Conditional efficiency measures, including conditional FDH, conditional DEA, conditional order$-m$ and conditional order$-alpha$, have been recently introduced and proved as a useful tool for the investigation on the impact of external-environmental factors on the performance of Decision Making Units in a nonparametric framework (see Daraio and Simar, 2007 for an overview). In this paper we suggest a consistent bootstrap approach to correctly mimicking the DGP and describe how to estimate the bias, the standard deviation and the confidence intervals of the full conditional measures and of the robust conditional measures (order$-m$ and order$-alpha$). For partial (robust measures) of efficiency, the naive bootstrap can be used consistently, whilst Jeong and Simar (2006) demonstrate that the sub-sampling is consistent for the FDH case. However, the choice of the sub-sampling size in the FDH case may affect the accuracy of the results; hence in this paper we propose a method for selecting the size of the sub-sampling in an effective way. An analytical bias correction is also applied adapting the approach proposed by Badin and Simar (2004) to the framework of conditional FDH case.

Statistical Inference in Conditional Nonparametric Frontier Models

DARAIO, CINZIA;
2007

Abstract

Conditional efficiency measures, including conditional FDH, conditional DEA, conditional order$-m$ and conditional order$-alpha$, have been recently introduced and proved as a useful tool for the investigation on the impact of external-environmental factors on the performance of Decision Making Units in a nonparametric framework (see Daraio and Simar, 2007 for an overview). In this paper we suggest a consistent bootstrap approach to correctly mimicking the DGP and describe how to estimate the bias, the standard deviation and the confidence intervals of the full conditional measures and of the robust conditional measures (order$-m$ and order$-alpha$). For partial (robust measures) of efficiency, the naive bootstrap can be used consistently, whilst Jeong and Simar (2006) demonstrate that the sub-sampling is consistent for the FDH case. However, the choice of the sub-sampling size in the FDH case may affect the accuracy of the results; hence in this paper we propose a method for selecting the size of the sub-sampling in an effective way. An analytical bias correction is also applied adapting the approach proposed by Badin and Simar (2004) to the framework of conditional FDH case.
2007
X European Workshop on Efficiency and Productivity Analysis
22
23
Daraio C.; Simar L.
File in questo prodotto:
Eventuali allegati, non sono esposti

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/75373
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact