A hedonic-output-index-based approach to modeling polluting technologies

Despite some recent criticisms, the conventional radial distance function, which treats undesirable by-products as either frontier shifters or inputs, remains a popular go-to formulation of polluting production processes among practitioners. This unfading popularity is arguably driven by the ability of radial distance functions, unlike alternative directional distance functions, to allow for unit-free multiplicative changes in arguments as well as, by implicitly postulating the radial direction, to free researchers from the dilemma of having to explicitly choose the directional vector. In this paper, we offer a generalization of the standard radial distance function to polluting technologies that can accommodate undesirable by-products in a more economically meaningful way. Specifically, we propose modeling undesirable outputs via a hedonic output index, which is meant to ensure that pollutants are treated as outputs, as opposed to inputs or theoretically unregulated frontier shifters, while also recognizing their undesirable nature. By using a radial input distance function generalized to encompass an (unobservable) hedonic output index of desirable and undesirable outputs, we are able to meaningfully describe relationships between different products (including the complementarity of desirable and undesirable outputs) within producible output sets as well as to represent technically feasible polluting production possibilities given inputs. An empirical application of our methodology to the case of Dutch dairy farms in 2001–2009 demonstrates the complexity of interactions between outputs, thereby attesting to the value of more elaborate representations of production possibilities.     

BOD7 production function of the Finnish pulp and paper industry

Traditional neoclassical production theory analyzes the relationship in a production process between inputs and outputs which have a positive market value for the producer. The externalities of production, which have nonpositive market values, are discarded or included as the cost in a cost function. This paper studies the relationship between biological oxygen demand (BOD) emissions, an output of nonpositive value, and traditional factors of production, that is, investments, labor, output, and raw materials. An emissions production function is theoretically presented and empirically estimated with data from the Finnish pulp and paper industry. The approach is based on the observation that it is the minimization of effluents rather than, or together with, the maximization of yields, that increasingly defines the technological frontier of production processes. The empirical function estimation demonstrates the validity of the proposed novel modeling approach.     

技术效率、资本深化与地区差异——基于随机前沿模型的中国地区收敛分析

本文提出了基于随机前沿生产函数的地区增长差异分析框架,将各地区劳均产出差距分解为劳均资本差异、经济规模差异和全要素生产率差异三个部分。利用改革时期的省级数据,本文发现尽管要素投入仍然是中国经济增长的主要源泉,但全要素生产率是造成地区差异的重要原因,在地区劳均产出差异中的贡献份额不断提高,将成为今后中国地区增长差异的主要决定力量。而且,1990年以来中国地区全要素生产率呈现出绝对发散趋势,严重的技术扩散壁垒加剧了体制转轨过程中的“马太效应”,短期内地区差距不会随经济发展而缩小,政府需要通过适当的政策对地区发展进行调节,尤其要促进地区间技术扩散,使各地区更好地分享技术创新和体制创新的成果。     

Economic versus physical input measures in the analysis of technical efficiency in fisheries

The measurement of technical efficiency requires the estimation of an appropriate production frontier. This is based on a set of inputs that are assumed to influence the level of output. Deviations from this frontier production function are separated into random variation and inefficiency. However, mis-specification of the production function through the use of inappropriate input measures may result in a bias in the measures of inefficiency. In fisheries, production is generally assumed to be a function of stock size, fishing time and the level of physical inputs employed. Defining the appropriate levels of physical inputs, however, is not straightforward, and several alternative measures are available. While economic measures of capital are more intuitively appealing, physical measures are generally readily available and hence less costly to collect. In this study, technical efficiency is measured for three fleet segments operating in the North Sea using three different gear types. The effects of using different measures of capital in the production frontier on the efficiency estimates are examined.     

基于随机前沿生产函数的我国烟草企业效率分析

本文选取12家烟草企业作为研究对象,利用随机前沿生产函数考察了从2001年到2005年5年期间的烟草企业生产效率.研究结果表明:中国烟草企业之间的生产效率差异并不大;企业规模与企业的生产效率呈正比例关系.本文研究结果的重要政策含义是,如果继续提高烟草企业的生产效率,就必须打破企业间的市场分割,深化企业间的联合重组,保持企业的适度规模.     

Adjustment of inputs and measurement of technical efficiency: A dynamic panel data analysis of the Egyptian manufacturing sectors

The purpose of this article is to construct a dynamic stochastic production frontier incorporating the sluggish adjustment of inputs, to measure the speed of adjustment of output, and to compare the technical efficiency estimates from this dynamic model to those from a static model. By assuming instantaneous adjustment of all inputs, a static model may underestimate technical efficiency of a production unit in the short-run. However, in this article I show that under the assumption of similar adjustment speed for all inputs, a linear partial adjustment scheme for output characterizes the dynamic production frontier. The dynamic frontier with time-invariant technical efficiency is estimated using the system GMM (generalized method of moments) estimator. Applying the model and estimation method on a panel data set spanning 9?years of data on private manufacturing establishments in Egypt, I find that (1) the speed of adjustment of output is significantly lower than unity, (2) the static model underestimates technical efficiency by 4.5 percentage points on average, and (3) the ranking of production units based on their technical efficiency measures changes when the lagged adjustment process of inputs is taken into account.     

