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Estimating output gains by means of Luenberger efficiency measures
Institution:1. Faculty of Commerce, Fukuoka University, Nanakuma, Jonan-ku, Fukuoka 814-0180, Japan;2. Department of Economics, Southeast Missouri State University, Cape Girardeau, MO 63701, USA;1. Department of Mathematics and Statistics, University of Jyvaskyla, P.O. Box (MaD), FI-40014, Jyväskylä, Finland;2. Department of Health, National Institute for Health and Welfare, P.O. Box 30, FI-00271, Helsinki, Finland;1. College of Physics and Information Technology, Shaanxi Normal University, Xi׳an 710062, China;2. State Key Laboratory of Electronic Thin Films and Integrated Devices, University of Electronic Science and Technology of China, Chengdu 610054, China;1. Center of Operations Research (CIO), Miguel Hernandez University of Elche (UMH), 03202 Elche, Alicante, Spain;2. Economics, Sociology and Agricultural Policy, Miguel Hernandez University of Elche (UMH), 03212 Orihuela, Alicante, Spain;3. Physical and Sports Education, Miguel Hernandez University of Elche (UMH), 03202 Elche, Alicante, Spain;1. Department of Mathematics, College of Science, Tehran North Branch, Islamic Azad University, Tehran, Iran;2. School of Mathematics, Statistics and Computer Science, College of Science, University of Tehran, Enghelab Avenue, Tehran, Iran
Abstract:In this paper we propose a new measure of input allocative efficiency that we estimate using directional distance functions. Our new measure compares the gain in output if a firm reduces technical inefficiency for the direct production possibility set and the gain in output if the firm reduces technical inefficiency for the indirect production possibility set. Because the directional distance function uses a translated origin, the gain in output from an optimal reallocation of inputs can be estimated for non-radial expansions in output. We estimate efficiency for Japanese banks during 1992–1999. The gains in outputs from reducing allocative inefficiency by reallocating inputs are greater than the gains in outputs that can be attained by reducing technical inefficiency.
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