最小交互熵在投入─产出表理论预测的应用

本文利用最小交互熵的概念和有关结论，直接地给出具有固定边际的投入─产出表预测模型的ＲＡＳ方法的结构形式；同时利用信息论中的不等式，直接地证明最小交互熵解就是对偶几何规划解；从而简单、明了地赋于投入─产出表ＲＡＳ方法的信息意义．我们还给出一种迭代计算方案．最后指出，该方法可以用统计方法检验新的理论预测与原投入─产出表的差异性．

An Application of Minimum Cross-Entropy to the Theoretical Prediction of Input-Output Table

Using the concepts of minimum cross-entropy and related results,this paper gave a direct structural form of RAS method for the input-output prediction model with fixed marginals. Then, using the inequality of information theory,the paper directly proved that the minimum cross-entropy solution is exactly the dual geometric programming solution. Therefore the information meaning of RAS method of input-output table was given. Also, an iterative computation scheme was given. Finally, it is pointed out that this method can be used to test the difference between new theoretical prediction scheme and the original input-output table.