A smooth nonparametric conditional quantile frontier estimator

Journal of Econometrics

Volumn 143, Issue 2, 2008, Pages 317-333

  Martins Filho, Carlos ^a   Yao, Feng ^b  

^a OREGON STATE UNIVERSITY   (United States)

^b CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Conditional quantile estimation; Nonparametric frontier; Production function

Indexed keywords

ASYMPTOTIC ANALYSIS; COMPUTATIONAL COMPLEXITY; DISTRIBUTION FUNCTIONS; MATHEMATICAL MODELS; PROBLEM SOLVING;

ASYMPTOTIC THEORY; CONDITIONAL QUANTILE ESTIMATION; NONPARAMETRIC FRONTIER; PRODUCTION FUNCTION;

COMPUTATIONAL METHODS;

EID: 39149124834     PISSN: 03044076     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jeconom.2007.10.004     Document Type: Article

References (26)

1. Aragon Y., Daouia A., and Thomas-Agnan C. Nonparametric frontier estimation: a conditional quantile-based approach. Econometric Theory 21 (2005) 358-389
2. Azzalini A. A note on the estimation of a distribution function and quantiles by a kernel method. Biometrika 68 (1981) 326-328
3. Bowman A., Hall P., and Prvan T. Bandwidth selection for the smoothing of distribution functions. Biometrika 85 (1998) 799-808
4. Cazals C., Florens J.P., and Simar L. Nonparametric frontier estimation: a robust approach. Journal of Econometrics 106 (2002) 1-25
5. Christensen L.R., and Greene W.H. Economies of scale in U.S. electric power generation. Journal of Political Economy 84 (1976) 655-676
6. Falk M. Asymptotic normality of the kernel quantile estimator. The Annals of Statistics 13 (1985) 428-433
7. Fan J., and Gijbels I. Data driven bandwidth selection in local polynomial fitting: variable bandwidth and spatial adaptation. Journal of the Royal Statistical Society B 57 (1995) 371-394
8. Farrell M. The measurement of productive efficiency. Journal of the Royal Statistical Society A 120 (1957) 253-290
9. Gijbels I., Mammen E., Park B., and Simar L. On estimation of monotone and concave frontier functions. Journal of the American Statistical Association 94 (1999) 220-228
10. Girard S., and Jacob P. Extreme values and kernel estimates of point processes boundaries. ESAIM: Probability and Statistics 8 (2004) 150-168
11. Greene W.H. A gamma-distributed stochastic frontier model. Journal of Econometrics 46 (1990) 141-163
12. Hall P., Park B., and Stern S. On polynomial estimators of frontiers and boundaries. Journal of Multivariate Analysis 66 (1998) 71-98
13. Hansen, B., 2004a. Bandwidth selection for nonparametric distribution estimation. Working paper, Department of Economics, University of Wisconsin, Madison.
14. Hansen, B., 2004b. Nonparametric estimation of smooth conditional distributions. Working paper, Department of Economics, University of Wisconsin, Madison.
15. Jones M.C. On kernel density derivative estimation. Communications in Statistics-Theory and Methods 23 8 (1994) 2133-2139
16. Kincaid D., and Cheney W. Numerical Analysis. second ed (1996), Brooks/Cole Publishing Company, Pacific Grove, CA
17. Knight K. Limiting distributions of linear programming estimators. Extremes 4 (2001) 87-103
18. Li, Q., Racine, J., 2005. Nonparametric estimation of conditional CDF and quantile functions with mixed categorical and continuous data. Journal of Business and Economic Statistics, in press.
19. Martins-Filho, C., Yao, F., 2007a. Nonparametric frontier estimation via local linear regression. Journal of Econometrics 141, 283-319.
20. Martins-Filho, C., Yao, F., 2007b. A smooth nonparametric conditional quantile frontier estimator: proofs and extended Monte Carlo simulations, Department of Economics, Oregon State University, 〈http://oregonstate.edu/∼martinsc/martins-filho-yao(06).pdf〉.
21. Nadaraya E. Some new estimate for distribution functions. Theory of Probability and Applications 15 (1964) 497-500
22. Park B.U., Simar L., and Weiner C. The FDH estimator for productivity efficiency scores. Econometric Theory 16 (2000) 855-877
23. Ruppert D., Sheather S.J., and Wand M.P. An effective bandwidth selector for local least squares regression. Journal of the American Statistical Association 90 (1995) 1257-1270
24. Silverman B.W. Density Estimation for Statistics and Data Analysis (1986), Chapman & Hall, London
25. Simar L., and Wilson P. Statistical inference in nonparametric frontier models: recent developments and perspectives. In: Fried H., Lovell C.A.K., and Schmidt S.S. (Eds). The Measurement of Productive Efficiency. second ed. (2006), Oxford University Press, Oxford
26. Yang S. A smooth nonparametric estimator of a quantile function. Journal of the American Statistical Association 80 (1985) 1004-1011