The Decomposition of Malmquist Productivity Indexes

Two different Malmquist productivity indexes have been proposed. One I call partially oriented because it is either output- or input-oriented, and the other is simultaneously output- and input-oriented. The partially oriented Malmquist index owes some of its popularity to the fact that it has been decomposed to isolate various sources of productivity change. Conversely, the simultaneously oriented Malmquist index has not achieved popularity in part because it has not been decomposed. In this paper I evaluate alternative decompositions of the partially oriented Malmquist index, and I obtain a new decomposition of the simultaneously oriented Malmquist index. This new decomposition leads me to conclude that the latter index is deserving of greater attention than it has received to date.     

Malmquist indices of productivity growth for Islamic and conventional banks in Malaysia

This paper studies the total factor productivity （TFP） of banks in Malaysia with the emphasis on comparing the relative productivities of Islamic and Conventional banks. The Malmquist index approach is used to decompose productivity growth into technical efficiency and technological change. The productivity growth is measured and decomposed into technical change and efficiency change. The efficiency change is further decomposed into pure efficiency change and scale efficiency. It is found that Islamic banks＇ productivity growth is limited by its lack of technological change compared to its conventional counterparts. Nonetheless, both types of banks are operating at the correct level in terms of scale or size.     

Parametric Decomposition of a Generalized Malmquist Productivity Index

This paper provides a parametric decomposition of a generalized Malmquist productivity index which takes into account scale economies. Unlike Balk (2001), the contribution of scale economies to productivity change is evaluated without recourse to scale efficiency measures, which are neither bounded for globally increasing, decreasing, or constant returns to scale technologies nor for ray-homogeneous technologies. An empirical application using panel data from Spanish savings banks is included. This application shows the advantages of the suggested method compared to Balk's approach. The results show an increase of total factor productivity which can be mainly attributed to technical progress and the positive effect of returns to scale.     

Data envelopment analysis and Malmquist indices for measuring group performance

This paper develops measures, based on the Malmquist index, that enable the decision making units’ internal inefficiencies to be distinguished from those associated with their group (or program) characteristics. The applicability of these measures is illustrated with the assessment of bank branches’ performance. The analysis involves the construction of an index reflecting the relative performance of branches in four different regions, which can be decomposed into an index for the comparison of within-group efficiency spread, evaluating internal managerial efficiencies, and an index for the comparison of frontier productivity, reflecting the impact of environmental factors and regional managerial policies on branches’ productivity.     

基于Malmquist指数模型的我国银行业效率测评

文章运用Malmquist指数模型测算分析了2016-2019年我国31个省市银行业的全要素生产率以及其分解指标技术效率和技术进步的具体情况。研究发现:综合来看,近年来我国各省市银行业全要素生产率处于增势,其中技术进步水平的增长发挥了主要作用;分年度看,2017年各省市银行全要素生产率增长率极差最大,唯一的技术效率下降情况也发生在2017年;按各省市银行发展势头看,北京、河南、吉林、上海的银行全要素生产率由增转降,浙江的银行全要素生产率一直在降;按地区看,西南、西北、东北等地区银行业全要素生产率增长更为显著。据此,本文就进一步更好地促进银行业长远发展提出些许建议。     

Estimating global frontier shifts and global Malmquist indices

The Malmquist index is a measure of productivity changes, of which an important component is the frontier shift or technological change. Often technological change can be viewed as a global phenomenon, and therefore individual or local measures of technological changes are aggregated into an overall measure, traditionally using geometric means. In this paper we propose a way of calculating global Malmquist indices and global frontier shift indices which provides a better estimation of the true frontier shift and furthermore is easy to calculate. Using simulation studies we show how this method outperforms the traditional aggregation approach, especially for sparsely populated production possibility sets and for frontiers that also change shape over time. Furthermore, our global indices can be used for unbalanced panels without disregarding any information. Finally, we show how the global indices are meaningful for calculating differences between frontiers from different groups rather than different time periods as illustrated in a small case study of bank branches in different countries.      

基于SBM和Malmquist指数的我国物流业能源效率评价

基于2003-2017年我国30个省(市、区)的面板数据,通过SBM模型和Malmquist指数,从静态和动态两个视角分析我国物流业能源效率。研究发现,就静态角度而言,我国物流业能源总体效率为0.62,还处于较低的水平,各地区之间差异明显,在观测期内东部沿海地区一直处于全国领先水平,西南地区效率最低。从动态角度来看,我国Malmquist指数均值为0.988,说明物流能源全要素生产率下降了1.2%,下降的原因是技术效率与技术进步共同作用的结果;全国八大区域中除北部沿海、东部沿海和南部沿海的Malmquist指数呈上升趋势外,其余地区均呈现不同程度的下降,技术进步是导致区域差异的主要原因。为此,提出优化物流产业结构、提高物流技术水平、因地制宜出台相关物流政策等措施,可进一步提升我国物流业能源效率。     

The productivity of private and social farms: Multilateral Malmquist indices for Slovene dairying enterprises

Applying programming techniques to farm-level panel data for four cooperative and 12 private dairy farms in the Yugoslav Republic of Slovenia gives estimates of technical efficiency, scale efficiency, and technical progress. These are used to construct multilateral Malmquist indices of total factor productivity (TFP). For the cooperatives, TFP growth has been slow and is attributable to technical progress. For the private farms, technical progress was also slow, but TFP growth was faster due to improved efficiency. Scale inefficiency explains the poorer absolute performance of the private farms, indicating the need for land reform as well as technological change.     

