Specification Testing of Production in a Stochastic Frontier Model
Parametric production frontier functions are frequently used in stochastic frontier models, but there do not seem to be any empirical test statistics for the plausibility of this application. In this paper, we develop procedures to test whether or not the parametric production frontier functions are...
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doaj-8709e749c9e24fe1ba1cfda5d12f58b82020-11-24T23:55:18ZengMDPI AGSustainability2071-10502018-08-01109308210.3390/su10093082su10093082Specification Testing of Production in a Stochastic Frontier ModelXu Guo0Gao-Rong Li1Michael McAleer2Wing-Keung Wong3School of Statistics, Beijing Normal University, Beijing 100875, ChinaBeijing Institute for Scientific and Engineering Computing, Beijing University of Technology, Beijing 100124, ChinaDepartment of Finance, College of Management, Asia University, Taichung 41354, TaiwanDepartment of Finance and Big Data Research Center, Asia University, Taichung 41354, TaiwanParametric production frontier functions are frequently used in stochastic frontier models, but there do not seem to be any empirical test statistics for the plausibility of this application. In this paper, we develop procedures to test whether or not the parametric production frontier functions are suitable. Toward this aim, we developed two test statistics based on local smoothing and an empirical process, respectively. Residual-based wild bootstrap versions of these two test statistics are also suggested. The distributions of technical inefficiency and the noise term are not specified, which allows specification testing of the production frontier function even under heteroscedasticity. Simulation studies and a real data example are presented to examine the finite sample sizes and powers of the test statistics. The theory developed in this paper is useful for production managers in their decisions on production.http://www.mdpi.com/2071-1050/10/9/3082production frontier functionstochastic frontier modelspecification testingwild bootstrapsmoothing processempirical processsimulations |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Xu Guo Gao-Rong Li Michael McAleer Wing-Keung Wong |
spellingShingle |
Xu Guo Gao-Rong Li Michael McAleer Wing-Keung Wong Specification Testing of Production in a Stochastic Frontier Model Sustainability production frontier function stochastic frontier model specification testing wild bootstrap smoothing process empirical process simulations |
author_facet |
Xu Guo Gao-Rong Li Michael McAleer Wing-Keung Wong |
author_sort |
Xu Guo |
title |
Specification Testing of Production in a Stochastic Frontier Model |
title_short |
Specification Testing of Production in a Stochastic Frontier Model |
title_full |
Specification Testing of Production in a Stochastic Frontier Model |
title_fullStr |
Specification Testing of Production in a Stochastic Frontier Model |
title_full_unstemmed |
Specification Testing of Production in a Stochastic Frontier Model |
title_sort |
specification testing of production in a stochastic frontier model |
publisher |
MDPI AG |
series |
Sustainability |
issn |
2071-1050 |
publishDate |
2018-08-01 |
description |
Parametric production frontier functions are frequently used in stochastic frontier models, but there do not seem to be any empirical test statistics for the plausibility of this application. In this paper, we develop procedures to test whether or not the parametric production frontier functions are suitable. Toward this aim, we developed two test statistics based on local smoothing and an empirical process, respectively. Residual-based wild bootstrap versions of these two test statistics are also suggested. The distributions of technical inefficiency and the noise term are not specified, which allows specification testing of the production frontier function even under heteroscedasticity. Simulation studies and a real data example are presented to examine the finite sample sizes and powers of the test statistics. The theory developed in this paper is useful for production managers in their decisions on production. |
topic |
production frontier function stochastic frontier model specification testing wild bootstrap smoothing process empirical process simulations |
url |
http://www.mdpi.com/2071-1050/10/9/3082 |
work_keys_str_mv |
AT xuguo specificationtestingofproductioninastochasticfrontiermodel AT gaorongli specificationtestingofproductioninastochasticfrontiermodel AT michaelmcaleer specificationtestingofproductioninastochasticfrontiermodel AT wingkeungwong specificationtestingofproductioninastochasticfrontiermodel |
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1725463164553789440 |