We develop a new approach to estimate a production function based on the economic axioms of the Regular Ultra Passum law and convex non-homothetic input isoquants. Central to the development of our estimator is stating the axioms as shape constraints and using shape constrained nonparametric regression methods. We implement this approach using data from the Japanese corrugated cardboard industry from 1997-2007. Using this new approach, we find most productive scale size is a function of the capital-to-labor ratio and the largest firms operate close to the largest most productive scale size associated with a high capital-to-labor ratio. We measure the productivity growth across the panel periods based on the residuals from our axiomatic model. We also decompose productivity into scale, input mix, and unexplained effects to clarify the sources the productivity differences and provide managers guidance to make firms more productive.
翻译:我们开发了一种新的方法,根据常规超光谱法的经济轴体和无动静输入的螺旋体等同体的经济轴体来估计生产功能。我们估算器的发展中心是将轴体描述为形状限制,并使用形状限制的非参数回归方法。我们使用日本自1997-2007年浮化的纸板工业的数据来实施这种方法。我们采用这一新的方法发现,最有生产力的规模是资本对实验室比率的函数,而最大的公司在资本对实验室比率较高的最大生产规模上运行。我们根据我们轴体模型的剩余值衡量各小组时期的生产力增长。我们还将生产力转化为规模、投入组合和解释效应,以澄清生产率差异的来源,并提供管理人员指导,使企业更具生产力。