Multivariate Fractional Regression Estimation Of Econometric Share Models
AbstractThis paper describes and applies econometric strategies for estimating regression models of economic share data outcomes where the shares may take boundary values (zero and one) with nontrivial probability. The main focus of the paper is on the conditional mean structures of such data. The paper proposes an extension of the fractional regression methodology proposed by Papke and Wooldridge, 1996, 2008, in univariate cross-sectional and panel contexts. The paper discusses the stochastic aspects of share definition and measurement, and summarizes important features of the existing literature on econometric strategies for share model estimation. The paper then goes on to discuss the univariate fractional regression estimation strategies proposed by Papke and Wooldridge and to extend the fractional regression approach to estimation of and inference about regression models describing the multivariate share data. Some issues involving outcome aggregation/disaggregation are considered, as is a full likelihood estimation approach based on Dirichletmultinomial models. The paper demonstrates the workings of these various empirical strategies by estimating models of financial asset portfolio shares using data from the 2001, 2004, and 2007 U.S. Surveys of Consumer Finances
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Bibliographic InfoPaper provided by Geary Institute, University College Dublin in its series Working Papers with number 201133.
Length: 45 pages
Date of creation: 30 Nov 2011
Date of revision:
fractional regression; economic shares; outcome aggregation/disaggregation; Dirichlet-multinomial models;
Other versions of this item:
- John Mullahy, 2010. "Multivariate Fractional Regression Estimation of Econometric Share Models," NBER Working Papers 16354, National Bureau of Economic Research, Inc.
- C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables
- D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Paulo Guimar�es & Richard C. Lindrooth, 2007. "Controlling for overdispersion in grouped conditional logit models: A computationally simple application of Dirichlet-multinomial regression," Econometrics Journal, Royal Economic Society, vol. 10(2), pages 439-452, 07.
- 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.
- Orme, Chris, 1990. "The small-sample performance of the information-matrix test," Journal of Econometrics, Elsevier, vol. 46(3), pages 309-331, December.
- Kooreman, P. & Kapteyn, A.J., 1987.
"A disaggregrated analysis of the allocation of time within the household,"
Open Access publications from Tilburg University
urn:nbn:nl:ui:12-364357, Tilburg University.
- Kooreman, Peter & Kapteyn, Arie, 1987. "A Disaggregated Analysis of the Allocation of Time within the Household," Journal of Political Economy, University of Chicago Press, vol. 95(2), pages 223-49, April.
- Kooreman, P. & Kapteyn, A.J., 1984. "A disaggregated analysis of the allocation of time within the household," Research Memorandum 153, Tilburg University, Faculty of Economics and Business Administration.
- James J. Heckman & Robert J. Willis, 1975.
"A Beta-Logistic Model for the Analysis of Sequential Labor Force Participation by Married Women,"
NBER Working Papers
0112, National Bureau of Economic Research, Inc.
- Heckman, James J & Willis, Robert J, 1977. "A Beta-logistic Model for the Analysis of Sequential Labor Force Participation by Married Women," Journal of Political Economy, University of Chicago Press, vol. 85(1), pages 27-58, February.
- Cotterman, R & Peracchi, F, 1992. "Classification and Aggregation: An Application to Industrial Classification in CPS Data," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 7(1), pages 31-51, Jan.-Marc.
- Billheimer D. & Guttorp P. & Fagan W.F., 2001. "Statistical Interpretation of Species Composition," Journal of the American Statistical Association, American Statistical Association, vol. 96, pages 1205-1214, December.
- Hausman, Jerry & McFadden, Daniel, 1984.
"Specification Tests for the Multinomial Logit Model,"
Econometric Society, vol. 52(5), pages 1219-40, September.
- D. McFadden & J. Hausman, 1981. "Specification Tests for the Multinominal Logit Model," Working papers 292, Massachusetts Institute of Technology (MIT), Department of Economics.
- Esmeralda A. Ramalho & Joaquim J.S. Ramalho & José M.R. Murteira, 2009.
"Alternative estimating and testing empirical strategies for fractional regression models,"
CEFAGE-UE Working Papers
2009_08, University of Evora, CEFAGE-UE (Portugal).
- Esmeralda A. Ramalho & Joaquim J.S. Ramalho & José M.R. Murteira, 2011. "Alternative Estimating And Testing Empirical Strategies For Fractional Regression Models," Journal of Economic Surveys, Wiley Blackwell, vol. 25(1), pages 19-68, 02.
- Gourieroux, Christian & Monfort, Alain & Trognon, Alain, 1984.
"Pseudo Maximum Likelihood Methods: Theory,"
Econometric Society, vol. 52(3), pages 681-700, May.
- 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.
- Steven F. Koch, 2010. "Fractional Multinomial Response Models With An Application To Expenditure Shares," Working Papers 201021, University of Pretoria, Department of Economics.
- McElroy, Marjorie B, 1987. "Additive General Error Models for Production, Cost, and Derived Demand or Share Systems," Journal of Political Economy, University of Chicago Press, vol. 95(4), pages 737-57, August.
- Chesher, Andrew, 1983. "The information matrix test : Simplified calculation via a score test interpretation," Economics Letters, Elsevier, vol. 13(1), pages 45-48.
