Measure Of Technical Inefficiency Research Articles

The standard reverse approach for decomposing economic inefficiency

The traditional approach decomposing profit inefficiency into the sum of its technical and its allocative components identifies first the frontier projection of each firm based on the exogenous choice of a specific technical measure, e.g., based on slacks, directional, etc. However, in real life situations, firms and organizations are interested in benchmarking themselves against competitors representing the largest feasible profit improvement given market prices. Resorting to the recently defined general direct approach decomposition of profit inefficiency, which decomposes profit loss into the profit technical gap existing between the firm and its frontier projection, and a remaining profit allocative gap, we introduce a decomposition that endogenizes the technical component. This is achieved by securing technical inefficiency reductions that, simultaneously, search to maximize the profit of the projected benchmark. The proposal defines a new measure of technical inefficiency that corresponds to a monetized version of the weighted additive model. We also present a normalized version of the reversed decomposition that is units’ invariant through the definition of a suitable normalization factor.

Parametric estimation of a gauge function and a measure of technical efficiency

PurposeThis paper proposes the use of a gauge function as a measure of technical efficiency. The measure of technical inefficiency from a gauge function is desirable as the estimation of a gauge function is not subject to the endogeneity problem under the behavioral assumption of profit maximization in the competitive market.Design/methodology/approachThe authors address three important properties of a gauge function, i.e. linear homogeneity, monotonicity and convexity in inputs and outputs, and show how such properties are utilized in its estimation. Then, the authors apply the estimation of a gauge function to US Blacksmiths in 1850 and 1880 to show that a failure to satisfy such properties may lead to an incorrect inference on the technical efficiency.FindingsThe authors find that the Blacksmiths in the 1850s were technically more efficient than the ones in the 1880s, indicating technical regress in Blacksmithing when the properties are satisfied.Originality/valueThis paper introduces a measure of technical inefficiency from a gauge function and shows how to estimate the gauge function parametrically for the measure. The authors show McFadden's gauge function and its properties, which differ from the properties of other distance functions. The authors emphasize linear homogeneity as well as monotonicity and convexity in inputs and outputs, which must be satisfied in the estimation of a gauge function.

On technical inefficiency indicators at the industry level

In this note, we show how alternative measures of technical inefficiency at the industry level–evaluated along different direction vectors–are related to one another. We exploit the homogeneity property of the directional distance function with respect to the direction vector, to verify that aggregate (industry) efficiency evaluated relative to the industry aggregate input-output vector is equal to the average of the individual efficiency scores in the industry evaluated relative to the average input-output vector.

Exploratory Analysis of the Activity Time-Use Frontier and Its Effect on Episodic Well-Being: Data from the Disability and Use of Time Survey

The role of time (as a constrained resource) in terms of budgets and expenditures is of great importance in travel behavior analysis within the context of daily activity engagement choices, emotional well-being, and quality of life. This research investigated the behavioral links between activity time budgets and episodic well-being measures in a two-stage process, using data from the 2009 Disability and Use of Time Survey. First, with the use of the episodic-level data, time budgets were formulated with the use of a stochastic frontier modeling approach. The technical inefficiency measure that represented the degree to which an individual expended his or her time (or an upper bound of the time budget) in activity engagement was also derived. Second, with the use of this measure of technical inefficiency, the effects on reported individuals’ episodic well-being measures were further investigated. The indicators of well-being—happiness, calmness, frustration, sadness, worry, tiredness, and pain—were analyzed with a multivariate ordered probit modeling framework. The models were estimated by controlling for a broad array of covariates related to sociodemographics, activity, and travel characteristics, along with the social contexts of companionship and altruism and global well-being indicators. Empirical results suggested that individuals experienced varying levels of positive and negative emotions from their daily activity time-use patterns, in both efficient and inefficient episodes. Productive episodes (e.g., working and volunteering) with higher time budgets (or inefficiencies) increased the likelihood of individuals experiencing higher levels of negative emotions. The model findings also revealed that high-income households and individuals younger than 65 years old with inefficient time-use patterns exhibited lower levels of happiness and calmness.

The profit function system with output- and input-specific technical efficiency

In a recent paper Kumbhakar and Lai (2016) proposed an output-oriented non-radial measure of technical inefficiency derived from the revenue function. They proposed a closed skew-normal distribution for maximum likelihood estimation but they did not apply the model to data and their technique depends on multiple evaluations of multivariate normal integrals for each observation which can be very costly. In this paper we extend their approach to the profit function and we propose both input- and output-oriented non-radial measures of technical inefficiencies. Although the extension to the translog profit function is trivial many observations, in practice, may contain negative profits. For this reason we provide a nontrivial extension to the Symmetric Generalized McFadden (SGM) profit function. We propose and apply (to a large sample of US banks) Bayesian analysis of the SGM model (augmented with latent technical inefficiencies resulting in a highly nonlinear mixed effects model) using the integrated nested Laplace approximation.

