Regression Analysis of Multivariate Fractional Data
The present article discusses alternative regression models and estimation methods for dealing with multivariate fractional response variables. Both conditional mean models, estimable by quasi-maximum likelihood, and fully parametric models (Dirichlet and Dirichletmultinomial), estimable by maximum likelihood, are considered. A new parameterization is proposed for the parametric models, which accommodates the most common specifications for the conditional mean (e.g., multinomial logit, nested logit, random parameters logit, dogit). The text also discusses at some length the specification analysis of fractional regression models, proposing several tests that can be performed through artificial regressions. Finally, an extensive Monte Carlo study evaluates the finite sample properties of most of the estimators and tests considered.
|Date of creation:||2013|
|Date of revision:|
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- Fry, Jane M. & Fry, Tim R. L. & McLaren, Keith R., 1996. "The stochastic specification of demand share equations: Restricting budget shares to the unit simplex," Journal of Econometrics, Elsevier, vol. 73(2), pages 377-385, August.
- Silvia Ferrari & Francisco Cribari-Neto, 2004. "Beta Regression for Modelling Rates and Proportions," Journal of Applied Statistics, Taylor & Francis Journals, vol. 31(7), pages 799-815.
- Donald W.K. Andrews, 1999.
"Testing When a Parameter Is on the Boundary of the Maintained Hypothesis,"
Cowles Foundation Discussion Papers
1229, Cowles Foundation for Research in Economics, Yale University.
- Andrews, Donald W K, 2001. "Testing When a Parameter Is on the Boundary of the Maintained Hypothesis," Econometrica, Econometric Society, vol. 69(3), pages 683-734, May.
- Chotikapanich, D. & Griffiths, W., 2001.
"Estimating Lorenz Curves Using a Dirichlet Distribution,"
Department of Economics - Working Papers Series
802, The University of Melbourne.
- Chotikapanich, Duangkamon & Griffiths, William E, 2002. "Estimating Lorenz Curves Using a Dirichlet Distribution," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(2), pages 290-95, April.
- Duangkamon Chotikapanich & William E. Griffiths, 2000. "Estimating Lorenz Curves Using a Dirichlet Distribution," Econometric Society World Congress 2000 Contributed Papers 1215, Econometric Society.
- Gaundry, Marc J. I. & Dagenais, Marcel G., 1979. "The dogit model," Transportation Research Part B: Methodological, Elsevier, vol. 13(2), pages 105-111, June.
- Dubin, Jeffrey A., 2007. "Valuing intangible assets with a nested logit market share model," Journal of Econometrics, Elsevier, vol. 139(2), pages 285-302, August.
- Considine, Timothy J & Mount, Timothy D, 1984. "The Use of Linear Logit Models for Dynamic Input Demand Systems," The Review of Economics and Statistics, MIT Press, vol. 66(3), pages 434-43, August.
- Mahdi Alkhamisi & Ghadban Khalaf & Ghazi Shukur, 2008. "The effect of fat-tailed error terms on the properties of systemwise RESET test," Journal of Applied Statistics, Taylor & Francis Journals, vol. 35(1), pages 101-113.
- David Giles & Andrea Keil, 1997. "Applying the RESET test in allocation models: a cautionary note," Applied Economics Letters, Taylor & Francis Journals, vol. 4(6), pages 359-363.
- Andrew Chesher & J. M. C. Santos Silva, 2002. "Taste Variation in Discrete Choice Models," Review of Economic Studies, Oxford University Press, vol. 69(1), pages 147-168.
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