IDEAS home Printed from https://ideas.repec.org/a/kap/compec/v58y2021i2d10.1007_s10614-020-10028-y.html
   My bibliography  Save this article

Estimating the Unrestricted and Restricted Liu Estimators for the Poisson Regression Model: Method and Application

Author

Listed:
  • Kristofer Månsson

    (Jönköping University)

  • B. M. Golam Kibria

    (Florida International University)

Abstract

This paper considers both unrestricted and restricted Liu estimators in the presence of multicollinearity for the Poisson regression model. It also considers some new estimators of the shrinkage parameter for both unrestricted and restricted Liu estimators. Based on a simulation study and its empirical application, we found that the restricted estimator outperforms the unrestricted one. Further, the restricted Liu estimator also outperforms both the unrestricted Liu and restricted Liu estimators. Hence, this new method is a preferred option when the coefficient vector β may belong to a linear sub-space defined by Rβ = r.

Suggested Citation

  • Kristofer Månsson & B. M. Golam Kibria, 2021. "Estimating the Unrestricted and Restricted Liu Estimators for the Poisson Regression Model: Method and Application," Computational Economics, Springer;Society for Computational Economics, vol. 58(2), pages 311-326, August.
    • Handle: RePEc:kap:compec:v:58:y:2021:i:2:d:10.1007_s10614-020-10028-y
    DOI: 10.1007/s10614-020-10028-y
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10614-020-10028-y
    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/s10614-020-10028-y?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. Cameron,A. Colin & Trivedi,Pravin K., 2013. "Regression Analysis of Count Data," Cambridge Books, Cambridge University Press, number 9781107667273, September.
    2. Yalian Li & Hu Yang, 2010. "A new stochastic mixed ridge estimator in linear regression model," Statistical Papers, Springer, vol. 51(2), pages 315-323, June.
    3. Kristofer Månsson & B.M. Golam Kibria & Ghazi Shukur, 2016. "A restricted Liu estimator for binary regression models and its application to an applied demand system," Journal of Applied Statistics, Taylor & Francis Journals, vol. 43(6), pages 1119-1127, May.
    4. Hu Yang & Jianwen Xu, 2009. "An alternative stochastic restricted Liu estimator in linear regression," Statistical Papers, Springer, vol. 50(3), pages 639-647, June.
    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. Wang, Xu & Zhang, Xiaobo & Xie, Zhuan & Huang, Yiping, 2016. "Roads to innovation: Firm-level evidence from China:," IFPRI discussion papers 1542, International Food Policy Research Institute (IFPRI).
    2. Preusse, Verena & Wollni, Meike, 2021. "Adoption of sustainable agricultural practices in the context of urbanisation and environmental stress – Evidence from farmers in the rural-urban interface of Bangalore, India," 2021 Annual Meeting, August 1-3, Austin, Texas 312690, Agricultural and Applied Economics Association.
    3. Luiz Paulo Fávero & Joseph F. Hair & Rafael de Freitas Souza & Matheus Albergaria & Talles V. Brugni, 2021. "Zero-Inflated Generalized Linear Mixed Models: A Better Way to Understand Data Relationships," Mathematics, MDPI, vol. 9(10), pages 1-28, May.
    4. Bono, Pierre-Henri & David, Quentin & Desbordes, Rodolphe & Py, Loriane, 2022. "Metro infrastructure and metropolitan attractiveness," Regional Science and Urban Economics, Elsevier, vol. 93(C).
    5. Scott, Ryan P. & Scott, Tyler A., 2019. "Investing in collaboration for safety: Assessing grants to states for oil and gas distribution pipeline safety program enhancement," Energy Policy, Elsevier, vol. 124(C), pages 332-345.
