CELL‐CORRECTED RAS METHOD (CRAS) FOR UPDATING OR REGIONALIZING AN INPUT–OUTPUT MATRIX
提出一种改进的RAS方法（CRAS），利用多期或多区域矩阵的单元格变化分布，在常规RAS解后优化校正，提高结构变化下的估计精度，适用于投入产出、交通、贸易和迁移矩阵。
ABSTRACT The RAS method is used to update or regionalize a single matrix such that it conforms to new row and column totals. This paper presents a correction of the RAS method (CRAS) that uses cell variation distributions calculated from multiple matrices of different periods or different regions. After the solution of the regular RAS, an additional optimization problem is solved that produces the most likely cell‐corrections to the regular RAS solution. To test the behavior of CRAS, several simulations with a time series of input–output tables for The Netherlands for 1968–1986 are made. They show that—in situations of structural change—applying CRAS improves the regular RAS estimate. The method will also be applicable to traffic, trade, and migration matrices.