Estimation of parameters of constrained optimization models

Frontiers of Economics and Globalization

Volumn 7, Issue , 2010, Pages 1-26

  Jansson, Torbjörn ^a   Heckelei, Thomas ^b  

^a SWEDISH UNIVERSITY OF AGRICULTURAL SCIENCES   (Sweden)

^b UNIVERSITY OF BONN   (Germany)

Author keywords

Bayesian estimation; Bi level programming; Econometrics; Errors in variables; Mathematical programming

Indexed keywords

EID: 84896524837     PISSN: 15748715     EISSN: None     Source Type: Book Series    
DOI: 10.1108/S1574-8715(2010)0000007004     Document Type: Article

References (39)

1. Bard, J. (1998), Practical Bilevel Optimization. Kluwer Academic Publishers, Dordrecht.
2. Blaug, M. (1992), The Methodology of Economics, or How Economists Explain, second ed. Cambridge University Press, Cambridge, reprinted in 1997.
3. Buysse, J., Van Huylenbroeck, G., Lauwers, L. (2007), Normative, positive and econometric mathematical programming as tools for incorporation of multifunctionality in agricultural policy modelling. Agriculture, Ecosystems and Environment 120, 70-81.
4. Carroll, R., Ruppert, D., Stefanski, L. (1995), Measurement Error in Nonlinear Models. Chapman and Hall, Suffolk, Great Britain.
5. Chib, S., Greenberg, E. (1996), Markov chain Monte Carlo simulation methods in econometrics. Econometric Theory 12 (3), 409-431.
6. Clarke, B. (1996), Information optimality and Bayesian modelling. Journal of Econometrics 138, 405-429.
7. Colson, B., Marcotte, P., Savard, G. (2007), An overview of bilevel optimization. Annals of Operations Research 153, 235-256.
8. Denzau, A.T., Gibbons, P.C., Greenberg, E. (1989), Bayesian estimation of proportions with a cross-entropy prior. Communications in Statistics -Theory and Methods 18 (5), 1843-1861.
9. Ferris, M.C., Dirkse, S.P., Meeraus, A. (2005), Mathematical programs with equilibrium constraints: automatic reformulation and solution via constrained optimization. In: Kehoe, T.J., Srinivasan, T.N., Whalley, J. (Eds.), Frontiers in Applied General Equilibrium Modelling: In Honour of Herbert Scarf. Cambridge University Press, Cambridge, UK.
10. Fortuny-Amat, J., McCarl, B. (1981), A representation and economic interpretation of a two-level programming problem. The Journal of the Operational Research Society 32 (9), 783-792.
11. GAMS. (2010a), NLPEC solver manual. Available at http://www.gams.com/dd/ docs/solvers/nlpec.pdf (accessed February 2010).
12. GAMS. (2010b), GAMS -A user's guide. GAMS Development Corporation, Washington, DC, USA. Available at http://www.gams.com/dd/docs/bigdocs/ GAMSUsersGuide.pdf (accessed July 2010).
13. George, E.I. (1986), Minimax multiple shrinkage estimation. The Annals of Statistics 14 (1), 188-205.
14. Geweke, J. (1989), Bayesian inference in econometric models using Monte Carlo integration. Econometrica 51 (6), 1317-1339.
15. Golan, A., Judge, G., Robinson, S. (1994), Recovering information from incomplete or partial multisectoral economic data. The Review of Economics and Statistics 76 (3), 541-549.
16. Golan, A., Perloff, J.M., Shen, E.Z. (2001), Estimating a demand system with nonnegativity constraints: Mexican meat demand. Review of Economics and Statistics 83 (3), 541-550.
17. Hazell, P., Norton, R. (1986), Mathematical Programming for Economic Analysis in Agriculture. MacMillan, New York.
18. Heckelei, T., Mittelhammer, R., Jansson, T. (2008), A Bayesian alternative to generalized cross entropy solutions for underdetermined econometric models. Food and Resource Economics Discussion Paper 2008(2), University of Bonn.
19. Hoerl, A.E., Kennard, R.W. (1970), Ridge regression: biased estimation for nonorthogonal problems. Technometrics 12 (1), 55-67.
20. Howitt, R.E. (1995), Positive mathematical programming. American Journal of Agricultural Economics 77, 329-342.
21. Jansson, T. (2007), Econometric specification of constrained optimization models. Dissertations, Universität Bonn.
22. Jansson, T., Heckelei, T. (2009), A new estimator for trade costs and its small sample properties. Economic Modelling 26, 489-498.
23. Jaynes, E.T. (1984), Prior information and ambiguity in inverse problems. SIAM-AMS Proceedings 14, 151-166.
24. Lee, L., Pitt, M. (1986), Microeconomic demand systems with binding nonnegativity constraints: the dual approach. Econometrica 54, 1237-1242.
25. Luo, Z., Pang, J., Ralph, D. (1996), Mathematical Programs with Equilibrium Constraints. Cambridge University Press, Cambridge, UK.
26. Mittelhammer, R., Judge, G., Miller, D. (2000), Econometric Foundations. Cambridge University Press, New York.
27. Newey, W.K., McFadden, D. (1994), Large sample estimation and hypothesis testing. In: Handbook of Econometrics, vol. 4. Elsevier, Amsterdam, pp. 2111-2145.
28. Neyman, J., Scott, E. (1948), Consistent estimation from partially consistent observations. Econometrica 16, 1-32.
29. O'Sullivan, F. (1986), A statistical perspective on ill-posed inverse problems. Statistical Science 1 (4), 502-527.
30. Phaneuf, D.J., Kling, C.L., Herriges, J.A. (2000), Estimation and welfare calculations in a generalized corner solution model with an application to recreation demand. Review of Economics and Statistics 82, 83-92.
31. Ransom, M. (1985), A comment on consumer demand systems with binding nonnegativity constraints. Working Paper No. 192, Industrial relations section, Princeton University.
32. Ransom, M.R. (1987), The labor supply of married men-a switching regressions model. Journal of Labor Economics 5, 63-75.
33. Robbins, L. (1945), An Essay on the Nature and Significance of Economic Science. Macmillan, London.
34. Silverman, B.W. (1982), On the estimation of a probability density function by maximum penalized likelihood. The Annals of Statistics 19 (3), 795-810.
35. Titterington, D.M. (1984), The maximum entropy method for data analysis. Nature 312, 381-382.
36. Titterington, D.M. (1985), Common structure of smoothing techniques in statistics. International Statistical Review 53 (2), 141-170.
37. Wales, T.J., Woodland, A.D. (1983), Estimation of consumer demand systems with binding nonnegativity constraints. Journal of Econometrics 21, 263-285.
38. Yue, C., Beghin, J.C. (2009), Tariff equivalent and forgone trade effects of prohibitive technical barriers to trade. American Journal of Agricultural Economics 91 (4), 930-941.
39. Zellner, A. (1988), Optimal information processing and Bayes's theorem. The American Statistician 42 (4), 278-284.