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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
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    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)

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