- Brown, Bryan W & Walker, Mary Beth, 1989. "The Random Utility Hypothesis and Inference in Demand Systems," Econometrica, Econometric Society, vol. 57(4), pages 815-29, July.
- Bryan W. Brown & Mary Beth Walker, 1992. "Stochastic specification in random production models of cost minimizing firms," Working Paper 92-6, Federal Reserve Bank of Atlanta.
- 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 619-32, Nov.-Dec..
- Leslie E. Papke & Jeffrey M. Wooldridge, 1993. "Econometric Methods for Fractional Response Variables with an Application to 401(k) Plan Participation Rates," NBER Technical Working Papers 0147, National Bureau of Economic Research, Inc.
- Hill, M Anne, 1983. "Female Labor Force Participation in Developing and Developed Countries-Consideration of the Informal Sector," The Review of Economics and Statistics, MIT Press, vol. 65(3), pages 459-68, August.
- Wales, Terence J & Woodland, A D, 1977. "Estimation of the Allocation of Time for Work, Leisure, and Housework," Econometrica, Econometric Society, vol. 45(1), pages 115-32, January.
- Gourieroux, Christian & Monfort, Alain & Trognon, Alain, 1984.
"Pseudo Maximum Likelihood Methods: Applications to Poisson Models,"
Econometric Society, vol. 52(3), pages 701-20, May.
- Gourieroux Christian & Monfort Alain & Trognon A, 1982. "Pseudo maximum lilelihood methods : applications to poisson models," CEPREMAP Working Papers (Couverture Orange) 8203, CEPREMAP.
- Chavas, Jean-Paul & Segerson, Kathleen, 1987. "Stochastic specification and estimation of share equation systems," Journal of Econometrics, Elsevier, vol. 35(2-3), pages 337-358, July.
- Christensen, Laurits R & Jorgenson, Dale W & Lau, Lawrence J, 1975. "Transcendental Logarithmic Utility Functions," American Economic Review, American Economic Association, vol. 65(3), pages 367-83, June.
- Brown, Bryan W. & Walker, Mary Beth, 1995. "Stochastic specification in random production models of cost-minimizing firms," Journal of Econometrics, Elsevier, vol. 66(1-2), pages 175-205.
- Cramer, J. S. & Ridder, G., 1991. "Pooling states in the multinomial logit model," Journal of Econometrics, Elsevier, vol. 47(2-3), pages 267-272, February.
- 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.
- Papke, Leslie E. & Wooldridge, Jeffrey M., 2008. "Panel data methods for fractional response variables with an application to test pass rates," Journal of Econometrics, Elsevier, vol. 145(1-2), pages 121-133, July.
- John Heaton & Deborah Lucas, 2000. "Portfolio Choice and Asset Prices: The Importance of Entrepreneurial Risk," Journal of Finance, American Finance Association, vol. 55(3), pages 1163-1198, 06.
- Berry, Steven & Levinsohn, James & Pakes, Ariel, 1995. "Automobile Prices in Market Equilibrium," Econometrica, Econometric Society, vol. 63(4), pages 841-90, July.
- White, Halbert, 1982. "Maximum Likelihood Estimation of Misspecified Models," Econometrica, Econometric Society, vol. 50(1), pages 1-25, January.
- Woodland, A. D., 1979. "Stochastic specification and the estimation of share equations," Journal of Econometrics, Elsevier, vol. 10(3), pages 361-383, August.
- Lee, Lung-Fei & Pitt, Mark M, 1986. "Microeconometric Demand Systems with Binding Nonnegativity Constraints: The Dual Approach," Econometrica, Econometric Society, vol. 54(5), pages 1237-42, September.
- John Mullahy & Stephanie Robert, 2010. "No time to lose: time constraints and physical activity in the production of health," Review of Economics of the Household, Springer, vol. 8(4), pages 409-432, December.
- David Crawford & Robert Pollak & Francis Vella, 1998. "Simple inference in multinomial and ordered logit," Econometric Reviews, Taylor & Francis Journals, vol. 17(3), pages 289-299.
- Lancaster, Tony, 1984. "The Covariance Matrix of the Information Matrix Test," Econometrica, Econometric Society, vol. 52(4), pages 1051-53, July.
- Jianhong Mu & Bruce McCarl & Anne Wein, 2013. "Adaptation to climate change: changes in farmland use and stocking rate in the U.S," Mitigation and Adaptation Strategies for Global Change, Springer, vol. 18(6), pages 713-730, August.
- Jean-Sauveur Ay & Raja Chakir & Julie Le Gallo, 2014. "The effects of scale, space and time on the predictive accuracy of land use models," Working Papers 2014/02, INRA, Economie Publique.
- Girma, Hiywot Menker & Hassan, Rashid M., 2014. "Drivers of land-use change in the Southern Nations, Nationalities and Peopleâ€™s Region of Ethiopia," African Journal of Agricultural and Resource Economics, African Association of Agricultural Economists, vol. 9(2), April.
- Harald Oberhofer & Michael Pfaffermayr, 2014. "Two-Part Models for Fractional Responses Defined as Ratios of Integers," WIFO Working Papers 472, WIFO.
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