中文摘要：

引入和讨论了基于算术平均贴近度的加权几何平均组合预测模型及其性质.针对该模型定义了非劣性组合预测模型、优性组合预测模型以及组合预测冗余度的概念,讨论了在一定条件下,该组合预测模型存在非劣性及优性组合预测的条件,给出了判定冗余组合预测方法的判定定理.通过实例分析说明了基于算术平均贴近度的非线性组合预测模型的有效性.

英文摘要：

Combination forecast of weighted geometric means is a model of nonlinear combination forecast.Based on arithmetic average minimum approach,the combination forecasting model of weighted geometric means is proposed and discussed.The concepts such as non-inferior combination forecast,superior combination forecasting and redundant degree have been put forward.Under certain conditions,the existent conditions of non-inferior combination and superior combination forecast have been discussed.Some theorems which determine whether a method is a redundant forecasting method have been given.Application example shows that this nonlinear model is effective.