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PL EN


2012 | 884 | 59-70

Article title

Wybrane dwuwymiarowe modele dla zmiennych licznikowych w ekonomii

Authors

Title variants

EN
Bivariate Count Data Models in Economics

Languages of publication

PL

Abstracts

EN
This paper presents an overview of selected bivariate count data regressions. I describe the properties of a standard bivariate Poisson distribution and discuss the main limitation of this model – its exclusion of a zero and negative correlation between two count variables. I then present two alternative approaches, the Poisson lognormal model and conditional Poisson model. I discuss a number of their merits and compare the properties of each of the two models that allow for a flexible correlation structure. Here I show that the practical applications of these models are not limited. Many examples demonstrate where one can use these models in various areas of economics.

Contributors

author
  • Uniwersytet Ekonomiczny w Krakowie, Katedra Ekonometrii i Badań Operacyjnych, ul. Rakowicka 27, 31-510 Krakow, Poland

References

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  • Cameron A.C., Trivedi P.K. [1998], Regression Analysis of Count Data, Cambridge University Press, New York.
  • Cameron A.C., Trivedi P.L. [2005], Microeconometrics: Methods and Application, Cambridge University Press, New York.
  • Chib S., Winkelmann R. [2001], Markov Chain Monte Carlo Analysis of Correlated Count Data, „Journal of Business and Economic Statistics”, vol. 19, nr 4.
  • Chib S., Greenberg E., Winkelmann R. [1998], Posterior Simulation and Bayes Factor in Panel Count Data Models, „Journal of Econometrics”, nr 86.
  • Greene W.H. [2007], Correlation in the Bivariate Poisson Regression Model, „Working Paper Series”, Leonard N. Stern School of Business Paper, http://ssrn.com/abstract=990011, dostęp 30.10.2010 r.
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  • Osiewalski J. [2012], Dwuwymiarowy rozkład ZIP-CP i jego momenty w analizie między zmiennymi licznikowymi [w:] Spotkania z królową nauk. Księga jubileuszowa dedykowana Profesorowi Edwardowi Smadze, red. A. Malawski, J. Tatar, Wydawnictwo Uniwersytetu Ekonomicznego w Krakowie, Kraków.
  • Polasik M., Marzec J., Fiszeder P., Górka J. [2012], Modelowanie wykorzystania metod płatności detalicznych na rynku polskim, „Materiały i Studia NBP”, nr 265, Warszawa.
  • Riphahn R.T., Wambach A. [2003], A. Million, Incentive Effects in the Demand for Health Care: A Bivariate Panel Count Data Estimation, „Journal of Applied Econometrics”, vol. 18, nr 4.
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Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.desklight-340e5600-f367-4629-9058-be1a904e267c
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