VALUATION OF HOUSEHOLD PRODUCTION AT MARKET PRICES AND ESTIMATION OF PRODUCTION FUNCTIONS

This paper estimates household production functions directly, considers their characteristics, and compares them with previous indirectly estimated functions. Interviews with 135 Missoula, Montana area married couple households provided the data. The results suggest that endogeneity and a previous lack of output and capital data which led to the use of the indirect methodology are not insurmountable problems. The results tend to confirm the feasibility of directly measuring household outputs since the production function results are reasonable. Directly estimated household production functions offer the possibilities for estimation of short-term household output changes and testing hypotheses about households' economic behavior.     

Institutions and Cultural Heterogeneity as Determinants of National Income: A Random‐coefficients Stochastic Frontier Model

Previous research on total factor productivity (TFP) shows that cross‐country differences in income cannot be fully explained by stocks of capital (K), labor (L) and human capital (E). In addition, the omission of major production inputs or the use of proxies to estimate unobservable inputs leads to biased estimation results. This study addresses the above issues by employing a novel econometric approach and provides empirical evidence that a fixed production input, and therefore a country's income, is positively correlated with the existence of British‐style institutions and negatively correlated with cultural heterogeneity and Spanish‐style institutions. Our methodology is twofold. First, using data for 62 countries from 1980 to 2004, we regressed a random‐coefficients stochastic production frontier that allows estimating a fixed unobservable production input without using proxies. Second, the estimated fixed production input is shown to be related to colonial institutions and cultural heterogeneity by means of ordinary least squares and feasible generalized least squares regressions.     

Technical efficiency of Spanish manufacturing firms: a panel data approach

This paper estimates the levels of technical efficiency reached by Spanish manufacturing firms, through an econometric estimation of frontier production functions for fifteen sectors of activity, and also, obtains other relevant technological measurements of these productive processes such as the scale and the technical progress parameters. The methodology used is the panel data methods (Schmidt and Sickles, 1984). The statistical source is provided by the Survey on Business Strategies (Encuesta Sobre Estrategias Empresariales), a panel of data covering 855 Spanish manufacturing firms observed over the period 1990-1994. Our econometric results confirm the great heterogeneity in the firms' efficiency, the predominance of constant returns to scale and the great rate of technological progress.     

Shadow prices of environmental outputs and production efficiency of household-level paper recycling units in Vietnam

The production efficiency and shadow prices of three environmental outputs (BOD, COD, and SS) of 63 household-level paper-recycling units, from a recycling craft village in Vietnam, are assessed A two-stage procedure, linear programming and stochastic estimation, is used to estimate output distance function. Social capital as a production factor and environmental outputs are included in the output distance function. Results indicate that production efficiencies could potentially be improved by 28%. There is a substantial variation in the shadow prices of environmental outputs among the production units of different types of paper products. Furthermore, the average shadow prices of the three environmental outputs are all positive. This indicates a potential for improving environmental quality though introducing pollution-prevention methods to paper-recycling production processes in Vietnam (e.g., recirculation of wastewater), and suggests that it may be inappropriate to restrict the shadow prices of environmental outputs to be non-positive for the analysis of some production processes.     

Pairwise-Difference Estimation of a Dynamic Optimization Model

We develop a new estimation methodology for dynamic optimization models with unobserved shocks and deterministic accumulation of the observed state variables. Investment models are an important example of such models. Our pairwise-difference approach exploits two common features of these models: (1) the monotonicity of the agent's decision (policy) function in the shocks, conditional on the observed state variables; and (2) the state-contingent nature of optimal decision making which implies that, conditional on the observed state variables, the variation in observed choices across agents must be due to randomness in the shocks across agents. We illustrate our procedure by estimating a dynamic trading model for the milk production quota market in Ontario, Canada.     

Inefficiency in the Spanish Cooperative Banking Sector

This paper researches X-inefficiency and scale economies in Spanish cooperative banking between 1988 and 1996, using the stochastic cost frontier methodology. The Translog cost function, with three outputs and three inputs, is used to measure X-inefficiencies across time and size. During this period of time there is no important reduction in inefficiency levels, so deregulation and internationalization has little effect on the Spanish cooperative banking market. We can see that large cooperative banks are less inefficient than small ones, indicating that it would be convenient to increase the size of these kinds of banks in order to reduce inefficiencies in this sector. We also find scale economies during this period.     