Nonparametric Evaluation of Economies of Scope in the Context of Technical Efficiency: The Case of Rice and Vegetable Farms in Korea

This paper provides a nonparametric evaluation of economies of scope in the context of technical efficiency allowing for non‐convexity, with an application to Korean rice and vegetable farms. Relying on non‐parametric‐free disposal hull and data envelopment analysis approaches and input–output data for rice and vegetable farms from the Korea Farm Household Economy Survey data collected in 2007, this article examines technical inefficiency and its decomposition under non‐convexity and convexity. Empirical measures of technical inefficiency and its decomposition results are provided, with a focus on a component of technical inefficiency associated with economies of scope (i.e. diversification benefits) under non‐convexity in production technology. The decomposition measures of technical inefficiency include pure technical inefficiency, size inefficiency and diversification inefficiency. The results provide empirical evidence supporting size‐dependent diversification strategies, where benefits of diversification are larger for small farms on average compared to those of large farms.

Production Efficiency and Exit in Rights-Based Fisheries

Economic theory predicts that the least-efficient vessels are more likely to exit a fishery following the transition to an individual transferable quota (ITQ) management regime. Tools are needed to help analysts predict the likely degree and distribution of consolidation prior to implementing ITQ programs. This research utilizes a one-stage estimation procedure to determine the degree to which one’s technical inefficiency preceding an ITQ regime influences the likelihood of exiting. Our results indicate that a vessel’s measure of technical inefficiency is a significant and positive factor in explaining whether it exits the fishery following the implementation of ITQs. <i>(JEL Q22)</i>

An overall measure of technical inefficiency at the firm and at the industry level: The ‘lost profit on outlay’

As a measure of overall technical inefficiency, the Directional Distance Function (DDF) introduced by Chambers, Chung, and Färe ties the potential output expansion and input contraction together through a single parameter. By duality, the DDF is related to a measure of profit inefficiency, which is calculated as the normalized deviation between optimal and actual profit at market prices. As we show, in the most usual case, the associated normalization represents the sum of the actual revenue and the actual cost of the assessed firm. Consequently, the corresponding profit inefficiency measure associated with the DDF has no obvious economic interpretation. In contrast, in this paper we allow outputs to expand and inputs to contract by different proportions. This results in a modified DDF that retains most of the properties of the original DDF. The corresponding dual problem has a much simpler interpretation as the lost profit on (average) outlay that can be decomposed into a technical and an allocative inefficiency component. In addition, an overall measure of technical inefficiency at the industry level is introduced resorting to the direction corresponding to the average input–output bundle.

A note on “A directional slacks-based measure of technical inefficiency”

In this note we show, by means of several examples, that a directional distance function model cannot be matched with an additive model. Specifically, we show the difference between the directional slacks-based measure and the corresponding directional distance function.

A directional slacks-based measure of technical inefficiency

Radial measures of efficiency estimated using linear programming (LP) methods can be biased since slack in the constraints defining the technology suggests that at least one input can be reduced, or one output can be expanded, even though a firm is deemed to be “technically efficient.” In this paper, we propose a directional slacks-based measure of technical inefficiency to account for the potential of slack in technological constraints. When no such slacks exist, directional slacks-based inefficiency collapses to the directional technology distance function. Our proposed measure helps to generalize some of the existing slacks-based measures of inefficiency. We examine the financial services provided by Japanese cooperative Shinkin banks, and estimate their inefficiency during the period 2002–2005. This inefficiency declined slightly during the period. We thus propose that slack is an important source of inefficiency which is often not captured by the directional technology distance function.

On measures of technical inefficiency and production uncertainty in stochastic frontier production model with correlated error components

Analysis of the behavior of technical inefficiency with respect to parameters and variables of a stochastic frontier model is a neglected area of research in frontier literature. An attempt in this direction, however, has recently been made. It has been shown that in a “standard” stochastic frontier model that both the firm level technical inefficiency and the production uncertainty are monotonically decreasing with observational error. In this paper we show, considering a stochastic frontier model whose error components are jointly distributed as truncated bivariate normal, that this property holds if and only if the distribution of observational error is negatively skewed. We also derive a necessary and sufficient condition under which both firm level technical inefficiency and production uncertainty are monotonically increasing with noise-inefficiency correlation. We next propose a new measure of the industry level production uncertainty and establish the necessary and sufficient condition for firm level technical inefficiency and production uncertainty to be monotonically increasing with industry level production uncertainty. We also study the limiting probabilistic behavior of these conditions under different parametric configuration of our model. Finally we carry out Monte Carlo simulations to study the sample behavior of the population monotonic property of the firm level technical inefficiency and production uncertainty in our model.

