Nonparametric efficiency analysis: A multivariate conditional quantile approach

Journal of Econometrics

Volumn 140, Issue 2, 2007, Pages 375-400

  Daouia, Abdelaati ^a   Simar, Léopold ^b  

^a UNIVERSITÉ DE TOULOUSE   (France)

^b UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

Author keywords

Conditional quantiles; Efficiency; Frontier estimation; Robust nonparametric estimators

Indexed keywords

ERROR ANALYSIS; NUMERICAL METHODS; PERTURBATION TECHNIQUES; SENSITIVITY ANALYSIS;

CONDITIONAL QUANTILES; ENVIRONMENTAL VARIABLES; FRONTIER ESTIMATION; ROBUST NONPARAMETRIC ESTIMATORS;

ECONOMIC ANALYSIS;

EID: 34547686100     PISSN: 03044076     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jeconom.2006.07.002     Document Type: Article

References (25)

1. Aragon, Y., Daouia, A., Thomas-Agnan, C., 2003. Efficiency measurement: a nonparametric approach. Discussion Paper, GREMAQ et LSP, Université de Toulouse 〈http://www.univ-tlse1.fr/GREMAQ/Statistique/mesure.pdf〉.
2. Aragon Y., Daouia A., and Thomas-Agnan C. Nonparametric frontier estimation: a conditional quantile-based approach. Econometric Theory 21 (2005) 358-389
3. Cazals C., Florens J.P., and Simar L. Nonparametric frontier estimation: a robust approach. J. Econometrics 106 (2002) 1-25
4. Daouia A. Asymptotic representation theory for nonstandard conditional quantiles. J. Nonparametric Statist. 17 2 (2005) 253-268
5. Daouia, A., Ruiz Gazen, A., 2006. Robust nonparametric frontier estimators: influence function and qualitative robustness. Statistica Sinica 16(4), to appear.
6. Daraio C., and Simar L. Introducing environmental variables in nonparametric frontier models: a probabilistic approach. J. Productiv. Anal. 24 1 (2006) 93-121
7. Daraio, C., Simar, L., 2006, A robust nonparametric approach to evaluate and explain the performance of mutual funds. European J. Oper. Res. 175(1), 516-542.
8. Deprins D., Simar L., and Tulkens H. Measuring labor inefficiency in post offices. In: Marchand M., Pestieau P., and Tulkens H. (Eds). The Performance of Public Enterprises: Concepts and Measurements (1984), Amsterdam, North-Holland 243-267
9. Farrell M.J. The measurement of productive efficiency. J. Roy. Statistical Society Ser. A 120 (1957) 253-281
10. Florens J.P., and Simar L. Parametric approximations of nonparametric frontier. J. Econometrics 124 1 (2005) 91-116
11. Ghosh J.K. A new proof of the Bahadur representation of quantiles and an application. Ann. Math. Statist. 42 (1971) 1957-1961
12. Hampel F.R. The influence curve and its role in robust estimation. J. Amer. Statist. Assoc. 69 (1974) 383-393
13. Hoeffding W. Probability inequalities for sums of bounded random variables. J. Amer. Statist. Assoc. 58 (1963) 13-30
14. Koopmans T.C. An analysis of production as an efficient combination of activities. In: Koopmans T.C. (Ed). Activity Analysis of Production and Allocation, Cowles Commission for Research in Economics, Monograph 13 (1951), Wiley, New York
15. Park B., Simar L., and Weiner Ch. The FDH estimator for productivity efficiency scores: asymptotic properties. Econometric Theory 16 (2000) 855-877
16. Rousseeuw P.J. A new infinitesimal approach to robust estimation. Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 56 (1981) 127-132
17. Sengupta J.K. Dynamic and stochastic efficiency analysis. Economics of Data Envelopment Analysis (2000), World Scientific, Singapore
18. Serfling R.J. Approximation Theorems of Mathematical Statistics (1980), Wiley, New York
19. Simar L. Detecting outliers in frontiers models: a simple approach. J. Productiv. Anal. 20 (2003) 391-424
20. Simar L., and Wilson P.W. Statistical inference in nonparametric frontier models: the state of the art. J. Productiv. Anal. 13 (2000) 49-78
21. Stute W. Asymptotic normality of nearest neighbor regression function estimates. Ann. Statist. 12 3 (1984) 917-926
22. Stute W. On almost sure convergence of conditional empirical distribution functions. Ann. Probab. 14 3 (1986) 891-901
23. Stute W. Conditional empirical processes. Ann. Statist. 14 2 (1986) 638-647
24. Wretman J. A simple derivation of the asymptotic distribution of a sample quantile. Scand. J. Statist. 5 2 (1978) 123-124
25. Yang S.S. Linear functions of concomitants of order statistics with applications to nonparametric estimation of a regression function. J. Amer. Statist. Assoc. 76 (1981) 658-662