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Constant returns-to-scale production technologies with fixed ratio inputs and outputs 固定投入产出比的恒定收益规模生产技术
IF 1.6 4区 经济学 Q3 BUSINESS Pub Date : 2024-08-23 DOI: 10.1007/s11123-024-00734-2
Ole Bent Olesen, Grammatoula Papaioannou, Victor V. Podinovski

In practical applications of data envelopment analysis, inputs and outputs are often stated as ratio measures, including various percentages and proportions characterizing the production process. Such ratio measures are inconsistent with the basic assumptions of convexity and scalability required by the conventional variable and constant returns-to-scale (VRS and CRS) models. This issue has been addressed by the development of the Ratio-VRS (R-VRS) and Ratio-CRS (R-CRS) models of technology, both of which can incorporate volume and ratio inputs and outputs. In this paper, we provide a detailed standalone development of the special case of the R-CRS technology, referred to as the F-CRS technology, in which all ratio inputs and outputs are of the fixed type. Such ratio measures can be used to represent environmental and quality characteristics of the production process that stay constant while simultaneously allowing the scaling of the volume of production. We illustrate the use of the F-CRS technology by an application in the context of school education.

在数据包络分析的实际应用中,投入和产出通常以比率度量的形式表示,包括表征生产过程的各种百分比和比例。这种比率度量与传统的可变规模收益模型和不变规模收益模型(VRS 和 CRS)所要求的凸性和可扩展性的基本假设不一致。为了解决这个问题,我们开发了技术比率-VRS(R-VRS)和技术比率-CRS(R-CRS)模型,这两种模型都可以纳入数量和比率投入和产出。在本文中,我们对 R-CRS 技术的特殊情况(称为 F-CRS 技术)进行了详细的独立开发,在这种情况下,所有比率输入和输出都是固定类型的。这种比率措施可用于表示生产过程中保持不变的环境和质量特征,同时允许生产量的缩放。我们以学校教育中的一个应用来说明 F-CRS 技术的使用。
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引用次数: 0
Productivity, investment slowdown, and misallocation: evidence from Indian manufacturing 生产力、投资放缓和配置不当:印度制造业的证据
IF 1.6 4区 经济学 Q3 BUSINESS Pub Date : 2024-08-01 DOI: 10.1007/s11123-024-00730-6
Sarthak Basu, Subash Sasidharan

Using rich firm-level data of around 12,000 firms over 2004–2016, this study attempts to identify the factors responsible for the slowdown in gross investment and productivity in Indian manufacturing post-Global Financial Crisis. Our analysis reveals that the decline in investment is more pronounced for firms with higher productivity. Furthermore, we find evidence indicating a slowdown in the flow of capital and labor from less productive to more productive firms post-Global Financial Crisis. This indicates that a part of the fall in investment can be attributed to a decline in allocative efficiency, which is likely to have an impact on both aggregate productivity and income. Moreover, we probe into the causes behind the slowdown in the relationship between firm productivity, investment, capital and labor growth. We find that credit misallocation, financial constraints, age, and firm size played key roles in the investment slowdown. Finally, we present a counterfactual scenario by analyzing the extent of extra output and aggregate productivity that could be generated in the absence of misallocation.

本研究利用 2004-2016 年间约 12,000 家企业的丰富企业级数据,试图找出全球金融危机后印度制造业总投资和生产率放缓的原因。我们的分析表明,生产率较高的企业投资下降更为明显。此外,我们发现有证据表明,全球金融危机后,资本和劳动力从生产率较低的企业流向生产率较高的企业的速度放缓。这表明,投资下降的部分原因是分配效率的下降,而分配效率的下降很可能会对总体生产率和收入产生影响。此外,我们还探究了企业生产率、投资、资本和劳动力增长之间关系放缓的原因。我们发现,信贷分配不当、金融约束、年龄和企业规模在投资放缓中起到了关键作用。最后,我们通过分析在没有错配的情况下可能产生的额外产出和总生产率的程度,提出了一种反事实情景。
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引用次数: 0
To chain or not to chain? measuring real GDP in the US and the choice of index number 美国实际 GDP 的测算与指数选择
IF 1.6 4区 经济学 Q3 BUSINESS Pub Date : 2024-07-29 DOI: 10.1007/s11123-024-00732-4
Nicholas Oulton

