4.1 Article

Exponential environmental productivity index and indicators

Journal

JOURNAL OF PRODUCTIVITY ANALYSIS
Volume 48, Issue 2-3, Pages 147-166

Publisher

SPRINGER
DOI: 10.1007/s11123-017-0513-7

Keywords

Exponential environmental productivity indicators; Exponential environmental productivity index; Exponential distance function; Generalized dynamical distance function; Dynamical deviation

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The major contributions of this paper are twofold. First, it introduces an exponential environmental productivity indicator and its ratio-based counterpart constructed through an exponential distance function. These innovative exponential environmental productivity index and indicator inherit the basic structure of both Malmquist-Luenberger productivity index and environmental Luenberger productivity indicator. Thereafter, an exponential version of the environmental Luenberger-Hicks-Moorsteen productivity indicator is proposed. Such a specification allows to overcome the special issue of infeasabilities. Second, looking from a dynamical viewpoint, we propose an exponential generalized dynamical distance function. This new efficiency measure shows the degree of efficiency of an observation, taking into consideration its technical efficiency and/or technological variation adjustment path. A sample of 11 representative French airports is considered over the period 2008-2011, in order to implement these new exponential environmental productivity index and indicators.

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