Gradient tree boosting and the estimation of production frontiers

In production theory and engineering, a topic of interest is the determination of technical efficiency of firms from the estimation of a technology. By definition, a technology must satisfy a set of micro-economic postulates. Likewise, a valid estimator of a technology should meet the same set of ax...

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Bibliographic Details
Authors: Guillén García, María Dolores, Aparicio Baeza, Juan, Esteve, Miriam
Format: article
Publication Date:2023
Country:España
Institution:Universidad Miguel Hernández de Elche
Repository:REDIUMH. Depósito Digital de la UMH
OAI Identifier:oai:dnet:rediumh_____::cbc6b74664815940935d21e198261376
Online Access:https://hdl.handle.net/11000/39748
Access Level:Open access
Keyword:data envelopment analysis
Free Disposal Hull
boosting
technical efficiency
CDU::5 - Ciencias puras y naturales::51 - Matemáticas
CDU::3 - Ciencias sociales::31 - Demografía. Sociología. Estadística::311 - Estadística
CDU::3 - Ciencias sociales::33 - Economía
CDU::0 - Generalidades.::04 - Ciencia y tecnología de los ordenadores. Informática.
Description
Summary:In production theory and engineering, a topic of interest is the determination of technical efficiency of firms from the estimation of a technology. By definition, a technology must satisfy a set of micro-economic postulates. Likewise, a valid estimator of a technology should meet the same set of axioms. In this paper, for the first time, we adapt the Gradient Tree Boosting algorithm with the objective of estimating production technologies, satisfying the required theoretical conditions. The new approach shares similarities with the standard Free Disposal Hull (FDH) methodology, but with the advantage that it avoids the typical problem of overfitting. Finally, the performance of the new approach based on boosting is measured through a computational experience, determining that the technique based upon boosting decreases the mean squared error by more than 35% with respect to FDH.