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On Wrapping of Quasi Lindley Distribution

Author

Listed:
  • Ahmad M. H. Al-khazaleh

    (Department of Mathematics, Al-Albayt University, Al-Mafraq 25113, Jordan)

  • Shawkat Alkhazaleh

    (Department of Mathematics, Faculty of Science, Zarqa University, Zarqa 13132, Jordan)

Abstract

In this paper, as an extension of Wrapping Lindley Distribution (WLD), we suggest a new circular distribution called the Wrapping Quasi Lindley Distribution (WQLD). We obtain the probability density function and derive the formula of a cumulative distribution function, characteristic function, trigonometric moments, and some related parameters for this WQLD. The maximum likelihood estimation method is used for the estimation of parameters.

Suggested Citation

  • Ahmad M. H. Al-khazaleh & Shawkat Alkhazaleh, 2019. "On Wrapping of Quasi Lindley Distribution," Mathematics, MDPI, vol. 7(10), pages 1-9, October.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:10:p:930-:d:274516
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    References listed on IDEAS

    as
    1. M. E. Ghitany & D. K. Al-Mutairi, 2008. "Size-biased Poisson-Lindley distribution and its application," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 299-311.
    2. Roy, Shongkour & Adnan, Mian Arif Shams, 2012. "Wrapped weighted exponential distributions," Statistics & Probability Letters, Elsevier, vol. 82(1), pages 77-83.
    3. Ghitany, M.E. & Atieh, B. & Nadarajah, S., 2008. "Lindley distribution and its application," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 78(4), pages 493-506.
    4. Savitri Joshi & K. K. Jose, 2018. "Wrapped Lindley distribution," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 47(5), pages 1013-1021, March.
    5. Ghitany, M.E. & Al-Mutairi, D.K. & Nadarajah, S., 2008. "Zero-truncated Poisson–Lindley distribution and its application," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(3), pages 279-287.
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