The Experts below are selected from a list of 18 Experts worldwide ranked by ideXlab platform
Toshiyuki Sueyoshi - One of the best experts on this subject based on the ideXlab platform.
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an occurrence of multiple projections in dea based measurement of technical efficiency theoretical comparison among dea models from desirable properties
European Journal of Operational Research, 2009Co-Authors: Toshiyuki Sueyoshi, Kazuyuki SekitaniAbstract:This study discusses nine desirable properties that a measure of technical efficiency (TE) needs to satisfy from the perspective of production economics and optimization. Seven data envelopment analysis (DEA) models are theoretically compared from a viewpoint of nine TE criteria. All the seven DEA models suffer from a problem of multiple projections even though a unique projection for efficiency comparison is one of the nine desirable properties. Furthermore, all the DEA models violate the property on aggregation of inputs and outputs. Thus, the seven DEA models do not satisfy all desirable TE properties. In addition, the comparison provides us with the following guidelines: (a) The additive model violates all desirable TE properties. (b) Russell measure and SBM (=ERGM) perform as well as RAM as a non-radial measure. If we are interested in strict monotonicity, the two models outperform the other DEA models including RAM. In contrast, if we are interested in translation invariance, RAM is better than Russell measure and SBM (=ERGM). (c) The radial measures (CCR and BCC) have the property of Linear Homogeneity. (d) The CCR model is useful for measuring a frontier shift among different periods. (e) If a data set contains a negative value, RAM becomes a DEA model to handle the negative value because it has the property of translation invariance. After examining the desirable TE properties, this study proposes a new approach to deal with an occurrence of multiple projections. The proposed approach includes a test to examine an occurrence of multiple projections, a mathematical expression of a projection set, and a selection process of a unique reference set as the largest one covering all the possible reference sets.
Kazuyuki Sekitani - One of the best experts on this subject based on the ideXlab platform.
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an occurrence of multiple projections in dea based measurement of technical efficiency theoretical comparison among dea models from desirable properties
European Journal of Operational Research, 2009Co-Authors: Toshiyuki Sueyoshi, Kazuyuki SekitaniAbstract:This study discusses nine desirable properties that a measure of technical efficiency (TE) needs to satisfy from the perspective of production economics and optimization. Seven data envelopment analysis (DEA) models are theoretically compared from a viewpoint of nine TE criteria. All the seven DEA models suffer from a problem of multiple projections even though a unique projection for efficiency comparison is one of the nine desirable properties. Furthermore, all the DEA models violate the property on aggregation of inputs and outputs. Thus, the seven DEA models do not satisfy all desirable TE properties. In addition, the comparison provides us with the following guidelines: (a) The additive model violates all desirable TE properties. (b) Russell measure and SBM (=ERGM) perform as well as RAM as a non-radial measure. If we are interested in strict monotonicity, the two models outperform the other DEA models including RAM. In contrast, if we are interested in translation invariance, RAM is better than Russell measure and SBM (=ERGM). (c) The radial measures (CCR and BCC) have the property of Linear Homogeneity. (d) The CCR model is useful for measuring a frontier shift among different periods. (e) If a data set contains a negative value, RAM becomes a DEA model to handle the negative value because it has the property of translation invariance. After examining the desirable TE properties, this study proposes a new approach to deal with an occurrence of multiple projections. The proposed approach includes a test to examine an occurrence of multiple projections, a mathematical expression of a projection set, and a selection process of a unique reference set as the largest one covering all the possible reference sets.
Max Albert - One of the best experts on this subject based on the ideXlab platform.
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kuhn tucker conditions and Linear Homogeneity
Economics Letters, 1995Co-Authors: Max AlbertAbstract:Abstract If a Linearly homogeneous function h(x) occurs in the target function, the usual Kuhn-Tucker conditions are not defined at x = 0 . This paper proves a theorem on alternative conditions. An example from production theory demonstrates the relevance of the problem.
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kuhn tucker conditions and Linear Homogeneity
Research Papers in Economics, 1994Co-Authors: Max AlbertAbstract:The paper proves a theorem on modified Kuhn-Tucker conditions for the case where a Linearly homogenous function is part of the target function. These conditions are necessary and sufficient if target function and constraints satisfy certain re-quirements. Moreover, the envelope theorem can be applied as if the Standard Kuhn-Tucker conditions were valid. An application to a problem in the theory of production illustrates the usefulness of the theorem.
John S Ying - One of the best experts on this subject based on the ideXlab platform.
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imposing Linear Homogeneity on box tidwell flexible functional forms
Journal of Business & Economic Statistics, 1994Co-Authors: Richard T Shin, John S YingAbstract:We consider two forms of the Box–Tidwell cost function, which uses the increasingly popular Box–Cox metric. If the dependent variable is the logarithm of cost, the function violates the regularity condition of Homogeneity in factor prices, globally and locally. If cost is transformed by the Box–Cox metric, global Homogeneity requires highly restrictive parameter constraints such that the model is no longer flexible, and local Homogeneity is satisfied at only the base point of approximation. We demonstrate that normalizing the first model by the deleted factor price alters the model so that estimates are no longer invariant.
Richard T Shin - One of the best experts on this subject based on the ideXlab platform.
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imposing Linear Homogeneity on box tidwell flexible functional forms
Journal of Business & Economic Statistics, 1994Co-Authors: Richard T Shin, John S YingAbstract:We consider two forms of the Box–Tidwell cost function, which uses the increasingly popular Box–Cox metric. If the dependent variable is the logarithm of cost, the function violates the regularity condition of Homogeneity in factor prices, globally and locally. If cost is transformed by the Box–Cox metric, global Homogeneity requires highly restrictive parameter constraints such that the model is no longer flexible, and local Homogeneity is satisfied at only the base point of approximation. We demonstrate that normalizing the first model by the deleted factor price alters the model so that estimates are no longer invariant.