The denominator rule for share-weighting aggregation
被引:32
作者:
Fare, Rolf
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机构:
Oregon State Univ, Dept Econ, Corvallis, OR 97331 USA
Oregon State Univ, Dept Agr & Resource Econ, Corvallis, OR 97331 USA
Univ Maryland, Dept Agr & Resource Econ, College Pk, MD 20742 USAOregon State Univ, Dept Econ, Corvallis, OR 97331 USA
Fare, Rolf
[1
,2
,3
]
Karagiannis, Giannis
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Univ Macedonia, Dept Econ, 156 Egnatia Str, Thessaloniki 54006, GreeceOregon State Univ, Dept Econ, Corvallis, OR 97331 USA
Karagiannis, Giannis
[4
]
机构:
[1] Oregon State Univ, Dept Econ, Corvallis, OR 97331 USA
[2] Oregon State Univ, Dept Agr & Resource Econ, Corvallis, OR 97331 USA
[3] Univ Maryland, Dept Agr & Resource Econ, College Pk, MD 20742 USA
In this paper we prove that the denominator rule, namely that weighting shares should be defined in term of the denominator variable of the relevant index, is a necessary and sufficient condition for consistent arithmetic aggregation of any ratio-type performance measures, including efficiency indices. We then illustrate the applicability of the denominator rule in the aggregation of scale efficiency, measures of the effect of input congestion, and of capacity utilization indices. (C) 2017 Elsevier B.V. All rights reserved.