Remember Me
Or use your Academic/Social account:


Or use your Academic/Social account:


You have just completed your registration at OpenAire.

Before you can login to the site, you will need to activate your account. An e-mail will be sent to you with the proper instructions.


Please note that this site is currently undergoing Beta testing.
Any new content you create is not guaranteed to be present to the final version of the site upon release.

Thank you for your patience,
OpenAire Dev Team.

Close This Message


Verify Password:
Verify E-mail:
*All Fields Are Required.
Please Verify You Are Human:
fbtwitterlinkedinvimeoflicker grey 14rssslideshare1
Sun, Kai (2015)
Languages: English
Types: Article
This paper proposes a constrained nonparametric method of estimating an input distance function. A regression function is estimated via kernel methods without functional form assumptions. To guarantee that the estimated input distance function satisfies its properties, monotonicity constraints are imposed on the regression surface via the constraint weighted bootstrapping method borrowed from statistics literature. The first, second, and cross partial analytical derivatives of the estimated input distance function are derived, and thus the elasticities measuring input substitutability can be computed from them. The method is then applied to a cross-section of 3,249 Norwegian timber producers.
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

    • Berndt E, Christensen L (1973) The translog function and the substitution of equipment, structures, and labor in U.S. manufacturing 1929-68. Journal of Econometrics 1(1):81-113
    • Berwin A, Weingessel A (2011) quadprog: Functions to solve Quadratic Programming Problems.
    • Blackorby C, Russell R (1981) The Morishima elasticity of substitution: Symmetry, constancy, separability, and its relationship to the Hicks and Allen elasticities. Review of Economic Studies 48:147-158
    • Coelli T, Perelman S (1999) A comparison of parametric and non-parametric distance functions: With application to European railways. European Journal of Operations Research 117:326-339
    • Cuesta R, Lovell C, Zofio J (2009) Environmental efficiency measurement with translog distance functions: A parametric approach. Ecological Economics 68:2232-2242
    • Du P, Parmeter C, Racine J (2013) Constrained nonparametric kernel regression: Estimation and inference. Statistica Sinica, forthcoming
    • F¨are R, Primont D (1995) Multi-output Production and Duality: Theory and Applications. Kluwer Academic Publishers, Boston
    • F¨are R, Grosskopf S, Lovell C (1985) The Measurement of Efficiency of Production. Kluwer Academic Publishers, Boston
    • F¨are R, Grosskopf S, Lovell C (1994) Production Frontiers. Cambridge University Press, Cambridge
    • Grosskopf S, Hayes K, Taylor L, Webler W (1997) Budget constrained frontier measures of fiscal equality and efficiency in schooling. Review of Economics and Statistics 79:116-124
    • Hall P, Huang H (2001) Nonparametric kernel regression subject to monotonicity constraints. The Annals of Statistics 29(3):624-647
    • Hayfield T, Racine J (2008) Nonparametric econometrics: The np package. Journal of Statistical Software 27(5)
    • Henderson D (2009) A non-parametric examination of capital-skill complementarity. Oxford Bulletin of Economics and Statistics 71:519-538
    • Henningsen A, Henning C (2009) Imposing regional monotonicity on translog stochastic production frontiers with a simple three-step procedure. Journal of Productivity Analysis 32:217-229
    • Heshmati A, Kumbhakar S, Sun K (2013) Estimation of productivity in Korean electric power plants: A semiparametric smooth coefficient model. Working paper
    • Kumbhakar S, Lovell C (2000) Stochastic Frontier Analysis. Cambridge University Press, Cambridge
    • Li Q, Racine J (2004) Cross-validated local linear nonparametric regression. Statistica Sinica 14:485-512
    • Li Q, Racine J (2006) Nonparametric Econometrics: Theory and Practice. Princeton University Press, Princeton
    • Lien G, Størdal S, Baardsen S (2007) Technical efficiency in timber production and effects of other income sources. Small-scale Forestry 6:65-78
    • Lovell C, Richardson S, Travers P, Wood L (1994) Resources and functionings: A new view of inequality in Australia, Springer-Verlag, Berlin, pp 787-807. Models and Measurement of Welfare and Inequality
    • Newey W, Powell J (2003) Instrumental variable estimation of nonparametric models. Econometrica 71(5):1565-1578
    • Parmeter C, Sun K, Henderson D, Kumbhakar S (2013) Estimation and inference under economic restrictions. Journal of Productivity Analysis, forthcoming
    • R Development Core Team (2011) R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria
    • Rambaldi A, Doran H (1997) Applying linear time-varying constraints to econometric models: With an application to demand systems. Journal of Econometrics 79(1):83-95
    • Ray S (2003) Measuring scale efficiency from the translog multi-input, multi-output distance function. Department of Economics, University of Connecticut, no. 2003-25, Working papers
    • Ryan D, Wales T (2000) Imposing local concavity in the translog and generalized Leontief cost functions. Economics Letters 67:253-260
    • Shephard R (1953) Cost and Production Functions. Princeton University Press, Princeton
    • Shephard R (1970) Theory of Cost and Production Functions. Princeton University Press, Princeton
    • Stern D (2011) Elasticities of substitution and complementarity. Journal of Productivity Analysis 36(1):79-89
    • Su L, Ullah A (2008) Local polynomial estimation of nonparametric simultaneous equations models. Journal of Econometrics 144(1):193-218
    • Terrell D (1996) Incorporating monotonicity and concavity conditions in flexible functional forms. Journal of Applied Econometrics 11(2):179-194
    • The Ministry of Agriculture and Food of Norway (2007) Norwegian forests: Policy and resources. Address: Teatergata 9 (R6), Postbox. 8007 Dep. 0030 Oslo, Norway
  • No related research data.
  • No similar publications.

Share - Bookmark

Cite this article