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Multivariate Fractional Regression Estimation of Econometric Share Models

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  • John Mullahy

Abstract

This 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 Dirichlet-multinomial 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 Info

Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 16354.

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Date of creation: Sep 2010
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Handle: RePEc:nbr:nberwo:16354

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Cited by:
  1. Girma, Hiywot Menker & Hassan, Rashid M., 2014. "Drivers of land-use change in the Southern Nations, Nationalities and People’s Region of Ethiopia," African Journal of Agricultural and Resource Economics, African Association of Agricultural Economists, vol. 9(2), April.
  2. 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.
  3. 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.
  4. 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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