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Identification issues in some double-index models for non-negative data

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  • Papadopoulos, Georgios
  • Santos Silva, J.M.C.

Abstract

We highlight a subtle identification problem that afflicts models for non-negative data in which the conditional expectation is specified as the product of a logit and an exponential function. The results are illustrated with an empirical model for medical expenditures.

Suggested Citation

  • Papadopoulos, Georgios & Santos Silva, J.M.C., 2012. "Identification issues in some double-index models for non-negative data," Economics Letters, Elsevier, vol. 117(1), pages 365-367.
    • Handle: RePEc:eee:ecolet:v:117:y:2012:i:1:p:365-367
    DOI: 10.1016/j.econlet.2012.06.001
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    References listed on IDEAS

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    1. Mullahy, John, 1998. "Much ado about two: reconsidering retransformation and the two-part model in health econometrics," Journal of Health Economics, Elsevier, vol. 17(3), pages 247-281, June.
    2. Papadopoulos, Georgios & Santos Silva, Joao M C, 2008. "Identification issues in models for underreported counts," Economics Discussion Papers 3552, University of Essex, Department of Economics.
    3. John Mullahy, 1998. "Much Ado About Two: Reconsidering Retransformation and the Two-Part Model in Health Economics," NBER Technical Working Papers 0228, National Bureau of Economic Research, Inc.
    4. Mullahy, John, 1986. "Specification and testing of some modified count data models," Journal of Econometrics, Elsevier, vol. 33(3), pages 341-365, December.
    5. Rainer Winkelmann, 2008. "Econometric Analysis of Count Data," Springer Books, Springer, edition 0, number 978-3-540-78389-3, September.
    6. Feinstein, Jonathan S, 1989. "The Safety Regulation of U.S. Nuclear Power Plants: Violations, Inspections, and Abnormal Occurrences," Journal of Political Economy, University of Chicago Press, vol. 97(1), pages 115-154, February.
    7. White, Halbert, 1982. "Maximum Likelihood Estimation of Misspecified Models," Econometrica, Econometric Society, vol. 50(1), pages 1-25, January.
    8. Partha Deb & Murat K. Munkin & Pravin K. Trivedi, 2006. "Bayesian analysis of the two‐part model with endogeneity: application to health care expenditure," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(7), pages 1081-1099, November.
    9. Duan, Naihua, et al, 1983. "A Comparison of Alternative Models for the Demand for Medical Care," Journal of Business & Economic Statistics, American Statistical Association, vol. 1(2), pages 115-126, April.
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    Cited by:

    1. Vidhura Tennekoon, 2017. "Counting unreported abortions: A binomial-thinned zero-inflated Poisson model," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 36(2), pages 41-72.
    2. Enrique Sentana, 2015. "Finite Underidentification," Working Papers wp2015_1508, CEMFI.

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    More about this item

    Keywords

    Poisson-logit; Two-part models; Underreporting; Zero-inflated models;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation

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