National Statistical Institutes (NSIs) in advanced countries have generally adopted chain-linking in their national accounts. The United States uses a chained Fisher, an example of a superlative index number, in its national accounts. However the Fisher is only one of an infinite number of superlative index numbers. So an important issue is how sensitive are the estimates of output growth to the choice of index number. This issue is analysed by examining data from the BEA/BLS industry-level integrated production account, 1987–2020. Estimates of superlative and other index numbers are presented for this dataset. The sensitivity of real GDP growth to the value of the crucial parameter in a superlative index number is tested. The extent to which the desirable characteristics of value consistency and aggregation consistency are satisfied for different superlative index numbers is also analysed. The desirability of chain-linking does not follow automatically just from the use of superlative indices. So I also compare chained and unchained versions of these same index numbers. Finally, Europe uses a different approach to output measurement to the US, chained Laspeyres versus chained Fisher. I look at how different US estimates would be if they employed European methodology.

先进国家的国家统计局(NSIs)一般都在其国民账户中采用链式链接。美国在其国民经济核算中使用了链式费雪,这是超等指数的一个例子。然而,费雪只是无数个超等指数中的一个。因此,一个重要的问题是产出增长的估计值对指数的选择有多敏感。我们通过研究 1987-2020 年 BEA/BLS 行业级综合生产账户的数据来分析这一问题。该数据集提供了上位指数和其他指数的估计值。测试了实际 GDP 增长对超标指数中关键参数值的敏感性。此外,还分析了不同的上位指数在多大程度上满足了价值一致性和总量一致性的理想特征。链式链接的可取性并不仅仅来自于超标指数的使用。因此,我还比较了这些相同指数的链式和非链式版本。最后,欧洲采用了与美国不同的产出衡量方法,即链式拉斯佩尔指数与链式费雪指数。我将研究如果采用欧洲方法,美国的估计值会有多大不同。
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引用次数: 0
The inefficiency of courts of justice: industry structure, capacity and misallocation 法院的低效率:行业结构、能力和分配不当
IF 1.6 4区 经济学 Q3 BUSINESS Pub Date : 2024-07-25 DOI: 10.1007/s11123-024-00731-5
Antonio Peyrache, Angelo Zago

In this paper, we introduce an optimization model to quantify the trade-off between resource capacity utilization and disposition time for the caseload of courts of justice. The optimization model takes into account the impact of an increase in demand that may arise when disposition time is reduced. We employ the model to measure the impact of various policy reform scenarios on the length of trials, both at the court and system level. We do so by taking into account the potential reallocation of resources, using the population of Italian courts of justice over the 2005–2012 period. Our results show that if all policy scenarios we discuss were to be implemented, the average length of trials for civil cases would be more than halved, from the current 15.5 months to about 7 months. Implementing best practices, the single most effective policy would be equivalent to a 25% increase in the number of judges (which would otherwise cost around 100 million euros per year).

在本文中,我们引入了一个优化模型,用于量化法院案件量的资源能力利用率和处置时间之间的权衡。该优化模型考虑了在缩短处理时间时可能出现的需求增加的影响。我们利用该模型来衡量各种政策改革方案在法院和系统层面对审判时间的影响。为此,我们使用 2005-2012 年期间意大利法院的人口数量,将潜在的资源重新分配考虑在内。结果表明,如果我们讨论的所有政策方案都得以实施,民事案件的平均审理时间将缩短一半以上,从目前的 15.5 个月缩短至约 7 个月。实施最佳做法,最有效的一项政策相当于增加 25% 的法官人数(否则每年将花费约 1 亿欧元)。
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引用次数: 0
Approximations and inference for envelopment estimators of production frontiers 生产前沿包络估计器的近似和推论
IF 1.6 4区 经济学 Q3 BUSINESS Pub Date : 2024-07-02 DOI: 10.1007/s11123-024-00726-2
Cinzia Daraio, Léopold Simar

