Luenberger and Malmquist Productivity Indices: Theoretical Comparisons and Empirical Illustration

By Jean-Philippe Boussemart, Walter Briec, Kristiaan Kerstens, Jean‐Christophe Poutineau. 2003

198 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/63fceebef95ce27495be7d04cc327e69598e1ea5

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In Economics and Econometrics

Citations in the corpus

Exact relations between Luenberger productivity indicators and Malmquist productivity indexes (2008, background): “…303 Ballard, Corvallis, OR 97331, USA E-mail: rolf.fare@orst.edu D. Margaritis AUT, Faculty of Busniess, Auckland, New Zealand In a recent paper Boussemart et al. (2003) showed that the Malmquist index is a linear approximation of the Luenberger indicator, but they did not discuss their…”
The directional distance function and the translation invariance property (2016, unknown): “[5].”
The Hicks-Moorsteen productivity index satisfies the determinateness axiom (2011, unknown): “Following Briec and Kerstens (2009), we say that the direction of vector g h k n p = ( ) ∈ × + , _ is infeasible at (x, y) in period t if the affine line spanned from (x, y) in the direction of g = (h, k) does not meet the production technology T .”
Regulatory reforms and productivity : an empirical analysis of the Japanese electricity industry (2008, methodology): “Therefore, the Luenberger productivity indicator can be considered a generalization of the Malmquist productivity index (see Boussemart et al., 2003).”
Total-factor energy productivity growth, technical progress, and efficiency change: An empirical study of China (2010, methodology): “According to the flexibility of directional distance function, some researchers have considered that the Luenberger productivity index is more appropriate than the well-known Malmquist productivity index [21,22].”
Total-factor energy productivity growth of regions in Japan (2009, background): “Following Färe et al. (1985) and Boussemart et al. (2003), the input distance function can be defined at t as Dti ðx t ;ytÞ ¼ supfd : ðxt=d; ytÞ 2 Stg ¼ ðinffd : ðdxt ; ytÞ 2 StgÞ 1 (2) where distance function (2) is based upon the reciprocal of the maximum proportional reduction of the input…”
A Luenberger-Hicks-Moorsteen productivity indicator: its relation to the Hicks-Moorsteen productivity index and the Luenberger productivity indicator (2004, background): “In particular, Boussemart et al. (2003) prove that the logarithm of the input Malmquist productivity index is twice a linear approximation of minus the Luenberger productivity indicator.”