IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i15p3360-d1207803.html
   My bibliography  Save this article

A Bimodal Extension of the Log-Normal Distribution on the Real Line with an Application to DNA Microarray Data

Author

Listed:
  • Mai F. Alfahad

    (Department of Statistics and Operations Research, Faculty of Science, Kuwait University, Kuwait City 13060, Kuwait)

  • Mohamed E. Ghitany

    (Department of Statistics and Operations Research, Faculty of Science, Kuwait University, Kuwait City 13060, Kuwait)

  • Ahmad N. Alothman

    (Department of Statistics and Operations Research, Faculty of Science, Kuwait University, Kuwait City 13060, Kuwait)

  • Saralees Nadarajah

    (Department of Mathematics, University of Manchester, Manchester M13 9PL, UK)

Abstract

A bimodal double log-normal distribution on the real line is proposed using the random sign mixture transform. Its associated statistical inferences are derived. Its parameters are estimated by the maximum likelihood method. The performance of the estimators and the corresponding confidence intervals is checked by simulation studies. Application of the proposed distribution to a real data set from a DNA microarray is presented.

Suggested Citation

  • Mai F. Alfahad & Mohamed E. Ghitany & Ahmad N. Alothman & Saralees Nadarajah, 2023. "A Bimodal Extension of the Log-Normal Distribution on the Real Line with an Application to DNA Microarray Data," Mathematics, MDPI, vol. 11(15), pages 1-17, July.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:15:p:3360-:d:1207803
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/15/3360/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/15/3360/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Punathumparambath Bindu & Kulathinal Sangita, 2015. "Double Lomax Distribution and its Applications," Statistica, Department of Statistics, University of Bologna, vol. 75(3), pages 331-342.
    2. Nadarajah, Saralees & Afuecheta, Emmanuel & Chan, Stephen, 2013. "A double generalized Pareto distribution," Statistics & Probability Letters, Elsevier, vol. 83(12), pages 2656-2663.
    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. Hurairah Ahmed & Alabid Abdelhakim, 2020. "Beta transmuted Lomax distribution with applications," Statistics in Transition New Series, Statistics Poland, vol. 21(2), pages 13-34, June.
    2. Liu, Wei & Semeyutin, Artur & Lau, Chi Keung Marco & Gozgor, Giray, 2020. "Forecasting Value-at-Risk of Cryptocurrencies with RiskMetrics type models," Research in International Business and Finance, Elsevier, vol. 54(C).
    3. Aly, Emad-Eldin A.A., 2020. "On order statistics from Laplace-type distributions," Statistics & Probability Letters, Elsevier, vol. 160(C).
    4. Ahmed Hurairah & Abdelhakim Alabid, 2020. "Beta transmuted Lomax distribution with applications," Statistics in Transition New Series, Polish Statistical Association, vol. 21(2), pages 13-34, June.
    5. Halvarsson, Daniel, 2019. "Asymmetric Double Pareto Distributions: Maximum Likelihood Estimation with Application to the Growth Rate Distribution of Firms," Ratio Working Papers 327, The Ratio Institute.

    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:15:p:3360-:d:1207803. 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.