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Exponential Regression of Fractional-Response Fixed-Effects Models with an Application to Firm Capital Structure

Author

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  • Ramalho Esmeralda A.

    (Department of Economics and CEFAGE-UE, Universidade de Evora, Évora, Portugal)

  • Ramalho Joaquim J.S.

    (Department of Economics and CEFAGE-UE, Universidade de Évora, Largo dos Colegiais, 7000-803 É VORA, Portugal)

  • Coelho Luís M.S.

    (Faculty of Economics,Universidade do Algarve and CEFAGE-UE, Faro, Portugal)

Abstract

New fixed-effects estimators are proposed for logit and complementary loglog fractional regression models. The standard specifications of these models are transformed into a form of exponential regression with multiplicative individual effects and time-variant heterogeneity, from which four alternative estimators that do not require assumptions on the distribution of the unobservables are proposed. All new estimators are robust to both time-variant and time-invariant heterogeneity and can accomodate fractional responses with observations at the boundary value of zero. Additionally, some of these estimators can be applied to dynamic panel data models and can accommodate endogenous explanatory variables without requiring the specification of a reduced form model. A Monte Carlo study and an application to firm capital structure choices illustrate the usefulness of the suggested estimators.

Suggested Citation

  • Ramalho Esmeralda A. & Ramalho Joaquim J.S. & Coelho Luís M.S., 2018. "Exponential Regression of Fractional-Response Fixed-Effects Models with an Application to Firm Capital Structure," Journal of Econometric Methods, De Gruyter, vol. 7(1), pages 1-18, January.
    • Handle: RePEc:bpj:jecome:v:7:y:2018:i:1:p:18:n:4
    DOI: 10.1515/jem-2015-0019
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    References listed on IDEAS

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    1. Elsas, Ralf & Florysiak, David, 2015. "Dynamic Capital Structure Adjustment and the Impact of Fractional Dependent Variables," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 50(5), pages 1105-1133, October.
    2. James J. Heckman, 2001. "Micro Data, Heterogeneity, and the Evaluation of Public Policy: Nobel Lecture," Journal of Political Economy, University of Chicago Press, vol. 109(4), pages 673-748, August.
    3. Esmeralda Ramalho & Joaquim Ramalho & Pedro Henriques, 2010. "Fractional regression models for second stage DEA efficiency analyses," Journal of Productivity Analysis, Springer, vol. 34(3), pages 239-255, December.
    4. Myers, Stewart C. & Majluf, Nicholas S., 1984. "Corporate financing and investment decisions when firms have information that investors do not have," Journal of Financial Economics, Elsevier, vol. 13(2), pages 187-221, June.
    5. Stewart C. Myers & Nicholas S. Majluf, 1984. "Corporate Financing and Investment Decisions When Firms Have InformationThat Investors Do Not Have," NBER Working Papers 1396, National Bureau of Economic Research, Inc.
    6. Joaquim J.S. Ramalho & Jacinto Vidigal da Silva, 2009. "A two-part fractional regression model for the financial leverage decisions of micro, small, medium and large firms," Quantitative Finance, Taylor & Francis Journals, vol. 9(5), pages 621-636.
    7. Wooldridge, Jeffrey M., 1997. "Multiplicative Panel Data Models Without the Strict Exogeneity Assumption," Econometric Theory, Cambridge University Press, vol. 13(5), pages 667-678, October.
    8. 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.
    9. John Mullahy, 1997. "Instrumental-Variable Estimation Of Count Data Models: Applications To Models Of Cigarette Smoking Behavior," The Review of Economics and Statistics, MIT Press, vol. 79(4), pages 586-593, November.
    10. 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 619-632, Nov.-Dec..
    11. Loudermilk, Margaret S., 2007. "Estimation of Fractional Dependent Variables in Dynamic Panel Data Models With an Application to Firm Dividend Policy," Journal of Business & Economic Statistics, American Statistical Association, vol. 25, pages 462-472, October.
    12. Kayhan, Ayla & Titman, Sheridan, 2007. "Firms' histories and their capital structures," Journal of Financial Economics, Elsevier, vol. 83(1), pages 1-32, January.
    13. 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, February.
    14. Mark T. Leary & Michael R. Roberts, 2005. "Do Firms Rebalance Their Capital Structures?," Journal of Finance, American Finance Association, vol. 60(6), pages 2575-2619, December.
    15. Graham, John R. & Harvey, Campbell R., 2001. "The theory and practice of corporate finance: evidence from the field," Journal of Financial Economics, Elsevier, vol. 60(2-3), pages 187-243, May.
    16. James J. Heckman, 2000. "Causal Parameters and Policy Analysis in Economics: A Twentieth Century Retrospective," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 115(1), pages 45-97.
    17. László Mátyás & Patrick Sevestre (ed.), 2008. "The Econometrics of Panel Data," Advanced Studies in Theoretical and Applied Econometrics, Springer, number 978-3-540-75892-1, July-Dece.
    18. Windmeijer, Frank, 2000. "Moment conditions for fixed effects count data models with endogenous regressors," Economics Letters, Elsevier, vol. 68(1), pages 21-24, July.
    19. Hausman, Jerry A & Leonard, Gregory K, 1997. "Superstars in the National Basketball Association: Economic Value and Policy," Journal of Labor Economics, University of Chicago Press, vol. 15(4), pages 586-624, October.
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    More about this item

    Keywords

    dynamic models; endogeneity; exponential regression; fixed effects; fractional responses; heterogeneity; panel data;
    All these keywords.

    JEL classification:

    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models

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