IDEAS home Printed from https://ideas.repec.org/a/hin/jnljps/8024769.html
   My bibliography  Save this article

On the Alpha Power Transformed Power Lindley Distribution

Author

Listed:
  • Amal S. Hassan
  • M. Elgarhy
  • Rokaya E. Mohamd
  • Sharifah Alrajhi

Abstract

In this paper, we introduce a new generalization of the power Lindley distribution referred to as the alpha power transformed power Lindley (APTPL). The APTPL model provides a better fit than the power Lindley distribution. It includes the alpha power transformed Lindley, power Lindley, Lindley, and gamma as special submodels. Various properties of the APTPL distribution including moments, incomplete moments, quantiles, entropy, and stochastic ordering are obtained. Maximum likelihood, maximum products of spacings, and ordinary and weighted least squares methods of estimation are utilized to obtain the estimators of the population parameters. Extensive numerical simulation is performed to examine and compare the performance of different estimates. Two important data sets are employed to show how the proposed model works in practice.

Suggested Citation

  • Amal S. Hassan & M. Elgarhy & Rokaya E. Mohamd & Sharifah Alrajhi, 2019. "On the Alpha Power Transformed Power Lindley Distribution," Journal of Probability and Statistics, Hindawi, vol. 2019, pages 1-13, January.
    • Handle: RePEc:hin:jnljps:8024769
    DOI: 10.1155/2019/8024769
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/JPS/2019/8024769.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/JPS/2019/8024769.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2019/8024769?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
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Ateq Alghamedi & Sanku Dey & Devendra Kumar & Saeed A. Dobbah, 2020. "A New Extension of Extended Exponential Distribution with Applications," Annals of Data Science, Springer, vol. 7(1), pages 139-162, March.
    2. Hadeel S Klakattawi, 2022. "Survival analysis of cancer patients using a new extended Weibull distribution," PLOS ONE, Public Library of Science, vol. 17(2), pages 1-20, February.
    3. Sandeep Kumar Maurya & Saralees Nadarajah, 2021. "Poisson Generated Family of Distributions: A Review," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 83(2), pages 484-540, November.
    4. Joseph Thomas Eghwerido & Lawrence Chukwudumebi Nzei & Friday Ikechukwu Agu, 2021. "The Alpha Power Gompertz Distribution: Characterization, Properties, and Applications," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 83(1), pages 449-475, February.

    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:hin:jnljps:8024769. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.