Effective global regularity and empirical modelling of direct, inverse, and mixed demand systems
利用有效全局正则性和Cooper-McLaren一般指数形式，构建了直接、逆和混合需求系统族，具有更大正则区域和任意秩，能更好拟合非线性恩格尔曲线，并用数值反演法解决混合需求系统的内生性问题，以日本季度肉类和鱼类消费数据为例进行估计。
Abstract This paper utilizes the notion of ‘effective global regularity’ and the intuition stemming from Cooper and McLaren (1996)'s General Exponential Form to develop a family of ‘composite’ (product and ratio) direct, inverse and mixed demand systems. Apart from having larger regularity regions, the resulting specifications are also of potentially arbitrary rank, which can better approximate non‐linear Engel curves. We also make extensive use of duality theory and a numerical inversion estimation method to rectify the endogeneity problem encountered in the estimation of the mixed demand systems. We illustrate the techniques by estimating different types of demand systems for Japanese quarterly meat and fish consumption.