Efficiency analysis trees: A new methodology for estimating production frontiers through decision trees

被引:63
作者
Esteve, Miriam [1 ]
Aparicio, Juan [1 ]
Rabasa, Alejandro [1 ]
Rodriguez-Sala, Jesus J. [1 ]
机构
[1] Miguel Hernandez Univ Elche UMH, Ctr Operat Res CIO, Elche 03202, Alicante, Spain
关键词
Data envelopment analysis; Frontier analysis; Free disposal hull; Overfitting; Classification and Regression Trees; DATA ENVELOPMENT ANALYSIS; MODELS;
D O I
10.1016/j.eswa.2020.113783
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, we introduce a new methodology based on regression trees for estimating production frontiers satisfying fundamental postulates of microeconomics, such as free disposability. This new approach, baptized as Efficiency Analysis Trees (EAT), shares some similarities with the Free Disposal Hull (FDH) technique. However, and in contrast to FDH, EAT overcomes the problem of overfitting by using cross-validation to prune back the deep tree obtained in the first stage. Finally, the performance of EAT is measured via Monte Carlo simulations, showing that the new approach reduces the mean squared error associated with the estimation of the true frontier by between 13% and 70% in comparison with the standard FDH. (C) 2020 Elsevier Ltd. All rights reserved.
引用
收藏
页数:17
相关论文
共 41 条
[11]   The curse of dimensionality of decision-making units: A simple approach to increase the discriminatory power of data envelopment analysis [J].
Charles, Vincent ;
Aparicio, Juan ;
Zhu, Joe .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2019, 279 (03) :929-940
[12]   MEASURING EFFICIENCY OF DECISION-MAKING UNITS [J].
CHARNES, A ;
COOPER, WW ;
RHODES, E .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1978, 2 (06) :429-444
[13]  
Cobb C.W., 1928, American Economic Review, V18, P139
[14]   Introducing environmental variables in nonparametric frontier models: A probabilistic approach [J].
Daraio, C ;
Simar, L .
JOURNAL OF PRODUCTIVITY ANALYSIS, 2005, 24 (01) :93-121
[15]   Multivariate regression trees: a new technique for modeling species-environment relationships [J].
De'Ath, G .
ECOLOGY, 2002, 83 (04) :1105-1117
[16]   THE COEFFICIENT OF RESOURCE UTILIZATION [J].
Debreu, Gerard .
ECONOMETRICA, 1951, 19 (03) :273-292
[17]  
Deprins D., 1984, The Performance of Public Enterprises: Concepts and Measurements, DOI DOI 10.1007/978-0-387-25534-7_16
[18]   NONPARAMETRIC KERNEL REGRESSION WITH MULTIPLE PREDICTORS AND MULTIPLE SHAPE CONSTRAINTS [J].
Du, Pang ;
Parmeter, Christopher F. ;
Racine, Jeffrey S. .
STATISTICA SINICA, 2013, 23 (03) :1347-1371
[19]   Data envelopment analysis with classification and regression tree - a case of banking efficiency [J].
Emrouznejad, Ali ;
Anouze, Abdel Latef .
EXPERT SYSTEMS, 2010, 27 (04) :231-246
[20]  
Fare R, 1995, MULTIPLE OUTPUT PROD