# [1]陈华友.基于L1范数的加权几何平均组合预测模型的性质[J].东南大学学报(自然科学版),2004,34(4):535-540.[doi:10.3969/j.issn.1001-0505.2004.04.025] 　Chen Huayou,Liu Chunlin.Properties of weighted geometric means combination forecasting model based on L1 norm[J].Journal of Southeast University (Natural Science Edition),2004,34(4):535-540.[doi:10.3969/j.issn.1001-0505.2004.04.025] 点击复制 基于L1范数的加权几何平均组合预测模型的性质() 分享到： var jiathis_config = { data_track_clickback: true };

34

2004年第4期

535-540

2004-07-20

## 文章信息/Info

Title:
Properties of weighted geometric means combination forecasting model based on L1 norm

1 南京大学工程管理学院, 南京 210093; 2 安徽大学数学系, 合肥 230039; 3 南京大学商学院, 南京 210093
Author(s):
1 School of Management Science and Engineering, Nanjing University, Nanjing 210093, China
2 Department of Mathematics, Anhui University, Hefei 230039, China
3 Business School, Nanjing University, Nanjing 210093, Ch

Keywords:

O221.1
DOI:
10.3969/j.issn.1001-0505.2004.04.025

Abstract:
Based on L 1 norm, a weighted geometric means combination forecasting model is proposed. Some new concepts such as superior combination forecasting, dominant forecasting method, combination forecasting redundant degree are defined for the model. It is pointed out that combination forecasting corresponding to the arbitrary feasible solution of this model is at least non-inferior. The sufficient condition that equally weighted geometric means combining forecasting is optimal and existence condition of superior combination forecasting are discussed. Redundant forecasting information is probably existent in this model and its determining theorem is proved. Finally a numerical example is illustrated to show that this model is an effective combination forecasting method.

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