Semiparametric Smooth Coefficient Models
提出半参数光滑系数模型，用局部最小二乘法估计系数函数，并证明估计量的一致性和渐近正态性。通过中国非金属矿物行业生产函数应用，发现中间生产和管理费用对劳动和资本产出弹性有重要影响。
In this article, we propose a semiparametric smooth coefficient model as a useful yet flexible specification for studying a general regression relationship with varying coefficients. The article proposes a local least squares method with a kernel weight function to estimate the smooth coefficient function. The consistency of the estimator and its asymptotic normality are established. A simple statistic for testing a parametric model versus the semiparametric smooth coefficient model is proposed. An empirical application of the proposed method is presented with an estimation of the production function of the nonmetal mineral industry in China. The empirical findings show that the intermediate production and management expense has played a vital role and is an unbalanced determinant of the labor and capital elasticities of output in production.