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.     

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.     

A Cost Indirect Evaluation of Productivity Change in UK Universities

The study provides an empirical analysis of productivity change in publicly-funded UK universities, against a background of government policy specifically designed to enhance the productive efficiency of universities in the provision of teaching and research. The nonparametric analysis employs a cost indirect approach to measuring productivity change, taking explicit account of the quality of research output and decomposing productivity change into technical change and efficiency change. The latter is also decomposed into changes in pure technical efficiency, scale efficiency and output congestion. Changes in size efficiency are also computed. On average, productivity declined by 4% over 1989–92, mainly as a result of regressive technical change. Evidence of biased technological change was found, with the frontier shifting out in favour of the teaching outputs and in relative to the research output.     

Index Number Concepts,Measures and Decompositions of Productivity Growth

This paper explores the definitions and properties of total factor productivity growth (TFPG) indexes, focusing especially on the Paasche, Laspeyres, Fisher, Törnqvist, and implicit Törnqvist ones. These indexes can be evaluated from observable price and quantity data, and certain of these are shown to be measures of TFPG concepts and theoretical indexes that have been proposed in the literature. The mathematical relationships between these and quantity aggregates, financial measures, and price and quantity indexes are explored. Decompositions of the productivity growth indexes are also given. The paper concludes with a brief overview of some limitations on our analysis.     

Scale Efficiency and Productivity Change

Thefirst objective of this paper is to develop a generic measureof scale efficiency for a multiple-input multiple-output firm,using basic principles of modern production theory. The secondobjective is to combine measures of technological change, technicalefficiency change, and scale efficiency change into an encompassing(primal) measure of productivity change. This measure and itsdecomposition is compared to a number of recent proposals inorder to shed light on what seems to have become a controversialissue. The paper proceeds by developing an encompassing dualmeasure of productivity change. This dual measure is then appliedto panel data of a set of Dutch firms, continuing the empiricalwork of Balk (1998). It turns out that extending the Malmquistproductivity index with factors measuring scale efficiency changeand input mix change leads to appreciably different outcomes.     

Economic Efficiency and Productivity Growth in the Post-Privatization Chilean Hydroelectric Industry

Chiles hydroelectric industry was privatized in 1985, but required to operate within a regulatory framework designed to achieve a competitive outcome. A centralized dispatch center was established to ensure production at minimum cost, subject to constraints on minimum release and minimum reservoir stock. A reluctance to rapidly reduce the industry work force may also have existed. We develop a constrained cost-minimization model for thermal and hydro generation to obtain the shadow price of water and to determine the qualitative effect of these constraints on allocative efficiency. Using panel data from 1986–1997, we assess the economic efficiency of the hydro industry by estimating a stochastic distance frontier and price equations from the dual cost-minimization problem. We find dramatic increases in technical change and productivity change, with positive efficiency change for all years but the last. We also observe a dramatic decline in allocative inefficiencies over our sample period. The share of hydro generation from run-of-river and thermal plants relative to reservoir plants has increased, presumably in reaction to the water release and reservoir stock constraints, reducing the relative over-utilization of capital to water from the pre-1985 regime. Further, the over-utilization of labor to capital and water has fallen over time. However, considerable allocative inefficiencies remain, consistent with our finding of industry-wide scale economies. Substantial cost savings would result if technical and allocative efficiency were eliminated.JEL Classification: L94, D24     

Productivity Growth in the Western Hemisphere (1978–94): The Caribbean in Perspective

Productivity growth, technical efficiency change, and technological change were measured for a sample of 30 countries in the Western Hemisphere for the 1978–1994 period using the Malmquist index. The Caribbean compared unfavorably with North America and the Latin American regions. Evidence indicated some support for the convergence hypothesis. Regression analysis indicated that productivity growth in the Caribbean was positively associated with civil, economic, and political liberty.     

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.      

A Decomposition of Total Factor Productivity Growth in Korean Manufacturing Industries: A Stochastic Frontier Approach

This paper applies a stochastic frontier production model to Korean manufacturing industries, to decompose the sources of total factor productivity (TFP) growth into technical progress, changes in technical efficiency, changes in allocative efficiency, and scale effects. Empirical results based on data from 1980–1994 show that productivity growth was driven mainly by technical progress, that changes in technical efficiency had a significant positive effect, and that allocative efficiency had a negative effect. This study suggests that specific guidelines are required to promote productivity in each industry, and provides additional insight into understanding the recent debate on TFP growth in Korean manufacturing.     

Productivity Measurement from a Reference Technology: A Distance Function Approach

An approach to productivity measurement based on distance function measurement is developed in this paper. A series of reference technologies are constructed by augmenting observed inputs and outputs such that the resulting effective netputs are consistent with the weak axiom of profit maximization. Geometric means of year-ahead and year-back distance function values serve as measures of multifactor productivity changes. Both primal measures from the inner bound and dual measures from the outer bound of the reference technologies are calculated. Resulting productivity measures are similar to those derived using index number approaches, but potentially provide greater information regarding the reference technologies.     

