Measuring Productivity by Quadratic-mean-of-order-of-r Indexes

Hideyuki Mizobuchi () and Valentin Zelenyuk
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Hideyuki Mizobuchi: Faculty of Economics, Ryukoku University

No WP062018, CEPA Working Papers Series from University of Queensland, School of Economics

Abstract: In this paper, we propose the quadratic-mean-of-order-of-r indexes of output, input and productivity and show that all index number formulae belonging to this family are superlative indexes. In turn, this helps by deriving a generalization of the well-known Diewert’s theorem about equivalence of Fisher and Malmquist indexes. Our results also give new justifications for output and input comparison and productivity measurement via other interesting indexes such as the implicit Walsh index.

Keywords: index numbers; superlative index; quadratic-mean-of-order-of-r index; Fisher index; Malmquist index; implicit Walsh index; time reversal test (search for similar items in EconPapers)
JEL-codes: C14 D24 E31 O47 (search for similar items in EconPapers)
Date: 2018-09
New Economics Papers: this item is included in nep-eff and nep-mac
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Persistent link: https://EconPapers.repec.org/RePEc:qld:uqcepa:127

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