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Seemingly Unrelated Negative Binomial Regression

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  • Rainer Winkelmann

Abstract

This paper discusses the specification and estimation of seemingly unrelated multivariate count data models. A new model with negative binomial marginals is proposed. In contrast to a previous model based on the multivariate Poisson distribution, the new model allows for over‐dispersion, a phenomenon that is frequently encountered in economic count data. Semi‐parametric estimation is possible if some of the assumption of the fully specified model are violated.

Suggested Citation

  • Rainer Winkelmann, 2000. "Seemingly Unrelated Negative Binomial Regression," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 62(4), pages 553-560, September.
    • Handle: RePEc:bla:obuest:v:62:y:2000:i:4:p:553-560
    DOI: 10.1111/1468-0084.00188
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    1. Drivas, Kyriakos & Economidou, Claire & Karkalakos, Sotiris & Tsionas, Efthymios G., 2016. "Mobility of knowledge and local innovation activity," European Economic Review, Elsevier, vol. 85(C), pages 39-61.
    2. Marco Alfò & Giovanni Trovato, 2004. "Semiparametric Mixture Models for Multivariate Count Data, with Application," CEIS Research Paper 51, Tor Vergata University, CEIS.
    3. Stefan Lang & Samson B. Adebayo & Ludwig Fahrmeir & Winfried J. Steiner, 2003. "Bayesian Geoadditive Seemingly Unrelated Regression," Computational Statistics, Springer, vol. 18(2), pages 263-292, July.
    4. Herriges, Joseph A. & Phaneuf, Daniel J. & Tobias, Justin L., 2008. "Estimating demand systems when outcomes are correlated counts," Journal of Econometrics, Elsevier, vol. 147(2), pages 282-298, December.
    5. Eugenio Miravete, 2014. "Testing for complementarities among countable strategies," Empirical Economics, Springer, vol. 46(4), pages 1521-1544, June.
    6. Shi, Peng & Valdez, Emiliano A., 2014. "Multivariate negative binomial models for insurance claim counts," Insurance: Mathematics and Economics, Elsevier, vol. 55(C), pages 18-29.
    7. Katsuhito Nohara, 2014. "Economic Valuation of the Damage to Tourism Benefits by Eastern Japan Great Earthquake Disaster," ERSA conference papers ersa14p1017, European Regional Science Association.
    8. Antonello Maruotti & Pierfrancesco Alaimo Di Loro, 2023. "CO2 emissions and growth: A bivariate bidimensional mean‐variance random effects model," Environmetrics, John Wiley & Sons, Ltd., vol. 34(5), August.
    9. Egan, Kevin & Herriges, Joseph, 2006. "Multivariate count data regression models with individual panel data from an on-site sample," Journal of Environmental Economics and Management, Elsevier, vol. 52(2), pages 567-581, September.
    10. Stephen Hynes & William Greene, 2013. "A Panel Travel Cost Model Accounting for Endogenous Stratification and Truncation: A Latent Class Approach," Land Economics, University of Wisconsin Press, vol. 89(1), pages 177-192.
    11. Jie Yan & Sheng Zeng & Bijiang Tian & Yuanwen Cao & Wenchen Yang & Feng Zhu, 2023. "Relationship between Highway Geometric Characteristics and Accident Risk: A Multilayer Perceptron Model (MLP) Approach," Sustainability, MDPI, vol. 15(3), pages 1-15, January.
    12. Umeair Shahzad & Fukai Luo & Jing Liu, 2023. "Debt financing and technology investment Kuznets curve: Evidence from China," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 28(1), pages 751-765, January.
    13. Katsuhito Nohara & Masaki Narukawa, 2015. "Measuring lost recreational benefits in Fukushima due to harmful rumors using a Poisson-inverse Gaussian regression?," ERSA conference papers ersa15p344, European Regional Science Association.
    14. Vishaal Baulkaran & Pawan Jain, 2023. "Who uses robo‐advising and how?," The Financial Review, Eastern Finance Association, vol. 58(1), pages 65-89, February.
    15. Burkey, Mark L. & Obeng, Kofi, 2005. "Crash Risk Reduction at Signalized Intersections Using Longitudinal Data," MPRA Paper 36281, University Library of Munich, Germany.
    16. Aristidis Nikoloulopoulos & Dimitris Karlis, 2010. "Regression in a copula model for bivariate count data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(9), pages 1555-1568.
    17. Amaya-Gómez, Rafael & Sánchez-Silva, Mauricio & Muñoz, Felipe & Schoefs, Franck & Bastidas-Arteaga, Emilio, 2024. "Spatial characterization and simulation of new defects in corroded pipeline based on In-Line Inspections," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
    18. Ping Zhang & Chenzhu Wang & Fei Chen & Suping Cui & Jianchuan Cheng & Wu Bo, 2022. "A Random-Parameter Negative Binomial Model for Assessing Freeway Crash Frequency by Injury Severity: Daytime versus Nighttime," Sustainability, MDPI, vol. 14(15), pages 1-16, July.
    19. Shon R. Hiatt & W. Chad Carlos, 2019. "From farms to fuel tanks: Stakeholder framing contests and entrepreneurship in the emergent U.S. biodiesel market," Strategic Management Journal, Wiley Blackwell, vol. 40(6), pages 865-893, June.
    20. Park, Timothy A. & Lohr, Luanne, 2002. "Organic Pest Management Decisions: A Systems Approach," Faculty Series 16655, University of Georgia, Department of Agricultural and Applied Economics.

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