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Modeling Differences in Counted Outcomes Using Bivariate Copula Models: With Application to Mismeasured Counts

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Author Info
Cameron, A. Colin (U of California, Davis)
Li, Tong (U of California, Davis)
Trivedi, Pravin K. (Indiana U)
Zimmer, David M. (Indiana U)

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Abstract

This paper makes three contributions. First, it uses copula functions to obtain a flexible bivariate parametric model for nonnegative integer-valued data (counts). Second, it recovers the distribution of the difference in the two counts from a specified bivariate count distribution. Third, the methods are applied to counts that are measured with error. Specifically we model the determinants of the difference between the self-reported number of doctor visits (measured with error) and true number of doctor visits (also available in the data used).

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Paper provided by University of California at Davis, Department of Economics in its series Working Papers with number 04-3.

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Date of creation: Apr 2004
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Handle: RePEc:ecl:ucdeco:04-3

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  1. Capéraà, Philippe & Fougères, Anne-Laure & Genest, Christian, 2000. "Bivariate Distributions with Given Extreme Value Attractor," Journal of Multivariate Analysis, Elsevier, vol. 72(1), pages 30-49, January. [Downloadable!] (restricted)
  2. Lee, Lung-Fei, 1983. "Generalized Econometric Models with Selectivity," Econometrica, Econometric Society, vol. 51(2), pages 507-12, March. [Downloadable!] (restricted)
  3. Li, Tong, 2002. "Robust and consistent estimation of nonlinear errors-in-variables models," Journal of Econometrics, Elsevier, vol. 110(1), pages 1-26, September. [Downloadable!] (restricted)
  4. 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)
  5. Gourieroux, Christian & Monfort, Alain & Trognon, Alain, 1984. "Pseudo Maximum Likelihood Methods: Applications to Poisson Models," Econometrica, Econometric Society, vol. 52(3), pages 701-20, May. [Downloadable!] (restricted)
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  6. Elisabet Berglund & Kurt Brännäs, 2001. "Plants' entry and exit in Swedish municipalities," The Annals of Regional Science, Springer, vol. 35(3), pages 431-448. [Downloadable!] (restricted)
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  7. Murat K. Munkin & Pravin K. Trivedi, 1999. "Simulated maximum likelihood estimation of multivariate mixed-Poisson regression models, with application," Econometrics Journal, Royal Economic Society, vol. 2(1), pages 29-48.
  8. Hausman, Jerry A. & Lo, Andrew W. & MacKinlay, A. Craig, 1992. "An ordered probit analysis of transaction stock prices," Journal of Financial Economics, Elsevier, vol. 31(3), pages 319-379, June. [Downloadable!] (restricted)
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  9. Miller, Douglas J. & Liu, Wei-han, 2002. "On the recovery of joint distributions from limited information," Journal of Econometrics, Elsevier, vol. 107(1-2), pages 259-274, March. [Downloadable!] (restricted)
  10. Chib, Siddhartha & Winkelmann, Rainer, 2001. "Markov Chain Monte Carlo Analysis of Correlated Count Data," Journal of Business & Economic Statistics, American Statistical Association, vol. 19(4), pages 428-35, October.
  11. van Ophem, Hans, 1999. "A General Method To Estimate Correlated Discrete Random Variables," Econometric Theory, Cambridge University Press, vol. 15(02), pages 228-237, April. [Downloadable!]
  12. 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!]
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(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. David Zimmer, 2008. "The Effect of the Consolidated Omnibus Reconciliation Act of 1985 on Health Care Utilization of Employment Separators," Contributions to Economic Analysis & Policy, Berkeley Electronic Press, vol. 8(2), pages 1840-1840. [Downloadable!] (restricted)
  2. Fei Liu & David Zimmer, 2006. "The Effect of Switching Private Insurance Plans on Health Care Utilization," Contributions to Economic Analysis & Policy, Berkeley Electronic Press, vol. 5(1), pages 1566-1566. [Downloadable!] (restricted)
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