IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i3p673-d1049831.html
   My bibliography  Save this article

A New Alpha Power Cosine-Weibull Model with Applications to Hydrological and Engineering Data

Author

Listed:
  • Abdulaziz S. Alghamdi

    (Department of Mathematics, College of Science & Arts, King Abdulaziz University, P.O. Box 344, Rabigh 21911, Saudi Arabia)

  • M. M. Abd El-Raouf

    (Basic and Applied Science Institute, Arab Academy for Science, Technology and Maritime Transport (AASTMT), Alexandria P.O. Box 1029, Egypt)

Abstract

Modifying the existing probability models in the literature and introducing new extensions of the existing probability models is a prominent and interesting research topic. However, in the most recent era, the extensions of the probability models via trigonometry methods have received great attention. This paper also offers a novel trigonometric version of the Weibull model called a new alpha power cosine-Weibull (for short, “NACos-Weibull”) distribution. The NACos-Weibull distribution is introduced by incorporating the cosine function. Certain distributional properties of the NACos-Weibull model are derived. The estimators of the NACos-Weibull model are derived by implementing the maximum likelihood approach. Three simulation studies are provided for different values of the parameters of the NACos-Weibull distribution. Finally, to demonstrate the effectiveness of the NACos-Weibull model, three applications from the hydrological and engineering sectors are considered.

Suggested Citation

  • Abdulaziz S. Alghamdi & M. M. Abd El-Raouf, 2023. "A New Alpha Power Cosine-Weibull Model with Applications to Hydrological and Engineering Data," Mathematics, MDPI, vol. 11(3), pages 1-25, January.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:3:p:673-:d:1049831
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/3/673/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/3/673/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Silahli, Baykar & Dingec, Kemal Dincer & Cifter, Atilla & Aydin, Nezir, 2021. "Portfolio value-at-risk with two-sided Weibull distribution: Evidence from cryptocurrency markets," Finance Research Letters, Elsevier, vol. 38(C).
    2. Michael D. Joehnk & Richard L. Smith, 1987. "From The Editor," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 10(4), pages 1-1, December.
    3. Suwarno Suwarno & M. Fitra Zambak, 2021. "The Probability Density Function for Wind Speed Using Modified Weibull Distribution," International Journal of Energy Economics and Policy, Econjournals, vol. 11(6), pages 544-550.
    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. Muhammad Fitra Zambak & Catra Indra Cahyadi & Jufri Helmi & Tengku Machdhalie Sofie & Suwarno Suwarno, 2023. "Evaluation and Analysis of Wind Speed with the Weibull and Rayleigh Distribution Models for Energy Potential Using Three Models," International Journal of Energy Economics and Policy, Econjournals, vol. 13(2), pages 427-432, March.
    2. Mohammed Chakib Sekkal & Zakarya Ziani & Moustafa Yassine Mahdad & Sidi Mohammed Meliani & Mohammed Haris Baghli & Mohammed Zakaria Bessenouci, 2024. "Assessing the Wind Power Potential in Naama, Algeria to Complement Solar Energy through Integrated Modeling of the Wind Resource and Turbine Wind Performance," Energies, MDPI, vol. 17(4), pages 1-34, February.
    3. Katarína Draganová & Karol Semrád & Monika Blišťanová & Tomáš Musil & Rastislav Jurč, 2021. "Influence of Disinfectants on Airport Conveyor Belts," Sustainability, MDPI, vol. 13(19), pages 1-13, September.
    4. Díaz, Antonio & Esparcia, Carlos & Huélamo, Diego, 2023. "Stablecoins as a tool to mitigate the downside risk of cryptocurrency portfolios," The North American Journal of Economics and Finance, Elsevier, vol. 64(C).

    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:gam:jmathe:v:11:y:2023:i:3:p:673-:d:1049831. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.