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Bayesian Variants of Some classical Semiparametric Regression Techniques

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  • Gary Koop

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  • Dale J. Poirer

Abstract

This paper develops new Bayesian methods for semiparametric inference in the partial linear Normal regression model. These methodes draw solely on teh Normal linear regression model with natural conjugate prior. Hence, analytical finite sample results are available which do not suffer form problems of theoretical and computational complexity which plague the existing literature.

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Bibliographic Info

Paper provided by Edinburgh School of Economics, University of Edinburgh in its series ESE Discussion Papers with number 73.

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Length: 41
Date of creation: Mar 2004
Date of revision:
Handle: RePEc:edn:esedps:73

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References

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  1. Matzkin, Rosa L., 1986. "Restrictions of economic theory in nonparametric methods," Handbook of Econometrics, in: R. F. Engle & D. McFadden (ed.), Handbook of Econometrics, edition 1, volume 4, chapter 42, pages 2523-2558 Elsevier.
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  4. Bauwens, Luc, 1991. "The "pathology" of the natural conjugate prior density in the regression model," Open Access publications from Université catholique de Louvain info:hdl:2078.1/73957, Université catholique de Louvain.
  5. 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.
  6. 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.
  7. Shiller, Robert J, 1973. "A Distributed Lag Estimator Derived from Smoothness Priors," Econometrica, Econometric Society, vol. 41(4), pages 775-88, July.
  8. Poirier, Dale J., 1998. "Revising Beliefs In Nonidentified Models," Econometric Theory, Cambridge University Press, vol. 14(04), pages 483-509, August.
  9. Leamer, Edward E, 1982. "Sets of Posterior Means with Bounded Variance Priors," Econometrica, Econometric Society, vol. 50(3), pages 725-36, May.
  10. John F. Geweke & Michael P. Keane, 1997. "Mixture of normals probit models," Staff Report 237, Federal Reserve Bank of Minneapolis.
  11. Adonis Yatchew, 1998. "Nonparametric Regression Techniques in Economics," Journal of Economic Literature, American Economic Association, vol. 36(2), pages 669-721, June.
  12. John Xu Zheng, 1996. "A consistent test of functional form via nonparametric estimation techniques," Journal of Econometrics, Elsevier, vol. 75(2), pages 263-289, December.
  13. Dale J. Poirier, 1995. "Intermediate Statistics and Econometrics: A Comparative Approach," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262161494.
  14. Iwata, Shigeru, 1996. "Bounding posterior means by model criticism," Journal of Econometrics, Elsevier, vol. 75(2), pages 239-261, December.
  15. Hong, Yongmiao & White, Halbert, 1995. "Consistent Specification Testing via Nonparametric Series Regression," Econometrica, Econometric Society, vol. 63(5), pages 1133-59, September.
  16. Chib, Siddhartha, 1992. "Bayes inference in the Tobit censored regression model," Journal of Econometrics, Elsevier, vol. 51(1-2), pages 79-99.
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Citations

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Cited by:
  1. Scott E. Atkinson & Jeffrey H. Dorfman, 2009. "Feasible estimation of firm-specific allocative inefficiency through Bayesian numerical methods," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 24(4), pages 675-697.
  2. Gary Koop & Simon Potter, 2010. "A flexible approach to parametric inference in nonlinear and time varying time series models," Post-Print peer-00732535, HAL.
  3. Pholo Bala, Alain, 2009. "Urban concentration and economic growth: checking for specific regional effects," CORE Discussion Papers 2009038, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  4. Li, Mingliang, 2009. "Is there "white flight" into private schools? New evidence from High School and Beyond," Economics of Education Review, Elsevier, vol. 28(3), pages 382-392, June.
  5. Chen, Mei-ping & Lee, Chien-Chiang & Hsu, Yi-Chung, 2011. "The impact of American depositary receipts on the Japanese index: Do industry effect and size effect matter?," Economic Modelling, Elsevier, vol. 28(1), pages 526-539.
  6. Brownstone, David, 2001. "Discrete Choice Modeling for Transportation," University of California Transportation Center, Working Papers qt29v7d1pk, University of California Transportation Center.
  7. Koop, Gary M & Tobias, Justin, 2006. "Semiparametric Bayesian Inference in Smooth Coefficient Models," Staff General Research Papers 12202, Iowa State University, Department of Economics.
  8. Dorfman, Jeffrey H. & Patridge, Mark D. & Galloway, Hamilton, 2008. "Are High-Tech Employment and Natural Amenities Linked?: Answers from a Smoothed Bayesian Spatial Model," 2008 Annual Meeting, July 27-29, 2008, Orlando, Florida 6459, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
  9. Brendan Kline & Justin L. Tobias, 2008. "The wages of BMI: Bayesian analysis of a skewed treatment-response model with nonparametric endogeneity," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 23(6), pages 767-793.
  10. Bacolod, Marigee & Tobias, Justin, 2005. "Schools, School Quality and Academic Achievement: Evidence from the Philippines," Staff General Research Papers 12249, Iowa State University, Department of Economics.
  11. Gianni Amisano & Maria Letizia Giorgetti, 2005. "Entry in Pharmaceutical submarkets: A Bayesian Panel Probit Approach," Working Papers ubs0511, University of Brescia, Department of Economics.
  12. Bacolod, Marigee P. & Tobias, Justin L., 2006. "Schools, school quality and achievement growth: Evidence from the Philippines," Economics of Education Review, Elsevier, vol. 25(6), pages 619-632, December.
  13. Zheng, Xiaoyong, 2008. "Semiparametric Bayesian estimation of mixed count regression models," Economics Letters, Elsevier, vol. 100(3), pages 435-438, September.
  14. Jim E. Griffin & Mark F.J. Steel, 2002. "Semiparametric Bayesian Inference for Stochastic Frontier Models," Econometrics 0209001, EconWPA, revised 18 Sep 2002.
  15. Panagiotelis, Anastasios & Smith, Michael, 2008. "Bayesian identification, selection and estimation of semiparametric functions in high-dimensional additive models," Journal of Econometrics, Elsevier, vol. 143(2), pages 291-316, April.
  16. Koop, Gary M & Poirier, Dale J & Tobias, Justin, 2005. "Semiparametric Bayesian Inference in Multiple Equation Models," Staff General Research Papers 12009, Iowa State University, Department of Economics.
  17. Huang, Ho-Chuan (River) & Lin, Shu-Chin, 2007. "Semiparametric Bayesian inference of the Kuznets hypothesis," Journal of Development Economics, Elsevier, vol. 83(2), pages 491-505, July.
  18. Priya Ranjan & Justin L. Tobias, 2007. "Bayesian inference for the gravity model," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(4), pages 817-838.

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