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Quadratic-mean-of-order-r indexes of output, input and productivity

Hideyuki Mizobuchi () and Valentin Zelenyuk
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Hideyuki Mizobuchi: Ryukoku University

Journal of Productivity Analysis, 2021, vol. 56, issue 2, No 5, 133-138

Abstract: Abstract This paper deals with the quadratic-mean-of-order-r indexes of output, input and productivity. Each index is a family of indexes that unify many of the existing indexes, including the most popular ones. We show that all index number formulae belonging to these families are superlative indexes. This is considered as a generalization of the equivalence of Fisher and Malmquist indexes, shown by Diewert (1992).

Keywords: Index numbers; Superlative index; Quadratic-mean-of-order-r index; Fisher index; Malmquist index; Flexible functional form (search for similar items in EconPapers)
JEL-codes: C43 D24 E31 O47 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s11123-021-00613-0

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