Nonparametric methods have been commonly used to assess the performance of both private and public organizations. Among them, the most popular ones are envelopment estimators such as Free Disposal Hull (FDH) or Data Envelopment Analysis (DEA), which estimate the attainable sets and their efficient boundaries by enveloping the cloud of observed units in the appropriate input-output space. However, these nonparametric envelopment techniques do not provide estimates of marginal products and other coefficients of economic interest. This paper presents a new approach that provides local estimates of all the desired partial derivatives and economic coefficients, which complement and complete the analysis based on nonparametric envelopment estimators. We improve nonparametric estimators by estimating nonparametrically smoothed efficient boundaries and providing derivatives and other coefficients without having to assume any parametric structure for the frontier and the inefficiency distribution. Our approach offers several advantages, such as a flexible nonparametric adjustment of the efficient frontier based on local linear models; a general multivariate efficiency model based on directional distances where one can choose the desired benchmark direction; the possibility of assessing the impact of external-environmental variables; a bootstrap-based statistical inference for deriving confidence intervals on the estimated coefficients for nonparametric and robust frontier approximations; the possibility of including factors aggregating inputs or outputs and recovering the estimated coefficients in the original units. To demonstrate the usefulness of the proposed approach, we provide an illustration in the field of education, where economic coefficients are important but the parametric assumptions have been questioned.

非参数方法常用于评估私营和公共组织的绩效。其中,最常用的是包络估算法,如自由丢弃船体法(FDH)或数据包络分析法(DEA),它们通过在适当的投入产出空间中包络观察单位云来估算可实现的集合及其有效边界。然而,这些非参数包络技术无法提供边际产品和其他经济相关系数的估计值。本文提出了一种新方法,可提供所有所需偏导数和经济系数的局部估计值,从而补充和完善基于非参数包络估计法的分析。我们通过估计非参数平滑有效边界来改进非参数估计器,并提供导数和其他系数,而无需假设边界和无效率分布的任何参数结构。我们的方法具有多种优势,例如:基于局部线性模型对有效边界进行灵活的非参数调整;基于方向距离的一般多元效率模型,可以选择所需的基准方向;可以评估外部环境变量的影响;基于自举法的统计推断,可以得出非参数和稳健边界近似的估计系数的置信区间;可以包含输入或输出的集合因素,并在原始单位中恢复估计系数。为了证明所提方法的实用性,我们以教育领域为例进行说明,在该领域,经济系数非常重要,但参数假设受到质疑。
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引用次数: 0
Innovation strategies and firm performance 创新战略与企业绩效
IF 1.6 4区 经济学 Q3 BUSINESS Pub Date : 2024-07-01 DOI: 10.1007/s11123-024-00727-1
Peter Bogetoft, Lene Kroman, Aleksandrs Smilgins, Anders Sørensen

Innovation is often seen as crucial for firm survival and as a way for firms to differentiate themselves from their rivals. However, innovation studies are vague about the actual importance of different innovation strategies. In this study, we distinguish between pure product, process, organizational, and marketing innovations and their combinations. We use a (balanced) panel data set with more than 15,000 firm-year observations for manufacturing firms to analyze the performance of firms with different innovation strategies. Additionally, we investigate from a societal perspective whether innovation facilitates less efficient firms to catch up, or whether firms already utilizing best practices are the main beneficiaries. Using Data Envelopment Analysis (DEA), we find the highest increase in firms’ performance among the firms with innovation strategies that combine product innovation with other innovation types. This finding applies to both the short and the longer term. We also conclude that catch-up is strongest among the firms adopting pure process innovation, whereas the other innovation strategies are primarily associated with frontiers shifts.

