Semiparametric Bayesian inference in multiple equation models

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Semiparametric Bayesian inference in multiple equation models

Author Info

Dale J. Poirier (Department of Economics, University of California at Irvine, Irvine, CA, USA)
Gary Koop (Department of Economics, University of Leicester, Leicester, UK)
Justin Tobias

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Abstract

This paper outlines an approach to Bayesian semiparametric regression in multiple equation models which can be used to carry out inference in seemingly unrelated regressions or simultaneous equations models with nonparametric components. The approach treats the points on each nonparametric regression line as unknown parameters and uses a prior on the degree of smoothness of each line to ensure valid posterior inference despite the fact that the number of parameters is greater than the number of observations. We develop an empirical Bayesian approach that allows us to estimate the prior smoothing hyperparameters from the data. An advantage of our semiparametric model is that it is written as a seemingly unrelated regressions model with independent normal-Wishart prior. Since this model is a common one, textbook results for posterior inference, model comparison, prediction and posterior computation are immediately available. We use this model in an application involving a two-equation structural model drawn from the labour and returns to schooling literatures. Copyright © 2005 John Wiley & Sons, Ltd.

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Article provided by John Wiley & Sons, Ltd. in its journal Journal of Applied Econometrics.

Volume (Year): 20 (2005)
Issue (Month): 6 ()
Pages: 723-747
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Handle: RePEc:jae:japmet:v:20:y:2005:i:6:p:723-747

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Paper
- Koop, Gary & Poirier, Dale J & Tobias, Justin, 2004. "Semiparametric Bayesian Inference in Multiple Equation Models," Staff General Research Papers 12009, Iowa State University, Department of Economics.

