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Counts with an endogenous binary regressor: A series expansion approach

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  • Andrés Romeu
  • Marcos Vera-Hernández

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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  • Andrés Romeu & Marcos Vera-Hernández, 2005. "Counts with an endogenous binary regressor: A series expansion approach," Econometrics Journal, Royal Economic Society, vol. 8(1), pages 1-22, March.
    • Handle: RePEc:ect:emjrnl:v:8:y:2005:i:1:p:1-22
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    2. Canan GÜNEŞ & Mustafa ÜNLÜ & Yasin BÜYÜKKÖR & Şenay ÜÇDOĞRUK BİRECİKLİ, 2016. "Türkiye’de Sağlık Hizmetleri Talebinin Sayma Veri Modelleriyle İncelenmesi: İçsellik Sorunu," Sosyoekonomi Journal, Sosyoekonomi Society, issue 24(30).
    3. Machado, Matilde P. & Mora, Ricardo & Romero-Medina, Antonio, 2006. "A methodology to measure hospital quality using physicians' choices over training vacancies," UC3M Working papers. Economics we060201, Universidad Carlos III de Madrid. Departamento de Economía.
    4. Kevin E. Staub, 2009. "Simple tests for exogeneity of a binary explanatory variable in count data regression models," SOI - Working Papers 0904, Socioeconomic Institute - University of Zurich.
    5. Paulo Arvate & Vladimir Ponczek, 2008. "Municipality secession, voter’s preference and persistence of power," Working Papers 08_07, Universidade de São Paulo, Faculdade de Economia, Administração e Contabilidade de Ribeirão Preto.
    6. Toni Mora, 2008. "The relevance of satisfaction with coverage for health care utilization: evidence from Catalonia," Hacienda Pública Española / Review of Public Economics, IEF, vol. 184(1), pages 99-116, April.
    7. Burda, Martin & Harding, Matthew & Hausman, Jerry, 2012. "A Poisson mixture model of discrete choice," Journal of Econometrics, Elsevier, vol. 166(2), pages 184-203.
    8. Hiroaki Masuhara, 2008. "Semi-nonparametric count data estimation with an endogenous binary variable," Economics Bulletin, AccessEcon, vol. 3(42), pages 1-13.

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    JEL classification:

    • C35 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection

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