创新通常被视为企业生存的关键,也是企业区别于竞争对手的一种方式。然而,创新研究对于不同创新战略的实际重要性并不明确。在本研究中,我们区分了纯粹的产品创新、流程创新、组织创新和营销创新及其组合。我们使用了一个(平衡)面板数据集,其中包含超过 15,000 个制造企业的企业年观测数据,以分析采用不同创新战略的企业的绩效。此外,我们还从社会角度研究了创新是否有助于效率较低的企业迎头赶上,或者已经采用最佳实践的企业是否是主要受益者。通过使用数据包络分析法(DEA),我们发现,在采用将产品创新与其他创新类型相结合的创新战略的企业中,其业绩增幅最大。这一发现既适用于短期,也适用于长期。我们还得出结论,采用纯粹工艺创新的企业追赶能力最强,而其他创新战略主要与前沿转移有关。
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引用次数: 0
The contribution of innovation to farm-level productivity 创新对农场生产率的贡献
IF 1.6 4区 经济学 Q3 BUSINESS Pub Date : 2024-06-25 DOI: 10.1007/s11123-024-00728-0
Parikoglou Iordanis, Emvalomatis Grigorios, Doris Läpple, Fiona Thorne, Michael Wallace

Innovation is a key driver of productivity growth. This paper proposes a novel methodology in order to explore the impact of farm-level innovations on farm productivity and its components (i.e. technology, efficiency and scale) using representative data from Irish dairy farms. We measure innovation by an index based on employed production practices, continuous innovation activity and knowledge weighted by expert opinions. The results suggest that more innovative Irish dairy farmers are more productive. Specifically, all farmers improve their production technology and efficiency through their use of innovations, but farmers at specific levels of innovativeness may experience a decrease in productivity due to the small scale at which they operate. This indicates that innovation has a non-linear effect on productivity. We discuss the policy implications for reducing the unequal gains of innovation across farmers.

创新是生产力增长的关键驱动力。本文提出了一种新方法,利用爱尔兰奶牛场的代表性数据,探讨农场层面的创新对农场生产率及其组成部分(即技术、效率和规模)的影响。我们根据采用的生产实践、持续的创新活动和专家意见加权的知识指数来衡量创新。结果表明,爱尔兰奶农的创新能力更强,生产效率更高。具体来说,所有奶农都能通过使用创新提高生产技术和效率,但处于特定创新水平的奶农可能会因为经营规模小而导致生产率下降。这表明创新对生产率具有非线性影响。我们讨论了减少农民创新收益不平等的政策影响。
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引用次数: 0
Efficiency in electricity distribution in Sweden and the effects of small-scale generation, electric vehicles and dynamic tariffs 瑞典配电效率以及小型发电、电动汽车和动态电价的影响
IF 1.6 4区 经济学 Q3 BUSINESS Pub Date : 2024-05-29 DOI: 10.1007/s11123-024-00724-4
Tommy Lundgren, Mattias Vesterberg

We measure the cost of technical inefficiency for local electricity distribution firms in Sweden using Stochastic Frontier Analysis, and explore how small-scale generation, the number of electric vehicles and the introduction of dynamic pricing schemes affects the transient inefficiency and efficiency scores. Our results show little to no effect of these environmental variables on the cost of technical inefficiency of electricity distribution grids in Sweden.

我们利用随机前沿分析法测算了瑞典地方配电公司的技术低效成本,并探讨了小规模发电、电动汽车数量和动态定价方案的引入如何影响瞬时低效和效率得分。我们的研究结果表明,这些环境变量对瑞典配电网的技术低效成本几乎没有影响。
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引用次数: 0
Efficient estimation of true fixed-effects stochastic frontier models 真实固定效应随机前沿模型的高效估算
IF 1.6 4区 经济学 Q3 BUSINESS Pub Date : 2024-05-28 DOI: 10.1007/s11123-024-00725-3
Ruggero Bellio, Luca Grassetti

Fixed-effects modeling has become the method of choice in several panel data settings, including models for stochastic frontier analysis. A notable instance of stochastic frontier panel data models is the true fixed-effects model, which allows disentangling unit heterogeneity from efficiency evaluations. While such a model is theoretically appealing, its estimation is hampered by incidental parameters. This note proposes a simple and rather general estimation approach where the unit-specific intercepts are integrated out of the likelihood function. We apply the theory of composite group families to the model of interest and demonstrate that the resulting integrated likelihood is a marginal likelihood with desirable inferential properties. The derivation of the result is provided in full, along with some connections with the existing literature and computational details. The method is illustrated for three notable models, given by the normal-half normal model, the heteroscedastic exponential model, and the normal-gamma model. The results of simulation experiments highlight the properties of the methodology.