References listed on IDEAS
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Audrey Light & Kathleen McGarry, 1998. "Job Change Patterns And The Wages Of Young Men," The Review of Economics and Statistics, MIT Press, vol. 80(2), pages 276-286, May. [Downloadable!] (restricted)
Light, Audrey, 1998. "Estimating Returns to Schooling: When Does the Career Begin?," Economics of Education Review, Elsevier, vol. 17(1), pages 31-45, February. [Downloadable!] (restricted)
Darolles, Serge & Florens, Jean-Pierre & Renault, Eric, 2003. "Non Parametric Instrumental Regression," IDEI Working Papers 228, Institut d'Économie Industrielle (IDEI), Toulouse. [Downloadable!]
Other versions:
- Darolles, S. & Florens, J.-P. & Renault, É., 2002. "Nonparametric Instrumental Regression," Cahiers de recherche 05-2002, Centre interuniversitaire de recherche en économie quantitative, CIREQ. [Downloadable!]
- Serge Darolles ; Jean-Pierre Florens ; Eric Renault, 2000. "Nonparametric Instrumental Regression," Working Papers 2000-17, Centre de Recherche en Economie et Statistique. [Downloadable!]
- DAROLLES, Serge & FLORENS, Jean-Pierre & RENAULT, Éric, 2002. "Nonparametric Instrumental Regression," Cahiers de recherche 2002-05, Universite de Montreal, Departement de sciences economiques. [Downloadable!]
McKinley L. Blackburn & David Neumark, 1993. "Are OLS Estimates of the Return to Schooling Biased Downward? Another Look," NBER Working Papers 4259, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
Other versions:
- Blackburn, McKinley L & Neumark, David, 1995. "Are OLS Estimates of the Return to Schooling Biased Downward? Another Look," The Review of Economics and Statistics, MIT Press, vol. 77(2), pages 217-30, May. [Downloadable!] (restricted)
Koop, Gary & Poirier, Dale J., 2004. "Bayesian variants of some classical semiparametric regression techniques," Journal of Econometrics, Elsevier, vol. 123(2), pages 259-282, December. [Downloadable!] (restricted)
Other versions:
- Koop, G. & Poirier, D., 2000. "Bayesian Variants of Some Classical Semiparametric Regression Techniques," Papers 00-01-22, California Irvine - School of Social Sciences.
- Gary Koop & Dale J. Poirer, 2004. "Bayesian Variants of Some classical Semiparametric Regression Techniques," ESE Discussion Papers 73, Edinburgh School of Economics, University of Edinburgh. [Downloadable!]
Kleibergen, Frank & van Dijk, Herman K., 1998. "Bayesian Simultaneous Equations Analysis Using Reduced Rank Structures," Econometric Theory, Cambridge University Press, vol. 14(06), pages 701-743, December. [Downloadable!]
Other versions:
- Kleibergen, F. & Van Dijk, H.K., 1997. "Bayesian Simultaneous Equations Analysis Using Reduced Rank Structures," Papers 9714/a, Erasmus University of Rotterdam - Econometric Institute.
- Kleibergen, F.R. & Dijk, H.K. van, 1997. "Bayesian Simultaneous Equations Analysis using Reduced Rank Structures," Econometric Institute Report EI 9714-/A Revision_Date:, Erasmus University Rotterdam, Econometric Institute. [Downloadable!]
- Kleibergen, Frank & Dijk, Herman K. van, 1996. "Bayesian simultaneous equations analysis using reduced rank structures," Econometric Institute Report 47, Erasmus University Rotterdam, Econometric Institute. [Downloadable!]
Kleibergen, Frank & Zivot, Eric, 2003. "Bayesian and classical approaches to instrumental variable regression," Journal of Econometrics, Elsevier, vol. 114(1), pages 29-72, May. [Downloadable!] (restricted)
Other versions:
- Kleibergen, F. & Zivot, E., 1998. "Bayesian and Classical Approaches to Instrumental Variable Regression," Papers 9835/a, Erasmus University of Rotterdam - Econometric Institute.
- Kleibergen, F.R. & Zivot, E., 1998. "Bayesian and classical approaches to instrumental variable regression," Econometric Institute Report EI 9835 Revision_Date: 20, Erasmus University Rotterdam, Econometric Institute. [Downloadable!]
- Frank Kleibergen & Eric Zivot, 2003. "Bayesian and Classical Approaches to Instrumental Variable Regression," Working Papers UWEC-2002-21-P, University of Washington, Department of Economics.
- Frank Kleibergen & Eric Zivot, 1998. "Bayesian and Classical Approaches to Instrumental Variable Regression," Discussion Papers in Economics at the University of Washington 0063, Department of Economics at the University of Washington. [Downloadable!]
- Frank Kleibergen & Eric Zivot, 1998. "Bayesian and Classical Approaches to Instrumental Variable Regression," Working Papers 0063, University of Washington, Department of Economics.
- Frank Kleibergen & Eric Zivot, 1998. "Bayesian and Classical Approaches to Instrumental Variables Regression," Econometrics 9812002, EconWPA. [Downloadable!]
