文章摘要
He Zhiqiang,Liu Lanjuan.A Comparative Study on the Improvement of the GRAS Method for Updating the Social Accounting Matrix and Input-Output Table[J].The Journal of quantitative and technical economics,2018,(11):142-160
GRAS方法的改进及对比研究
A Comparative Study on the Improvement of the GRAS Method for Updating the Social Accounting Matrix and Input-Output Table
  
DOI：
中文关键词: GRAS  超越方程  保号  保零  社会核算矩阵  投入产出表
英文关键词: GRAS  Transcendental Equation  Sign-preserving  Zero-preserving  Social Accounting Matrix  Input-Output Table
基金项目:本文获得教育部人文社会科学研究项目“提高劳动报酬占比的理论、实证与政策：基于CGE模型的研究”（12YJA790086）的资助。
Author NameAffiliation
He Zhiqiang School of Information Management & Engineering, Shanghai University of Finance and Economics 
Liu Lanjuan School of Information Management & Engineering, Shanghai University of Finance and Economics 
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中文摘要:
      研究目标：改进GRAS方法，减少社会核算矩阵（SAM表）调平和投入产出表（IO表）更新的先验信息丢失。研究方法：对比GRAS及其改进的AGRAS、UGRAS、SGRAS、IGRAS等方法，针对保零、保凸、保号、无偏等特点，构建EGRAS方法，并进行了数值模拟。研究发现：综合AIL、Theil‘s U、GDM等误差指数，EGRAS方法具有保号、保凸、保零、无偏、避免正负项抵消等优点，并能有效保留先验信息，有推广价值。研究创新：构建保号、保凸、保零、无偏、避免正负项抵消的EGRAS方法进行SAM表调平和IO表更新，并无须定义0/0和0ln0值，而且可求全局最优解。研究价值：在SAM表调平和IO表更新时，减少先验信息丢失，提高调平的经济学含义。
英文摘要:
      Research Objectives: This paper effectively develops the methods of updating social accounting matrix and input-output table and minimizes information loss. Research Methods： The EGRAS method is constructed to compare with the GRAS method including the AGRAS、UGRAS、SGRAS and IGRAS. Then the method is applied to numerical simulation. Research Findings：Either calculation errors are made or different information gain measures are compared. The numerical results show that EGRAS which is unbiased and convex consistently outperforms both sign-preserving and strictly zero-preserving when increasing and decreasing cell values occur together. Moreover, EGRAS can overweigh large errors in small coefficients. Research Innovations：The research improves GRAS and forms the optimal model-EGRAS which unnecessarily defines 0/0 and 0ln0. Moreover, the global optimal solution can be found. Research Value：It‘s a core objective to decrease information loss and increase economic importance through EGRAS when updating the Social Accounting Matrix and Input-Output Table.
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