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。     

基于MEA和Luenberger生产率指数的中国商业银行效率及生产率模式评估

引入多方向效率分析模型(MEA)模型对我国16家上市商业银行2011—2018年各指标的效率进行了评估,结果显示国有银行效率低下的主要原因是净利息利润、存款和劳动力的效率较低。为进一步研究中国商业银行生产率的构成情况,引入基于方向性距离函数的Luenberger生产率指数及其分解结果,来评价中国商业银行各指标的生产率,得到中国商业银行生产率的变化主要归功于净利息利润和净非利息利润生产率的变化。     

Aggregation of Productivity Indices: The Allocative Efficiency Correction

Aggregation of productivity indices is known to be consistent under very restrictive conditions only. This paper quantifies the aggregation inconsistency.     

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.     

DEA-based Malmquist productivity indexes for understanding courts reform

Currently there is no clear empirical evidence as to which the most appropriate reform to improve national judicial systems might be, i.e., whether it is better to implement a policy which focuses on judges and their incentives or, alternatively, a policy aimed at reorganizing the courts' structure.The judicial system, like many other sectors of the public administration, is an industry producing a specific good – justice – and, accordingly, it can be studied by using the customary tools of production theory. The paper applies the two-stage analysis by Simar and Wilson (2007) and the Malmquist index to the judiciary, in order to better understand the impact of a specific policy on the productivity of the Italian tax judiciary.The results highlight strong heterogeneity among courts, depending on their geographical location, with North-West and North-East of Italy as the most efficient macro areas. Moreover, by decomposing the index into change in efficiency and change in technology, this work provides a further glimpse into the judiciary's production organization. Interestingly, the evidence shows that a reduction in the number of active sections has had a negative impact on the overall performance of the courts (i.e., a negative change in efficiency of 0.0103, with a p-value < 0.01), although the reorganization of the residual sections has possibly determined a more effective use of the remaining resources (i.e., a positive change in technology of 0.00285, with a p-value < 0.01). Hence, technology does not fully replace the productive role of the judges.The overall results suggest that adjudication is a labor-intensive activity and, although fine-tuning their organization can indeed enhance the productivity of the courts, the role of the judges still remains pivotal. There might indeed be ways to increase the efforts made by judges and a suitable policy should create incentives aimed at boosting their productivity.     

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.     

Adapting Productivity Theory to the Quadratic Cost Function. An Application to the Spanish Electric Sector

In this article we have adapted productivity analysis to the case of a cost model using a quadratic cost function and discrete data. The main theoretical result is a productivity index that can be decomposed into modified versions of the contribution of technical change and the effect of the variations in the scale of production. This framework has been applied to the study of the Spanish electric sector from 1985 to 1996, during which relevant regulatory changes were introduced in order to increase productivity. For this, a normalized quadratic cost function was estimated. The results show important productivity gains with both technical change and scale effect playing important roles.     

Productivity Growth, Efficiency and Outsourcing in Manufacturing and Service Industries

This paper is a survey of recent contributions to, and developments of, the relationship between outsourcing, efficiency and productivity growth in manufacturing and services. The objective is to provide a thorough and up–to–date survey that provides a significant discussion on data, as well as on the core methods of measuring efficiency and productivity. First, the readers are introduced to the measurement of partial and total factor productivity growth. Different parametric and non–parametric approaches to the productivity measurement in the context of static, dynamic and firm–specific modelling are discussed. Second, we survey the econometric approach to efficiency analysis. The issues of modelling, distributional assumptions and estimation methods are discussed assuming that cross–sectional or panel data are available. Third, the relationship between outsourcing and productivity growth in manufacturing and services is discussed. The correspondence between a number of hypotheses and empirical findings are examined. Examples of varieties of relevant empirical applications, their findings and implications are presented. Fourth, measurement of inputs and outputs in manufacturing and services are discussed. Finally, to promote useful research, a number of factors important to the analysis of outsourcing, efficiency and productivity growth in the service sector are summarised.     

Malmquist productivity index for multi-output producers: An application to electricity generation plants

Different types of plants are used to generate electricity in the US: single-, multi-, and mixed-electricity plants. In this paper, we question the best type/design of plants for both renewable and non-renewable electricity. To do so, we suggest a new index that takes the form of a Malmquist productivity index. The specificity of our new index is that it offers the option to investigate the performances and the causes of the performance changes for each type of electricity separately; this is not possible when relying on more standard indexes. Moreover, our new index takes the links between the inputs and the outputs into account, and is nonparametric in nature. Using our index, we study the performances of more than 5000 plants for the period 2000–2012. Our findings reveal that single-electricity plants perform better for renewable electricity, while multi-electricity plants perform better for non-renewable electricity. This is coherent with the decreasing importance of multi-electricity plants in the US, and the increasing importance of single-electricity plants producing renewable electricity. Furthermore, our results do not suggest that combining renewable and non-renewable electricity generations within a plant improves the performance of the plants. Finally, we demonstrate that the reasons for the changes in performance are different for each type of electricity and plant.