关键词: 交叉熵, RAS, 社会核算矩阵, 矩阵平衡

Abstract: Cross entropy (CE) method is the most popular technique for balancing SAMs in recent years. This paper develops the stochastic generalized CE/RAS (SG-CE/SG-RAS) method by extending present stochastic CE (Robinson et al., 2001) and GRAS (Lenzen et al., 2007), to directly deal with the initial unbalanced matrix including negative elements. Noted that the CE method need to detect any negative flows first and then net them out of their respective symmetric cells, which would change the structure of matrix and the sigh of some elements in the balancing procedure, but neither SG-CE nor SG-RAS wouldn’t. The empirical analysis by utilizing four techniques (SG-RAS, SG-CE, CE, termwise) to balance 2007’s macro and micro SAMs of China shows that: SG-RAS perform best for estimating coefficient SAM; SG-RAS and termwise methods are both good enough in transaction SAM estimating; however, SG-CE doesn’t performs as good as expected when estimating coefficient SAM and transaction SAM.The Cross entropy method performs poorer .

Key words: cross entropy (CE), RAS, Social Accounting Matrix (SAM), Matrix balancing