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data envelopment analysis for scale elasticity measurement in the stochastic case:with an application to Indian banking

引用

Financial Innovation 2023年第1期9卷 955-990页

作者： Alireza Amirteimoori Biresh K.Sahoo Saber Mehdizadeh Faculty of Engineering&Natural Sciences Istinye UniversityIstanbulTurkey Xavier Institute of Management XIM UniversityBhubaneswar 7571013India

In the nonparametric data envelopment analysis literature,scale elasticity is evaluated in two alternative ways:using either the technical efficiency model or the cost efficiency *** evaluation becomes problematic in several situations,for example(a)when input proportions change in the long run,(b)when inputs are heterogeneous,and(c)when firms face ex-ante price uncertainty in making their production *** address these situations,a scale elasticity evaluation was performed using a value-based cost efficiency ***,this alternative value-based scale elasticity evaluation is sensitive to the uncertainty and variability underlying input and output ***,in this study,we introduce a stochastic cost-efficiency model based on chance-constrained programming to develop a value-based measure of the scale elasticity of firms facing data *** illustrative empirical application to the Indian banking industry comprising 71 banks for eight years(1998–2005)was made to compare inferences about their efficiency and scale *** key findings are as follows:First,both the deterministic model and our proposed stochastic model yield distinctly different results concerning the efficiency and scale elasticity scores at various tolerance levels of chance ***,both models yield the same results at a tolerance level of 0.5,implying that the deterministic model is a special case of the stochastic model in that it reveals the same efficiency and returns to scale characterizations of ***,the stochastic model generates higher efficiency scores for inefficient banks than its deterministic ***,public banks exhibit higher efficiency than private and foreign ***,public and old private banks mostly exhibit either decreasing or constant returns to scale,whereas foreign and new private banks experience either increasing or decreasing returns to *** the application of our proposed stochastic mode

关键词： data envelopment analysis stochastic data envelopment analysis Technical efficiency Returns to scale Economies of scale Scale elasticity Indian banking Econometrics Economics

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