IDEAS home Printed from https://ideas.repec.org/a/wly/jjmath/v2025y2025i1n2556529.html

Generalization of Log‐Xgamma Distribution: Applications and R Shiny Web‐Tool

Author

Listed:
  • Emrah Altun
  • Hana N. Alqifari

Abstract

The two‐parameter xgamma distribution is employed to create a novel distribution that is suitable for bounded datasets within the interval (0, 1). A comprehensive analysis of the statistical properties of this newly proposed distribution is conducted. Various estimation procedures for the defined distribution are explored through different methodologies. A simulation study is performed to assess the efficacy of these estimation techniques. Three distinct datasets are examined, and the outcomes of the proposed distribution are compared with those of the Beta and Kumaraswamy distributions, along with other established unit distributions. Additionally, an R Shiny web tool has been developed to facilitate reproducibility of the results for users who do not utilize R.

Suggested Citation

  • Emrah Altun & Hana N. Alqifari, 2025. "Generalization of Log‐Xgamma Distribution: Applications and R Shiny Web‐Tool," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).
    • Handle: RePEc:wly:jjmath:v:2025:y:2025:i:1:n:2556529
    DOI: 10.1155/jom/2556529
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/jom/2556529
    Download Restriction: no
    File URL: https://libkey.io/10.1155/jom/2556529?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
    ---><---

    References listed on IDEAS

    as
    1. Butler, Richard J. & McDonald, James B., 1989. "Using incomplete moments to measure inequality," Journal of Econometrics, Elsevier, vol. 42(1), pages 109-119, September.
    2. Rashad A. R. Bantan & Christophe Chesneau & Farrukh Jamal & Mohammed Elgarhy & Muhammad H. Tahir & Aqib Ali & Muhammad Zubair & Sania Anam, 2020. "Some New Facts about the Unit-Rayleigh Distribution with Applications," Mathematics, MDPI, vol. 8(11), pages 1-23, November.
    3. Gastwirth, Joseph L, 1972. "The Estimation of the Lorenz Curve and Gini Index," The Review of Economics and Statistics, MIT Press, vol. 54(3), pages 306-316, August.
    4. Mintodê Nicodème Atchadé & Melchior N’bouké & Aliou Moussa Djibril & Shabnam Shahzadi & Eslam Hussam & Ramy Aldallal & Huda M Alshanbari & Ahmed M Gemeay & Abdal-Aziz H El-Bagoury, 2023. "A New Power Topp–Leone distribution with applications to engineering and industry data," PLOS ONE, Public Library of Science, vol. 18(1), pages 1-18, January.
    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. Vladimir Hlasny, 2021. "Parametric representation of the top of income distributions: Options, historical evidence, and model selection," Journal of Economic Surveys, Wiley Blackwell, vol. 35(4), pages 1217-1256, September.
    2. Victoria Danaan, 2018. "Analysing Poverty in Nigeria through Theoretical Lenses," Journal of Sustainable Development, Canadian Center of Science and Education, vol. 11(1), pages 1-20, January.
    3. Clarke, Philip & Van Ourti, Tom, 2010. "Calculating the concentration index when income is grouped," Journal of Health Economics, Elsevier, vol. 29(1), pages 151-157, January.
    4. Xiaofeng Lv & Gupeng Zhang & Guangyu Ren, 2017. "Gini index estimation for lifetime data," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 23(2), pages 275-304, April.
    5. Xinyu Wang & Chunlin Wang & Tao Yu & Pengfei Li, 2026. "Semiparametric inference for inequality measures under nonignorable nonresponse using callback data," Papers 2601.10501, arXiv.org.
    6. Modalsli, Jørgen, 2011. "Inequality and growth in the very long run: inferring inequality from data on social groups," Memorandum 11/2011, Oslo University, Department of Economics.
    7. Suryakant Yadav, 2021. "Progress of Inequality in Age at Death in India: Role of Adult Mortality," European Journal of Population, Springer;European Association for Population Studies, vol. 37(3), pages 523-550, July.
    8. Tom Van Ourti & Philip Clarke, 2008. "The Bias of the Gini Coefficient due to Grouping," Tinbergen Institute Discussion Papers 08-095/3, Tinbergen Institute.
    9. Stephen Davies & Peter L. Ormosi, 2014. "The economic impact of cartels and anti-cartel enforcement," Working Paper series, University of East Anglia, Centre for Competition Policy (CCP) 2013-07v2, Centre for Competition Policy, University of East Anglia, Norwich, UK..
    10. Erreygers, Guido, 2009. "Correcting the Concentration Index," Journal of Health Economics, Elsevier, vol. 28(2), pages 504-515, March.
    11. Peter Martey Addo & Dominique Guegan & Bertrand Hassani, 2018. "Credit Risk Analysis Using Machine and Deep Learning Models," Risks, MDPI, vol. 6(2), pages 1-20, April.
    12. Zhu, Yongjun & Yan, Erjia, 2017. "Examining academic ranking and inequality in library and information science through faculty hiring networks," Journal of Informetrics, Elsevier, vol. 11(2), pages 641-654.
    13. Juan Luo & Bao-zhen Li, 2022. "Impact of Digital Financial Inclusion on Consumption Inequality in China," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 163(2), pages 529-553, September.
    14. Huang, Ding-wei, 2018. "Optimal distribution of science funding," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 502(C), pages 613-618.
    15. Naudé, Wim & Amorós, José Ernesto & Cristi, Oscar, 2013. "'Romanticizing Penniless Entrepreneurs?' The Relationship between Start-Ups and Human Wellbeing across Countries," IZA Discussion Papers 7547, IZA Network @ LISER.
    16. Csörgö, Miklós & Zitikis, Ricardas, 1997. "On the rate of strong consistency of Lorenz curves," Statistics & Probability Letters, Elsevier, vol. 34(2), pages 113-121, June.
    17. Molinari, Francesca, 2020. "Microeconometrics with partial identification," Handbook of Econometrics, in: Steven N. Durlauf & Lars Peter Hansen & James J. Heckman & Rosa L. Matzkin (ed.), Handbook of Econometrics, edition 1, volume 7, chapter 0, pages 355-486, Elsevier.
    18. Han Hao & Chenyang Liu & Ling Xin, 2023. "Measurement and Dynamic Trend Research on the Development Level of Rural Industry Integration in China," Agriculture, MDPI, vol. 13(12), pages 1-16, December.
    19. Vladimir Hlasny & Paolo Verme, 2018. "Top Incomes and Inequality Measurement: A Comparative Analysis of Correction Methods Using the EU SILC Data," Econometrics, MDPI, vol. 6(2), pages 1-21, June.
    20. Luciana S. Soler & Peter H. Verburg & Diógenes S. Alves, 2014. "Evolution of Land Use in the Brazilian Amazon: From Frontier Expansion to Market Chain Dynamics," Land, MDPI, vol. 3(3), pages 1-34, August.

    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:wly:jjmath:v:2025:y:2025:i:1:n:2556529. 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/1469 .

    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.