The Malmquist Index methodology is widely used in production economics for measuring the productivity changes of a set of decision making units (DMUs) within different time periods. Moreover, it is quite usual in the management literature to compare public and private DMU performance operating under the same economic sector. However, the standard Malmquist index needs a panel database to be imp...

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...

Abstract The aim of this paper is to classify the cubic polynomials $$\begin{aligned} H(z,x,y)=\sum _{j+k\le 3}a_{jk}(z)x^jy^k \end{aligned}$$ H ( z , x y ) <mml:mo...

The circle-type or global Malmquist index, which is based on Data Envelopment Analysis (DEA) models, is an important index that is widely used for measuring the relative productivity change of decisionmaking units (DMUs) in multiple time periods. This index, similar to the standard approach of measuring the productivity change using the standard Malmquist index, breaks down into various compone...

This paper uses a meta-Malmquist index for measuring productivity change of the water industry in England and Wales and compares this to the traditional Malmquist index. The meta-Malmquist index computes productivity change with reference to a meta-frontier, it is computationally simpler and it is circular. The analysis covers all 22 UK water companies in existence in 2007, using data over the ...

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...

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...

By using the Nevanlinna theory of value distribution, we investigate the existence of solutions of some types of non-linear q-difference differential equations. In particular, we generalize the Rellich-Wittich-type theorem and Malmquist-type theorem about differential equations to the case of q-difference differential equations (system).

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...

Recently, the present authors used Nevanlinna theory to provide a classification for Malmquist type difference equations of form \(f(z+1)^n=R(z,f)\) \((\dagger)\) that have transcendental meromorphic solutions, where \(R(z,f)\) is rational in both arguments. In this paper, we first complete case \(\deg_{f}(R(z,f))=n\) by identifying new equation was left out our previous work. We will actually ...