统计研究 ›› 2017, Vol. 34 ›› Issue (10): 98-109.doi: 10.19343/j.cnki.11-1302/c.2017.10.009

• 论文 • 上一篇    下一篇

半参数空间ZISF的估计及反馈分类

蒋青嬗 韩兆洲   

  • 出版日期:2017-10-15 发布日期:2017-10-25

The Estimation of Semi-parametric Spatial ZISF and Classification with Feedback

Jiang Qingshan & Han Zhaozhou   

  • Online:2017-10-15 Published:2017-10-25

摘要: 引入空间效应、非参函数和非连续分布技术无效率项,构建半参数空间零无效率随机前沿模型(简称为半参数空间ZISF),模型适用性更广且可有效避免函数形式误设和忽略内生性问题导致的有偏和不一致估计量。对非参函数采用B样条逼近,使用极大似然方法和JLMS法可得到参数(含非参函数)和技术效率的估计。基于伯努利大数定律提出反馈分类,有效地将技术无效率项分类。蒙特卡罗模拟表明:①本文方法的估计精度较高。增加样本容量,估计精度更优。忽略任意一种效应将导致估计精度降低。本文模型和估计方法有存在必要性。②分类阈值跨度较大,主观判断贝叶斯后验概率的大小进而将技术无效率项分类可靠性较低。反馈分类准确率较高且有存在必要性。

关键词: 半参数空间ZISF, 零技术无效率项, 极大似然估计, 反馈分类, 蒙特卡罗模拟

Abstract: Incorporate spatial effects, nonparametric function and technical inefficiencies with non-continuous distribution, and get semi-parametric spatial zero inefficiency stochastic frontier models (short for semi-parametric spatial ZISF). These models are more applicable and can effectively avoid specification error and biased and inconsistent estimators. Use B-splines to approximate nonparametric function, then use maximum likelihood method and JLMS method to estimate parameters, nonparametric function and technical efficiencies. Propose a classification method with feedback to judge the categories of technical inefficiencies based on Bernoulli's law of large numbers. Monte Carlo simulations show that: (i) the estimation accuracies of objective method is high. With sample size increasing, the accuracies become higher. Neglecting any effect will get low accuracies. The objective models and estimation method are necessary. (ii) The classification thresholds are with large span. Judging the classification by Bayesian posterior probabilities is subjective and unreliable. The classification with feedback is with high accuracies.

Key words: Semi-parametric Spatial ZISF, Zero Technical Inefficiencies, Maximum Likelihood Estimation, Classification with Feedback, Monte Carlo Simulations