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Counts with an endogenous binary regressor: A series expansion approach

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Andrés Romeu
Marcos Vera-Hernández

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Abstract

We propose an estimator for count data regression models where a binary regressor is endogenously determined. This estimator departs from previous approaches by using a flexible form for the conditional probability function of the counts. Using a Monte Carlo experiment we show that our estimator improves the fit and provides a more reliable estimate of the impact of regressors on the count when compared to alternatives which do restrict the mean to be linear-exponential. In an application to the number of trips by households in the United States, we find that the estimate of the treatment effect obtained is considerably different from the one obtained under a linear-exponential mean specification. Copyright 2005 Royal Economic Society

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File URL: http://www.blackwell-synergy.com/doi/abs/10.1111/j.1368-423X.2005.00148.x
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Publisher Info
Article provided by Royal Economic Society in its journal The Econometrics Journal.

Volume (Year): 8 (2005)
Issue (Month): 1 (03)
Pages: 1-22
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Handle: RePEc:ect:emjrnl:v:8:y:2005:i:1:p:1-22

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References listed on IDEAS
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.:
  1. Martin Schellhorn, 2001. "The effect of variable health insurance deductibles on the demand for physician visits," Health Economics, John Wiley & Sons, Ltd., vol. 10(5), pages 441-456. [Downloadable!]
  2. Gallant, A. Ronald & Tauchen, George, 1997. "Estimation Of Continuous-Time Models For Stock Returns And Interest Rates," Macroeconomic Dynamics, Cambridge University Press, vol. 1(01), pages 135-168, January. [Downloadable!]
  3. Andrews, Donald W. K., 1988. "Chi-square diagnostic tests for econometric models : Introduction and applications," Journal of Econometrics, Elsevier, vol. 37(1), pages 135-156, January. [Downloadable!] (restricted)
  4. Ángel Marcos Vera-Hernández, 1999. "Duplicate coverage and demand for health care. The case of Catalonia," Health Economics, John Wiley & Sons, Ltd., vol. 8(7), pages 579-598.
  5. Goffe, William L. & Ferrier, Gary D. & Rogers, John, 1994. "Global optimization of statistical functions with simulated annealing," Journal of Econometrics, Elsevier, vol. 60(1-2), pages 65-99. [Downloadable!] (restricted)
  6. Cameron, A Colin & Johansson, Per, 1997. "Count Data Regression Using Series Expansions: With Applications," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(3), pages 203-23, May-June. [Downloadable!]
  7. Donald S. Kenkel & Joseph V. Terza, 2001. "The effect of physician advice on alcohol consumption: count regression with an endogenous treatment effect," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 16(2), pages 165-184. [Downloadable!]
  8. Deb, Partha & Trivedi, Pravin K, 1997. "Demand for Medical Care by the Elderly: A Finite Mixture Approach," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(3), pages 313-36, May-June. [Downloadable!]
  9. Manning, Willard G. & Mullahy, John, 2001. "Estimating log models: to transform or not to transform?," Journal of Health Economics, Elsevier, vol. 20(4), pages 461-494, July. [Downloadable!] (restricted)
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  10. Gurmu, Shiferaw & Trivedi, Pravin K, 1996. "Excess Zeros in Count Models for Recreational Trips," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(4), pages 469-77, October.
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Cited by:
(explanations, 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.)

  1. Kevin E. Staub, 2009. "Simple tests for exogeneity of a binary explanatory variable in count data regression models," Working Papers 0904, University of Zurich, Socioeconomic Institute. [Downloadable!]
  2. Matilde P. Machado, & Ricardo Mora & Antonio Romero- Medina, 2006. "A Methodology To Measure Hospital Quality Using Physicians' Choices Over Training Vacancies," Economics Working Papers we060201, Universidad Carlos III, Departamento de Economía. [Downloadable!]
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