Undesirable outputs and a primal Divisia productivity index based on the directional output distance function

Guohua Feng () and Apostolos Serletis

Journal of Econometrics, 2014, vol. 183, issue 1, 135-146

Abstract: Despite their great popularity, all the conventional Divisia productivity indexes ignore undesirable outputs. The purpose of this study is to fill in this gap by proposing a primal Divisia-type productivity index that is valid in the presence of undesirable outputs. The new productivity index is derived by total differentiation of the directional output distance function with respect to a time trend and referred to as the Divisia–Luenberger productivity index. We also empirically compare the Divisia–Luenberger productivity index and a representative of the conventional Divisia productivity indexes–the radial-output-distance-function-based Feng and Serletis (2010) productivity index–using aggregate data on 15 OECD countries over the period 1981–2000. Our empirical results show that failure to take into account undesirable outputs not only leads to misleading rankings of countries both in terms of productivity growth and in terms of technological change, but also results in wrong conclusions concerning efficiency change.

Keywords: Directional output distance function; Divisia–Luenberger productivity index; Undesirable outputs (search for similar items in EconPapers)
JEL-codes: C43 C51 D24 O47 (search for similar items in EconPapers)
Date: 2014
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (24)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:econom:v:183:y:2014:i:1:p:135-146

DOI: 10.1016/j.jeconom.2014.06.014

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