In this paper we extend the work of Färe and Zelenyuk (2003) to find a theoretically justified method of aggregating Malmquist Productivity Indexes over individual decision making units (firms, countries, etc.) into a group Malmquist Productivity Index. We also consider the aggregation of decomposed parts of the Malmquist Productivity Index to obtain a decomposition of the Malmquist Productivit...

The goal of this study examines the quantitative implications of the Malmquist index in a standard Real Business Cycle (RBC) model as a measure of technology shock. To achieve this, the paper first investigates the empirical validity of the equivalence proposition on the two technology shock measures: a relatively new Malmquist Index and the predominant Solow residual. On the basis of permutati...

This paper proposes a global cost Malmquist productivity index, new cost Malmquist productivity index, that is circular and that gives a single measure of productivity change. The index is inspired by the global Malmquist productivity index as extended to productivity measurement. Decomposition of the proposed cost Malmquist productivity index is presented. Numerical results are presented for a...

Most Real Business Cycle (RBC) models use the Solow residual as a proxy for a measured aggregate productivity shock. This paper studies implications of the Malmquist productivity index for business cycle analysis using a standard RBC model. By doing this, the study seeks to broaden areas of macroeconomic applications for the Malmquist index. More specifically, this paper chooses aggregate produ...

one of the most popular approaches to measuring productivity changes is based on using malmquist productivity indexes. in this paper we propose a method for obtaining interval malmquist productivity index (impi). the classical dea models have been before used for measuring the malmquist productivity index. the current article extends dea models for measuring the interval malmquist productivity ...

The Trade Offs approach is an advanced tool for the improvement of the discrimination of Data Envelopment Analysis (DEA) models, Meta Malmquist Index was defined by Maria Portella and et. al (2008). In this paper we compute the Meta Malmquist Index in Trade Offs model in DEA and we compare, obtaining results, of Meta Malmquist Index in different models of DEA, Variable Return to Scale (VRS), Co...

The Fisher ideal total factor productivity (TFP) index requires complete quantity and price information. If input-output quantities are allocatively efficient, the Fisher index can be approximated by the Malmquist TFP index, which does not require price information. This paper elaborates on the conditions under which the Malmquist and Fisher indexes are equivalent. Drawing from these insights, ...

The productivity change of a decision making unit (DMU) between two time periods can be evaluated by the Malmquist productivity index. In this study, we propose a method to compute the Malmquist productivity index in several time periods (from the first to the last periods) on interval data in data envelopment analysis (DEA). Then, the obtained Malmquist productivity index is compared with Malm...

One of the most popular approaches to measuring productivity changes is based on using Malmquist productivity indexes. In this paper we propose a method for obtaining interval Malmquist productivity index (IMPI). The classical DEA models have been before used for measuring the Malmquist productivity index. The current article extends DEA models for measuring the interval Malmquist productivity ...