Measurement of Productivity Changes: Two Malmquist Index Approaches

The adjacent Malmquist productivity index is compared to the more recently suggested base period Malmquist productivity index. The two index approaches are evaluated with respect to base period dependency, the circular test, and with respect to a set of additional classical index tests. In addition it is shown that the base period index is independent of base period if and only if the marginal rate of substitution of inputs is independent of time. Finally, the adjacent and the base period indexes are put through a Monte Carlo (bootstrap) test to see if they yield similar results when applied to a panel of Swedish pharmacy data.     

A Parametric Distance Function Approach for Malmquist Productivity Index Estimation

Malmquistindexes of productivity are generally estimated using index numbertechniques or non-parametric frontier approaches. The aim ofthis paper is to show that Malmquist indexes can be estimatedin a similar way using parametric-deterministic or parametric-stochasticfrontier approaches. To allow a multi-output multi-input technologyand for technical change in production, we adopt an output distancefunction which is specified in a translog form. We then showthat using the estimated parameters, several radial distancefunctions can be calculated and combined in order to estimateand decompose the productivity index. Finally, this approachis applied to a panel of Spanish insurance companies. The mainresults confirm those generally obtained for financial services:very low rates of growth and technical change in spite of a rapidderegulation process and expansion of activity.     

基于DEA方法的宁波工业效率评价

工业发展是经济增长的中流砥柱,工业效率和产业结构优化息息相关。在由资源消耗型、劳动密集型产业向资本、技术密集型产业方向调整的趋势下,如何评价工业效率是一个首要的问题。宁波产业结构仍有不合理之处,需要进一步加快转型升级,继续重视技术进步的重要作用,并加大力度改进纯技术效率。     

Exact decomposition of the Fisher ideal total factor productivity index

Decompositions of total factor productivity (TFP) shed light on the driving factors behind productivity change. We develop the first exact decomposition of the Fisher ideal TFP index which contains no debatable mixed-period components or residuals. We systematically isolate five effects of (1) technical change, (2) technical efficiency, (3) scale efficiency, (4) allocative efficiency, and (5) price effect. The three efficiency components (2–4) represent the efficiency of achieving a given target point. Components (1) and (5) capture the changes of the target point. While the technical change component is well-established, changes in the relative input–output prices can have real effects on the scale and scope of the target. Such changes are captured by the new price effect component (5). The new decomposition is compared with existing decompositions both in theory and by means of an empirical application to a panel data of 459 Finnish farms in years 1992–2000.

Korean And Taiwanese Productivity Performance: Comparisons at Matched Manufacturing Levels

We compare the productivity performances of 15 matched manufacturing sectors in Korea and Taiwan, using the Malmquist productivity indexes, based on category-wise meta frontiers, 1978–1996. Comparisons at the sector levels are made using sequential multiplicative products of the indexes. The overall productivity and technology growth rates of Taiwan were higher than those of Korea. However, at disaggregated levels, the productivity and technology growth rates of the high-tech industries of Korea were much larger than those of Taiwan, while Taiwans high overall growth rate rested mainly on its traditional and basic industries. The leading innovators of both countries are also discussed.JEL Classification: C43, D24, L16, O11, O47, O53     

我国技术效率、技术进步与生产率区域差异的实证研究

本文用非参数Malmquist指数方法研究了我国全要素生产率的增长状况及其区域差异,并将其分解为技术进步和技术效率,同时采用增长回归法对我国地区之间TFP、技术效率、科技进步的差异进行了检验。研究表明:1994-2007年间我国全要素生产率年均增长率达到1%,主要得益于技术进步水平的提高,技术效率总体上呈现下滑趋势;我国各省市区的科技进步、技术效率、TFP变化呈现出较为明显的差异,其中TFP和科技进步变化差异最为明显,而技术效率变化差异不大。     

Productivity and efficiency of state-owned enterprises in China

The purpose of this paper is to evaluate the variations in SOE efficiency and productivity from the perspectives of macroeconomic fluctuations and systematic reform in China during 1986–2003. We use Data Envelopment Analysis to measure SOE efficiency. Subsequently, we use the Malmquist Index of Productivity change to measure productivity growth. The empirical results show that SOE efficiency and productivity exhibited obvious improvements during periods of strong systematic reform and a prosperous economy. The systematic reform after 1998 had a clear-cut impact on SOE performance.

Productivity changes in pre-crisis Western European banks: Does scale effect really matter?

Insofar as the completion of the Single Market for Financial Services, it has presented new challenges for European Banking industries. In this study, we use a recently developed generalized metafrontier Malmquist productivity index (gMMPI) to provide insights on productivity growth. We extend the gMMPI to broaden the index's capacity by decomposing various sources of productivity change in the metafrontier context. The sample contains commercial banks from 12 Western European countries prior to the recent financial crisis. A key advantage of our extension is that it introduces the role of scale effects. The empirical results show that an average bank's productivity growth arises mainly from technical changes and scale effects. Moreover, smaller and larger banks grow faster than medium ones. In addition, conservative banks tend to grow faster. These findings suggest that a more competitive and integrated financial market induced by financial deregulation is indeed able to improve banks’ productivity.     

Comparing mean efficiency and productivity scores from small samples: A bootstrap methodology

This paper provides a bootstrap methodology for constructing confidence intervals for means of DEA and econometrically estimated efficiency scores, Malmquist productivity indices, and other similar measures in small samples. The procedure is nonparametric since no distributional assumptions are required. An empirical example is provided.This research was performed while Wilson was under contract with the Management Science Group, US Department of Veterans Affairs, Bedford, MA 01730.