IDEAS home Printed from https://ideas.repec.org/a/spr/testjl/v29y2020i4d10.1007_s11749-020-00700-8.html
   My bibliography  Save this article

Kumaraswamy regression model with Aranda-Ordaz link function

Author

Listed:
  • Guilherme Pumi

    (Federal University of Rio Grande do Sul)

  • Cristine Rauber

    (Federal University of Pernambuco)

  • Fábio M. Bayer

    (Federal University of Santa Maria)

Abstract

In this work, we introduce a regression model for double-bounded variables in the interval (0, 1) following a Kumaraswamy distribution. The model resembles a generalized linear model, in which the response’s median is modeled by a regression structure through the asymmetric Aranda-Ordaz parametric link function. We consider the maximum likelihood approach to estimate the regression and the link function parameters altogether. We study large sample properties of the proposed maximum likelihood approach, presenting closed-form expressions for the score vector as well as the observed and Fisher information matrices. We briefly present and discuss some diagnostic tools. We provide numeric evaluation of the finite sample inferences to show the performance of the estimators. Finally, to exemplify the usefulness of the methodology, we present and explore an empirical application.

Suggested Citation

  • Guilherme Pumi & Cristine Rauber & Fábio M. Bayer, 2020. "Kumaraswamy regression model with Aranda-Ordaz link function," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(4), pages 1051-1071, December.
    • Handle: RePEc:spr:testjl:v:29:y:2020:i:4:d:10.1007_s11749-020-00700-8
    DOI: 10.1007/s11749-020-00700-8
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11749-020-00700-8
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s11749-020-00700-8?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Pablo Mitnik & Sunyoung Baek, 2013. "The Kumaraswamy distribution: median-dispersion re-parameterizations for regression modeling and simulation-based estimation," Statistical Papers, Springer, vol. 54(1), pages 177-192, February.
    2. Cai, Zongwu & Xiao, Zhijie, 2012. "Semiparametric quantile regression estimation in dynamic models with partially varying coefficients," Journal of Econometrics, Elsevier, vol. 167(2), pages 413-425.
    3. Fokianos, Konstantinos & Kedem, Benjamin, 1998. "Prediction and Classification of Non-stationary Categorical Time Series," Journal of Multivariate Analysis, Elsevier, vol. 67(2), pages 277-296, November.
    4. Diego Ramos Canterle & Fábio Mariano Bayer, 2019. "Variable dispersion beta regressions with parametric link functions," Statistical Papers, Springer, vol. 60(5), pages 1541-1567, October.
    5. Muggeo, Vito M.R. & Ferrara, Giancarlo, 2008. "Fitting generalized linear models with unspecified link function: A P-spline approach," Computational Statistics & Data Analysis, Elsevier, vol. 52(5), pages 2529-2537, January.
    6. Papke, Leslie E & Wooldridge, Jeffrey M, 1996. "Econometric Methods for Fractional Response Variables with an Application to 401(K) Plan Participation Rates," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(6), pages 619-632, Nov.-Dec..
    7. Hakim-Moulay Dehbi & Mario Cortina-Borja & Marco Geraci, 2016. "Aranda-Ordaz quantile regression for student performance assessment," Journal of Applied Statistics, Taylor & Francis Journals, vol. 43(1), pages 58-71, January.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Fábio M. Bayer & Francisco Cribari‐Neto & Jéssica Santos, 2021. "Inflated Kumaraswamy regressions with application to water supply and sanitation in Brazil," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 75(4), pages 453-481, November.

    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. Cristine Rauber & Francisco Cribari-Neto & Fábio M. Bayer, 2020. "Improved testing inferences for beta regressions with parametric mean link function," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 104(4), pages 687-717, December.
    2. Philip Kostov & Sophia Davidova & Alastair Bailey & Ekrem Gjokaj & Kapllan Halimi, 2021. "Can Direct Payments Facilitate Agricultural Commercialisation: Evidence from a Transition Country," Journal of Agricultural Economics, Wiley Blackwell, vol. 72(1), pages 72-96, February.
    3. Jinsuk Yang & Qing Hao & Mahmut Yaşar, 2023. "Institutional investors and cross‐border mergers and acquisitions: The 2000–2018 period," International Review of Finance, International Review of Finance Ltd., vol. 23(3), pages 553-583, September.
    4. Alexander Klein & Karl Gunnar Persson & Paul Sharp, 2023. "Populism and the first wave of globalization: Evidence from the 1892 US presidential election," Rivista di storia economica, Società editrice il Mulino, issue 2, pages 163-202.
    5. Alperovych, Yan & Hübner, Georges & Lobet, Fabrice, 2015. "How does governmental versus private venture capital backing affect a firm's efficiency? Evidence from Belgium," Journal of Business Venturing, Elsevier, vol. 30(4), pages 508-525.
    6. Giuliani, Elisa & Martinelli, Arianna & Rabellotti, Roberta, 2016. "Is Co-Invention Expediting Technological Catch Up? A Study of Collaboration between Emerging Country Firms and EU Inventors," World Development, Elsevier, vol. 77(C), pages 192-205.
    7. Matthias Schmid & Florian Wickler & Kelly O Maloney & Richard Mitchell & Nora Fenske & Andreas Mayr, 2013. "Boosted Beta Regression," PLOS ONE, Public Library of Science, vol. 8(4), pages 1-15, April.
    8. Christophe Hurlin & Jérémy Leymarie & Antoine Patin, 2018. "Loss functions for LGD model comparison," Working Papers halshs-01516147, HAL.
    9. Blackburn, McKinley L. & Vermilyea, Todd, 2012. "The prevalence and impact of misstated incomes on mortgage loan applications," Journal of Housing Economics, Elsevier, vol. 21(2), pages 151-168.
    10. de Rassenfosse, Gaétan, 2013. "Do firms face a trade-off between the quantity and the quality of their inventions?," Research Policy, Elsevier, vol. 42(5), pages 1072-1079.
    11. Mazen Hassan & Sarah Mansour & Stefan Voigt & May Gadallah, 2022. "When Syria was in Egypt’s land: Egyptians cooperate with Syrians, but less with each other," Public Choice, Springer, vol. 191(3), pages 337-362, June.
    12. Qun Bao & Jiuli Huang & Yanling Wang, 2015. "Productivity and Firms’ Sales Destination: Chinese Characteristics," Review of International Economics, Wiley Blackwell, vol. 23(3), pages 620-637, August.
    13. Alessandro Barattieri & Matteo Cacciatore, 2023. "Self-Harming Trade Policy? Protectionism and Production Networks," American Economic Journal: Macroeconomics, American Economic Association, vol. 15(2), pages 97-128, April.
    14. Meyer, Ina & Kaniovski, Serguei & Scheffran, Jürgen, 2012. "Scenarios for regional passenger car fleets and their CO2 emissions," Energy Policy, Elsevier, vol. 41(C), pages 66-74.
    15. Ingo Geishecker & Philipp J. H. Schröder & Allan S⊘rensen, 2019. "One‐off export events," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 52(1), pages 93-131, February.
    16. Dawson Chris & Veliziotis Michail & Hopkins Benjamin, 2014. "Assimilation of the migrant work ethic," Working Papers 20141407, Department of Accounting, Economics and Finance, Bristol Business School, University of the West of England, Bristol.
    17. Nicole M. Mason & Thomas S. Jayne & Nicolas van de Walle, 2017. "The Political Economy of Fertilizer Subsidy Programs in Africa: Evidence from Zambia," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 99(3), pages 705-731.
    18. Massimiliano Affinito & Matteo Piazza, 2021. "Always Look on the Bright Side? Central Counterparties and Interbank Markets during the Financial Crisis," International Journal of Central Banking, International Journal of Central Banking, vol. 17(1), pages 231-283, March.
    19. Piyapas Tharavanij, 2007. "Capital Market, Frequency Of Recession, And Fraction Of Time The Economy In Recession," Monash Economics Working Papers 34-07, Monash University, Department of Economics.
    20. Du Caju, Philip & Fuss, Catherine & Wintr, Ladislav, 2009. "Understanding sectoral differences in downward real wage rigidity: workforce composition, institutions, technology and competition," Working Paper Series 1006, European Central Bank.

    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:spr:testjl:v:29:y:2020:i:4:d:10.1007_s11749-020-00700-8. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.