing, upside-down bathtub and bathtub-shaped failure rate function," Computational Statistics & Data Analysis, Elsevier, vol. 62(C), pages 149-170.
    2. Shubham Agnihotri & Sanjay Kumar Singh & Umesh Singh, 2025. "Bayesian inferences and prediction of exponentiated exponential distribution based on multiple interval censored data," Computational Statistics, Springer, vol. 40(5), pages 2635-2655, June.
    3. Gauss Cordeiro & Elizabeth Hashimoto & Edwin Ortega & Marcelino Pascoa, 2012. "The McDonald extended distribution: properties and applications," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 96(3), pages 409-433, July.
    4. Rasool Roozegar & Saralees Nadarajah & Eisa Mahmoudi, 2022. "The Power Series Exponential Power Series Distributions with Applications to Failure Data Sets," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 84(1), pages 44-78, May.
    5. Ali Doostmoradi, 2018. "A New Distribution with two parameters to Lifetime Data," Biostatistics and Biometrics Open Access Journal, Juniper Publishers Inc., vol. 8(2), pages 30-35, September.
    6. Gauss Cordeiro & Cláudio Cristino & Elizabeth Hashimoto & Edwin Ortega, 2013. "The beta generalized Rayleigh distribution with applications to lifetime data," Statistical Papers, Springer, vol. 54(1), pages 133-161, February.
    7. Vicente G. Cancho & Márcia A. C. Macera & Adriano K. Suzuki & Francisco Louzada & Katherine E. C. Zavaleta, 2020. "A new long-term survival model with dispersion induced by discrete frailty," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 26(2), pages 221-244, April.
    8. C. Satheesh Kumar & Subha R. Nair, 2021. "A generalization to the log-inverse Weibull distribution and its applications in cancer research," Journal of Statistical Distributions and Applications, Springer, vol. 8(1), pages 1-30, December.
    9. Azeem Ali & Sanku Dey & Haseeb Ur Rehman & Zeeshan Ali, 2019. "On Bayesian reliability estimation of a 1-out-of-k load sharing system model of modified Burr-III distribution," 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. 10(5), pages 1052-1081, October.
    10. Mehrzad Ghorbani & Seyed Fazel Bagheri & Mojtaba Alizadeh, 2017. "A New Family of Distributions: The Additive Modified Weibull Odd Log-logistic-G Poisson Family, Properties and Applications," Annals of Data Science, Springer, vol. 4(2), pages 249-287, June.
    11. Rashad A. R. Bantan & Christophe Chesneau & Farrukh Jamal & Mohammed Elgarhy, 2020. "On the Analysis of New COVID-19 Cases in Pakistan Using an Exponentiated Version of the M Family of Distributions," Mathematics, MDPI, vol. 8(6), pages 1-20, June.
    12. Naelah Alghufily & Khalaf S. Sultan & Hossam M. M. Radwan, 2025. "Multivariate Modified Dugum Distribution and Its Applications," Mathematics, MDPI, vol. 13(10), pages 1-27, May.
    13. Hassan Amal S. & Elshaarawy Rasha S. & Nagy Heba F., 2022. "Parameter estimation of exponentiated exponential distribution under selective ranked set sampling," Statistics in Transition New Series, Statistics Poland, vol. 23(4), pages 37-58, December.
    14. Shovan Chowdhury, 2014. "Compounded Generalized Weibull Distributions - A Unified Approach," Working papers 148, Indian Institute of Management Kozhikode.
    15. Mahmoud Ragab & Ahmed Elhassanein, 2022. "A New Bivariate Extended Generalized Inverted Kumaraswamy Weibull Distribution," Advances in Mathematical Physics, John Wiley & Sons, vol. 2022(1).
    16. Roberto Casarin & Bertrand B. Maillet & Anthony Osuntuyi, 2024. "Monte carlo within simulated annealing for integral constrained optimizations," Annals of Operations Research, Springer, vol. 334(1), pages 205-240, March.
    17. Ehab M. Almetwally, 2022. "The Odd Weibull Inverse Topp–Leone Distribution with Applications to COVID-19 Data," Annals of Data Science, Springer, vol. 9(1), pages 121-140, February.
    18. Hisham M Almongy & Ehab M Almetwally & Hanan Haj Ahmad & Abdullah H. Al-nefaie, 2022. "Modeling of COVID-19 vaccination rate using odd Lomax inverted Nadarajah-Haghighi distribution," PLOS ONE, Public Library of Science, vol. 17(10), pages 1-24, October.
    19. Debasis Kundu, 2022. "Stationary GE-Process and its Application in Analyzing Gold Price Data," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 84(2), pages 575-595, November.
    20. Almalki, Saad J. & Nadarajah, Saralees, 2014. "Modifications of the Weibull distribution: A review," Reliability Engineering and System Safety, Elsevier, vol. 124(C), pages 32-55.

    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:wly:jjmath:v:2022:y:2022:i:1:n:8521026. 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/1469 .

    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.