Chib, Siddhartha & Greenberg, Edward, 1995. "Hierarchical analysis of SUR models with extensions to correlated serial errors and time-varying parameter models," Journal of Econometrics, Elsevier, vol. 68(2), pages 339-360, August. [Downloadable!] (restricted)
John Cawley & James Heckman & Edward Vytlacil, 1999. "On Policies To Reward The Value Added By Educators," The Review of Economics and Statistics, MIT Press, vol. 81(4), pages 720-727, November. [Downloadable!] (restricted)
Dreze, Jacques H. & Richard, Jean-Francois, 1983. "Bayesian analysis of simultaneous equation systems," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 1, chapter 9, pages 517-598 Elsevier. [Downloadable!] (restricted)
Smith, Michael & Kohn, Robert, 2000. "Nonparametric seemingly unrelated regression," Journal of Econometrics, Elsevier, vol. 98(2), pages 257-281, October. [Downloadable!] (restricted)
Other versions:
- Smith, M. & Kohn, R., 1998. "Nonparametric Seemingly Unrelated Regression," Monash Econometrics and Business Statistics Working Papers 7/98, Monash University, Department of Econometrics and Business Statistics.
Frank Kleibergen & Herman K. van Dijk, 1998. "Bayesian Simultaneous Equations Analysis using Reduced Rank Structures," Tinbergen Institute Discussion Papers 98-025/4, Tinbergen Institute. [Downloadable!]
Adonis Yatchew, 1998. "Nonparametric Regression Techniques in Economics," Journal of Economic Literature, American Economic Association, vol. 36(2), pages 669-721, June. [Downloadable!] (restricted)
McCulloch, Robert & Rossi, Peter E., 1994. "An exact likelihood analysis of the multinomial probit model," Journal of Econometrics, Elsevier, vol. 64(1-2), pages 207-240. [Downloadable!] (restricted)
Card, David, 1999. "The causal effect of education on earnings," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 3, chapter 30, pages 1801-1863 Elsevier. [Downloadable!] (restricted)
Chib, Siddhartha & Greenberg, Edward, 1996. "Markov Chain Monte Carlo Simulation Methods in Econometrics," Econometric Theory, Cambridge University Press, vol. 12(03), pages 409-431, August. [Downloadable!]
Altonji, Joseph G & Shakotko, Robert A, 1987. "Do Wages Rise with Job Seniority?," Review of Economic Studies, Blackwell Publishing, vol. 54(3), pages 437-59, July. [Downloadable!] (restricted)
Other versions:
- Joseph G. Altonji & Robert A. Shakotko, 1985. "Do Wages Rise With Job Seniority?," NBER Working Papers 1616, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
- Joseph Altonji & R. Shakotko, 1985. "Do Wages Rise with Job Seniority?," Working Papers 567, Princeton University, Department of Economics, Industrial Relations Section.. [Downloadable!]
Whitney K. Newey & James L. Powell & Francis Vella, 1999. "Nonparametric Estimation of Triangular Simultaneous Equations Models," Econometrica, Econometric Society, vol. 67(3), pages 565-604, May.
John DiNardo & Justin L. Tobias, 2001. "Nonparametric Density and Regression Estimation," Journal of Economic Perspectives, American Economic Association, vol. 15(4), pages 11-28, Fall. [Downloadable!] (restricted)
Other versions:
- DiNardo, John & Tobias, Justin, 2004. "Nonparametric Density and Regression Estimation," Staff General Research Papers 12020, Iowa State University, Department of Economics.
repec:cup:etheor:v:12:y:1996:i:3:p:409-31 is not listed on IDEAS
Topel, Robert H, 1991. "Specific Capital, Mobility, and Wages: Wages Rise with Job Seniority," Journal of Political Economy, University of Chicago Press, vol. 99(1), pages 145-76, February. [Downloadable!] (restricted)
Other versions:
- Robert H. Topel, 1990. "Specific Capital, Mobility, and Wages: Wages Rise with Job Seniority," NBER Working Papers 3294, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
Fernandez, Carmen & Osiewalski, Jacek & Steel, Mark F. J., 1997. "On the use of panel data in stochastic frontier models with improper priors," Journal of Econometrics, Elsevier, vol. 79(1), pages 169-193, July. [Downloadable!] (restricted)
James Heckman & Edward Vytlacil, 2001. "Identifying The Role Of Cognitive Ability In Explaining The Level Of And Change In The Return To Schooling," The Review of Economics and Statistics, MIT Press, vol. 83(1), pages 1-12, February. [Downloadable!] (restricted)
Other versions:
- James Heckman & Edward Vytlacil, 2000. "Identifying the Role of Cognitive Ability in Explaining the Level of and Change in the Return to Schooling," NBER Working Papers 7820, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
Chao, J. C. & Phillips, P. C. B., 1998. "Posterior distributions in limited information analysis of the simultaneous equations model using the Jeffreys prior," Journal of Econometrics, Elsevier, vol. 87(1), pages 49-86, August. [Downloadable!] (restricted)

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