中国商业银行成本效率实证研究

基于随机前沿法原理,利用超越对数成本函数模型,本文评估了中国14家主要商业银行在1998—2003年间的成本效率情况,并按考虑贷款产出质量的2003年成本效率情况对各银行排序。实证研究结论为(1)中国商业银行总体的成本效率并不很差;(2)国有商业银行成本效率处于上升趋势,股份制商业银行则保持波动攀升趋势;(3)贷款产出质量对中国商业银行的成本效率有明显的负面影响,在考虑产出质量时,国有商业银行成本效率明显落后于股份制商业银行。     

Production equilibria in vector lattices

The general purpose of this paper is to prove quasiequilibrium existence theorems for production economies with general consumption sets in an infinite dimensional commodity space, without assuming any monotonicity of preferences or free-disposal in production. The commodity space is a vector lattice commodity space whose topological dual is a sublattice of its order dual. We formulate two kinds of properness concepts for agents' preferences and production sets, which reduce to more classical ones when the commodity space is locally convex and the consumption sets coincide with the positive cone. Assuming properness allows for extension theorems of quasiequilibrium prices obtained for the economy restricted to some order ideal of the commodity space. As an application, the existence of quasiequilibrium in the whole economy is proved without any assumption of monotonicity of preferences or free-disposal in production. Received: March 9, 1999; revised version: September 4, 2000     

Shadow directional distance functions with bads: GMM estimation of optimal directions and efficiencies

Because of its greater flexibility, the directional distance function (DDF) has been employed with increasing frequency to estimate multiple-input and multiple-output production, where inputs and outputs can be good or bad. However, typically researchers make three restrictive assumptions. First, they assume a direction of movement of firm production toward the frontier. Second, they assume that actual quantities of inputs and outputs are allocatively or price efficient. Third, they assume exogeneity of all inputs and all outputs, except for the normalized one. The first contribution of this paper is to include parameters to estimate optimal directions which correspond to the firm’s profit-maximizing (PM) position. The second contribution is to generalize the DDF to a shadow-quantity DDF. This entails adding distortion parameters to each input and output quantity of the DDF, creating shadow quantities. To estimate the shadow quantities and the structural parameters, we form the shadow DDF system, which includes the shadow DDF and all the first-order price equations from the shadow-PM problem. These include prices for bad inputs and bad outputs, where we approximate their missing prices for use in their first-order price equations. The third contribution is that we estimate the shadow DDF system using a Generalized Method of Moments approach, where all variables are potentially endogenous. This approach is simpler than the Bayesian one employed in Atkinson et al. (Estimating efficient production with bad inputs and outputs using latent prices and optimal directions. Working paper, University of Georgia, Athens, 2016), which estimated shadow prices and optimal directions. Using the same data set, both sets of results are qualitatively very similar, although they differ somewhat quantitatively.     

Scale and efficiency measurement using a semiparametric stochastic frontier model: evidence from the U.S. commercial banks

In this paper, we use the local maximum likelihood (LML) method proposed by Kumbhakar et al. (J Econom, 2007) to estimate stochastic cost frontier models for a sample of 3,691 U.S. commercial banks. This method relaxes several deficiencies in the econometric estimation of frontier functions. In particular, we relax the assumption that all banks share the same production technology and provide bank-specific measures of returns to scale and cost inefficiency. The LML method is applied to estimate the cost frontiers in which a truncated normal distribution is used to model technical inefficiency. This formulation allows the cost frontier, inefficiency effects and heteroskedasticity in both noise and inefficiency components to be quite flexible.      

An analysis of the efficient production frontier in the fishery: implications for enhanced fisheries management

The transformation relationship between factor inputs and outputs - the efficient production frontier (EPF)- contains important information for fisheries managers. A directional technology distance function model of the harvesting technology is used to measure changes in the EPF over time. Frontier shifts are summarized with input- and output-based frontier indicators that are interpreted as measures of bioeconomic productivity change. The model is applied to the Mid-Atlantic surf clam and ocean quahog fishery.     

Justifying the incorporation of the materials balance principle into frontier-based eco-efficiency models

Frontier-based models are an alternative to traditional eco-efficiency ratio indicators. This paper considers two different types, environmentally adjusted production efficiency models and frontier eco-efficiency models, and tries to find justification for incorporating the materials balance principle (MBP) in them. Similar importance is attached to the economic and environmental outcomes of a production process. Like economic outcomes can be derived from inputs and outputs and respective prices, some cases allow for deriving environmental outcomes from the production function with the MBP. After an overview of attempts to incorporate environmental issues in production efficiency models and some reflections why MBP has been neglected in environmental economics and production efficiency analysis, the paper gives basic principles to incorporate the MBP in conventional production efficiency methods and shows how this adjustment leads to a more diversified diagnosis of eco-efficiency. Finally, potentialities and bottlenecks are discussed. Exploiting the MBP in production efficiency and eco-efficiency analysis will facilitate more pro-active eco-efficiency research.     

基于效率视角的步长药业核心竞争力的SFA分析

利用随机前沿法从制造力方面分析步长药业的核心竞争力,主要对随机前沿生产函数参数估计与结果进行分析,并从原材料质量,原材料价格,生产设备先进程度,制造工艺及技术及制造管理体系等方面对技术效率损失进行讨论。     

A robust approach to the measurement of Farrell efficiency

Measurement of efficiency of the frontier production function by Farrell's convex hull method is generalized here in two aspects. One develops a minimax method of estimation by following the Chebyshev principle and the other develops a dummy-variable method of stratifying the entire data set before ordinary regressions are performed to estimate the production frontier. An empirical application to educational production functions illustrates these methods.