Data aggregation in stochastic frontier models: the closed skew normal distribution

被引：0
作者：
B. Wade Brorsen
Taeyoon Kim
机构：
[1] Oklahoma State University,Department of Agricultural Economics, 414 AGH
[2] Korea Institute for International Economic Policy,Center for Regional Economic Studies/Southeast and South Asia
来源：
Journal of Productivity Analysis | 2013年 / 39卷
关键词：
Aggregation; Closed skew normal; Cost function; Frontier; Stochastic frontier; C43; D24; Q12;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The effect of aggregation on estimates of stochastic frontier functions is considered. Inefficiency is assumed associated with the individual units being aggregated. In this case, the aggregated data have a closed skew normal distribution. Estimating the parameters of a closed skew normal distribution is difficult and so we focus mostly on the biases created by ignoring the fact that the data are aggregated. The conclusions are based on both analytical and Monte Carlo results. When data for firms are aggregates over smaller units and the inefficiency is associated with the units and not the firm, empirical work that does not consider the effect of aggregation will attribute the inefficiency of large firms to diseconomies of scale.
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页码：27 / 34
页数：7
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共 41 条
  • [1] Adkins LC(2003)The impact of local funding on the technical efficiency of Oklahoma schools Econ Lett 81 31-37
  • [2] Moomaw RL(1977)Formulation and estimation of stochastic frontier production models J Econom 6 21-37
  • [3] Aigner D(2006)On the unification of families of skew normal distributions Scand J Stat 33 561-574
  • [4] Lovell CAK(1985)A class of distributions which includes the normal ones Scand J Stat 12 171-178
  • [5] Schmidt P(2005)The skew-normal distribution and related multivariate families Scand J Stat 32 159-188
  • [6] Arellano-Valle RB(1999)Statistical applications of the multivariate skew-normal distribution J R Stat Soc B 61 579-602
  • [7] Azzalini A(1996)The multivariate skew-normal distribution Biometrika 83 715-726
  • [8] Azzalini A(2001)A general class of multivariate skew-elliptical distributions J Multivar Anal 79 99-113
  • [9] Azzalini A(1993)Biases in frontier estimation due to heteroscedasticity Econ Lett 41 17-20
  • [10] Azzalini A(1995)Frontier estimation and firm-specific inefficiency measures in the presence of heteroscedasticity J Bus Econ Stat 13 105-111
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