Measuring technical efciency for multi‐input multi‐output production processes through OneClass Support Vector Machines: a fnite‐sample study

Abstract We introduce a new method for the estimation of production technologies in a multiinput multi-output context, based on OneClass Support Vector Machines with piecewise linear transformation mapping. We compare via a fnite-sample simulation study the new technique with Data Envelopment Analys...

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Detalles Bibliográficos
Autores: Moragues, Raul, Aparicio, Juan, Esteve, Miriam
Tipo de recurso: artículo
Fecha de publicación:2023
País:España
Institución:Universidad Miguel Hernández de Elche
Repositorio:REDIUMH. Depósito Digital de la UMH
OAI Identifier:oai:dspace.umh.es:11000/35088
Acceso en línea:https://hdl.handle.net/11000/35088
Access Level:acceso abierto
Palabra clave:Data envelopment analysis
OneClassSVM
Technical efciency
Overftting
Efciency measures
CDU::5 - Ciencias puras y naturales::51 - Matemáticas
Descripción
Sumario:Abstract We introduce a new method for the estimation of production technologies in a multiinput multi-output context, based on OneClass Support Vector Machines with piecewise linear transformation mapping. We compare via a fnite-sample simulation study the new technique with Data Envelopment Analysis (DEA) to estimate technical efciency. The criteria adopted for measuring the performance of the estimators are bias and mean squared error. The simulations reveal that the approach based on machine learning seems to provide better results than DEA in our fnite-sample scenarios. We also show how to adapt several well-known technical efciency measures to the introduced estimator. Finally, we compare the new technique with respect to DEA via its application to an empirical database of USA schools from the Programme for International Student Assessment, where we obtain statistically signifcant diferences in the efciency scores determined through the Slacks-Based Measure.