    6. Riccardo (Jack) Lucchetti & Luca Pedini, 2020. "ParMA: Parallelised Bayesian Model Averaging for Generalised Linear Models," Working Papers 2020:28, Department of Economics, University of Venice "Ca' Foscari".
    7. Landry, Craig E. & Shonkwiler, J. Scott & Whitehead, John C., 2020. "Economic Values of Coastal Erosion Management: Joint Estimation of Use and Existence Values with recreation demand and contingent valuation data," Journal of Environmental Economics and Management, Elsevier, vol. 103(C).
    8. John McLaren & Su Wang, 2020. "Effects of Reduced Workplace Presence on COVID-19 Deaths: An Instrumental-Variables Approach," NBER Working Papers 28275, National Bureau of Economic Research, Inc.
    9. Massimiliano Cal� & Sami H. Miaari, 2014. "Trade, employment and conflict: Evidence from the Second Intifada," HiCN Working Papers 186, Households in Conflict Network.
    10. Mónica Moreno-Gutiérrez & Víctor Hernández-Trejo & Ramón Valdivia-Alcalá & Judith Juárez-Mancilla & Plácido Roberto Cruz-Chávez & Ulianov Jakes-Cota, 2024. "Linking Tourist Willingness to Pay and Beach Management: A Travel Cost Analysis for Balandra Marine Park, Mexico," Tourism and Hospitality, MDPI, vol. 5(4), pages 1-20, October.
    11. Kauffmann, Albrecht, 2021. "Befindet sich die "Metropolregion Mitteldeutschland" auf dem Weg zur räumlich integrierten Region? Eine empirische Untersuchung der Berufspendlerverflechtungen," Arbeitsberichte der ARL: Aufsätze, in: Rosenfeld, Martin T. W. & Stefansky, Andreas (ed.), "Metropolregion Mitteldeutschland" aus raumwissenschaftlicher Sicht, volume 30, pages 76-95, ARL – Akademie für Raumentwicklung in der Leibniz-Gemeinschaft.
    12. Barfield, Ashley & Shonkwiler, J. Scott, 2016. "A Distribution Transition Method for Extreme Responses in Recreation Survey Data," 2016 Annual Meeting, July 31-August 2, Boston, Massachusetts 235670, Agricultural and Applied Economics Association.
    13. Ghosh, Prasenjit & Rong, Jian & Khanna, Madhu & Wang, Weiwei & Miao, Ruiqing, 2017. "Have They Gone with the Wind? Indirect Effects of Wind Turbines on Bird Abundance," 2017 Annual Meeting, July 30-August 1, Chicago, Illinois 258100, Agricultural and Applied Economics Association.
    14. Irene Sanchez Arjona & Ester Faia & Gianmarco I. P. Ottaviano, 2017. "International expansion and riskiness of banks," CEP Discussion Papers dp1481, Centre for Economic Performance, LSE.
    15. Mullahy, John, 2024. "Analyzing health outcomes measured as bounded counts," Journal of Health Economics, Elsevier, vol. 95(C).
    16. Michel Beine & Ilan Noy & Christopher Parsons, 2021. "Climate change, migration and voice," Climatic Change, Springer, vol. 167(1), pages 1-27, July.
    17. Christian Kleiber & Achim Zeileis, 2016. "Visualizing Count Data Regressions Using Rootograms," The American Statistician, Taylor & Francis Journals, vol. 70(3), pages 296-303, July.
    18. D M Zimmer, 2023. "The effect of food stamps on fibre intake," Economic Issues Journal Articles, Economic Issues, vol. 28(2), pages 71-86, September.
    19. Cirillo, Valeria & Fanti, Lucrezia & Mina, Andrea & Ricci, Andrea, 2023. "The adoption of digital technologies: Investment, skills, work organisation," Structural Change and Economic Dynamics, Elsevier, vol. 66(C), pages 89-105.
    20. H Zeynep Bulutgil & Neeraj Prasad, 2023. "Inequality, elections, and communal riots in India," Journal of Peace Research, Peace Research Institute Oslo, vol. 60(4), pages 619-633, July.

    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:kap:compec:v:58:y:2021:i:2:d:10.1007_s10614-020-10028-y. 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.