固定效应模型已成为多种面板数据环境下的首选方法,包括随机前沿分析模型。随机前沿面板数据模型的一个显著实例是真实固定效应模型,该模型可以将单位异质性与效率评估区分开来。虽然这种模型在理论上很有吸引力,但其估算却受到附带参数的影响。本说明提出了一种简单而通用的估算方法,即将特定单位的截距从似然函数中整合出来。我们将复合群族理论应用于所关注的模型,并证明所得到的综合似然是一种边际似然,具有理想的推理特性。我们提供了这一结果的全部推导过程,以及与现有文献的一些联系和计算细节。该方法针对正态-半正态模型、异方差指数模型和正态-伽马模型等三个著名模型进行了说明。模拟实验的结果突出了该方法的特性。
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引用次数: 0
“Wrong” skewness and endogenous regressors in stochastic frontier models: an instrument-free copula approach with an application to estimate firm efficiency in Vietnam 随机前沿模型中的 "错误 "偏度和内生回归因子:一种无工具共轭方法在越南企业效率估算中的应用
IF 1.6 4区 经济学 Q3 BUSINESS Pub Date : 2024-04-03 DOI: 10.1007/s11123-024-00722-6
Rouven E. Haschka

Stochastic frontier models commonly assume positively skewed inefficiency. However, if the data speak against this assumption, sample-failure problems are often cited, but less attention is paid to economic reasons. We consider this phenomenon as a signal of distinctive population characteristics stemming from the inefficiency component, emphasizing its potential impact on evaluating market conditions. Specifically, we argue more generally that “wrong” skewness could indicate a lack of competition in the market. Moreover, endogeneity of model regressors presents another challenge, hindering the identification of causal relationships. To tackle these issues, this paper proposes an instrument-free estimation method based on Gaussian copulas to model the dependence between endogenous regressors and composite errors, while accommodating positively or negatively skewed inefficiency through simultaneous identification. Monte Carlo simulation experiments demonstrate the suitability of our estimator, comparing it with alternative methods. The contributions of this study are twofold. On the one hand, we contribute to the literature on stochastic frontier models by providing a comprehensive method for dealing with “wrong” skewness and endogenous regressors simultaneously. On the other hand, our contribution to an economic understanding of “wrong” skewness expands the comprehension of market behaviors and competition levels. Empirical findings on Vietnamese firm efficiency indicate that endogeneity hinders the detection of “wrong” skewness and suggests a lack of competitive market conditions. The latter underscores the importance of policy interventions to incentivize firms in non-competitive markets.

随机前沿模型通常假设无效率为正偏斜。然而,如果数据与这一假设相悖,人们往往会提到样本失效问题,但较少关注经济原因。我们认为这一现象是源于无效率成分的独特人口特征的信号,强调其对评估市场条件的潜在影响。具体而言,我们更普遍地认为,"错误的 "偏度可能表明市场缺乏竞争。此外,模型回归因子的内生性也是另一个挑战,阻碍了因果关系的识别。为解决这些问题,本文提出了一种基于高斯协方差的无工具估计方法,以模拟内生回归因子与复合误差之间的依赖关系,同时通过同步识别来适应正或负偏斜的无效率。蒙特卡罗模拟实验证明了我们的估计方法的适用性,并将其与其他方法进行了比较。本研究有两方面的贡献。一方面,我们提供了一种同时处理 "错误 "偏度和内生回归因子的综合方法,为随机前沿模型的文献做出了贡献。另一方面,我们对 "错误 "偏度的经济学理解的贡献拓展了对市场行为和竞争水平的理解。对越南企业效率的实证研究结果表明,内生性阻碍了对 "错误 "偏度的检测,并表明缺乏竞争性市场条件。后者强调了政策干预对激励非竞争性市场中企业的重要性。
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引用次数: 0
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Journal of Productivity Analysis
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