Comparisons of Economic Inefficiency Between Output and Input Measures of Technical Inefficiency Using the Fourier Flexible Cost Function

The current paper constructs a Fourier flexible cost function, which is commonly known to be a more general function form than the typical translog form, and can globally approximate a true (but unknown) cost function. Both allocative and technical inefficiencies are considered using the Fourier function in the context of the parametric approach. The former is modeled using shadow input prices and the latter is formulated either by adding an extra term of scale parameter (when the Farrell's (1957) input technical inefficiency is assumed), or by correcting all the terms involving output quantities by a scale parameter (when the Farrell's output technical inefficiency is assumed). It is found that sample banks could save up to 23% of total costs, within the range of 3 and 69% uncovered by the previous works, in which allocative inefficiency plays a more important role than technical inefficiency. Furthermore, the cost of misallocated labor input alone constitutes more than 80% of total allocative inefficiency. Financial deregulation starting from 1991 in Taiwan appears to have improved economic efficiency of the banking industry.

Estimating Farm Efficiency in the Presence of Double Heteroscedasticity Using Panel Data

The accuracy of technical efficiency measures is important given the interest in such measures in policy discussions. In recent years the use of stochastic frontiers has become popular for estimating technical inefficiency, but estimated inefficiencies are sensitive to specification errors. One source of such errors is heteroscedasticity. This paper addresses this issue by extending the Hadri (1999) correction for heteroscedasticity to stochastic production frontiers and to panel data. It is argued that heteroscedasticity within an estimation can have a significant effect on results, and that correcting for heteroscedasticity yields more accurate measures of technical inefficiency. Using panel data on cereal farms, it is found that the usual technical efficiency measures used in stochastic production frontiers are significantly sensitive to the extended correction for heteroscedasticity.

Capacity utilisation and profitability: A decomposition of short-run profit efficiency

The principal aim of this paper is to measure the amount by which the profit of a multi-input, multi-output firm deviates from maximum short-run profit, and then to decompose this profit gap into components that are of practical use to managers. In particular, our interest is in the measurement of the contribution of unused capacity, along with measures of technical inefficiency, and allocative inefficiency, in this profit gap. We survey existing definitions of capacity and, after discussing their shortcomings, we propose a new ray economic capacity measure that involves short-run profit maximisation, with the output mix held constant. We go on to describe how the gap between observed profit and maximum profit can be calculated and decomposed using linear programming methods. The paper concludes with an empirical illustration, involving data on 28 international airline companies. The empirical results indicate that these airline companies achieve profit levels which are on average US$815m below potential levels, and that 70% of the gap may be attributed to unused capacity.

Technological leadership and variety: A Data Envelopment Analysis for the French machinery industry

We investigate structure and structural change within the French machinery industry from 1984–1991 in order to detect the apparent technology leaders and to get an account of the technological variety within the sector. The theoretical background of the paper is found in modern approaches to the economics of innovation and technology, where the very nature of technological knowledge and the local character of technological change are seen as a fundamental reason for the use of different technologies and for the different performances of firms. We apply a procedure that allows us to take into account such different performances and variety, Data Envelopment Analysis (DEA). As one major result, we find several best-practice technologies as well as a measure of technical inefficiency, allowing us to classify firms with respect to their relative technical performance. Moreover, technology leaders can be assigned to specific “technology fields”. The change within and between these fields over time is investigated.

On the measurement of technical efficiency in the public sector

Existing measures of technical inefficiency obtained through linear programming models in the public sector do not properly control for environmental variables that affect production. It will be shown that the consequences of not controlling for these fixed factors are biased estimates of technical efficiency. This paper extends the mathematical programming approach to frontier estimation known as Data Envelopment Analysis to allow for environmental variables. This modified model will be then contrasted with the existing model that purportedly controls for exogeneous factors to measure public sector efficiency with simulated data. The results provide evidence that the existing Data Envelopment Analysis model will overestimate the level of technical inefficiency and that the modified model developed in this paper does a better job controlling for exogenous factors. The modified model is also applied to analyze the technical efficiency of school districts.

Firm size and technical efficiency: Applications of production frontiers to Indian survey data

This paper is an empirical investigation of the relationship between relative technical efficiency and firm size in four Indian manufacturing industries. A frontier translog production function is used to derive measures of technical inefficiency at the enterprise level. Given the properties of the estimated production frontier these indices of technical efficiency are also indices of total factor productivity (TFP) which is the single most widely accepted measure of productive efficiency. Variations in technical efficiency are correlated with several explanatory variables, including size of firm. Firm size is found to be positively associated with relative productive efficiency in only one of the four industries.