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題名:傳統計量迴歸、模糊迴歸、GMDH、類神經網路四種方法在預測應用之比較--以國人赴港旅客需求之預測為例
書刊名:中國統計學報
作者:曹勝雄 引用關係曾國雄江勁毅
作者(外文):Tsaur, Sheng-hshiungTzeng, Gwo-hshiungChiang, Chin-i
出版日期:1996
卷期:34:2
頁次:頁132-161
主題關鍵詞:傳統計量迴歸模糊迴歸類神經網路Traditional statistical regressionFuzzy regressionGMDHArtificial neural network
原始連結:連回原系統網址new window
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  • 被引用次數被引用次數:期刊(11) 博士論文(4) 專書(0) 專書論文(0)
  • 排除自我引用排除自我引用:11
  • 共同引用共同引用:5
  • 點閱點閱:149
本文目的在比較傳統計量迴歸、模糊線性迴歸、GMDH及類神經網路四種不同的預測方法,並以國人赴港旅客需求人數之預測為例,進行四種預測方法在應用上之比較。模糊線性迴歸模式基本上是一種區間預測模式,而此模式極易受到極端值的影響而使得預測區間變大;GMDH方法則假設自變數與應變數之間成高階多項式關係;類神經網路則是經由梯度下降法修正網路層間的權數值,使得網路計算輸出值與期望輸出值間的誤差逐漸降低。由本例的實證結果發現,傳統計量迴歸、GMDH、類神經網路之預測能力均極佳。若以誤差百分比而言,GMDH在前幾期之變化起伏較大,明顯地較傳統計量迴歸與類神經網路模式為差,但在第六期之後則較其他兩種模式為佳;而傳統計量迴歸與類神經網路模式兩者在整體上差距不大。至於模糊迴歸則因模式輸出為一區間,因此無法與其他三種模式同時比較。
The purpose of this paper is to compare four kinds of prediction methods, including tranditional econometric regression, fuzzy linear regression, GMDH, and artificial neural network. The comparison will be based on the performance of these methods applied to the demand for travelers from Taiwan to Hong Kong. The fuzzy linear regression model is basically an interval prediction model. This method has a disadvantage that the prediction interval can be very wide if some extreme values are present. GMDH presumes that the dependent variable and the independent variables have a high-order relationship. The artificial neural network employs the gradient-descent method to revise the weight values among the network hierarchy. As a result, the error between the output value and the target value will be lowered gradually. It is found from the empirical results of this example that the prediction capability of the traditional statistical regression, GMDH, and the artificial neural network are rather encouraging. For the error expressed in terms of percentage, the upheaval of GMDH in the first few periods is quite prominent, and it is obviously inferior to the traditional statistical regression and the artificial neural network. However, after the sixth period, GMDH performs better than the other two methods. As for the traditional statistical regression and the artificial neural network, they performs about the same as a whole. The fuzzy regression cannot be compared with the other three methods because the output of this methods is an interval.
期刊論文
1.Ivakhnenko, A. G.(1970)。Heuristic self-organization in problems of engineering cybernetics。Automatica,6(2),207-219。  new window
2.Rumelhart, D. E.、Hinton, D. E.、Williams, R. J.(1986)。Learning internal representations by error propagation。Parallel Distributed Processing: Exploration in the Microstructures of Congnition,1,318-362。  new window
3.TANAKA, H.、ISHIBUCHI, H.(1991)。Identification of possibilistic linear systems by quadratic membership functions of fuzzy parameters。Fuzzy Sets and Systems,41(2),145-160。  new window
4.Tanaka, H.(1987)。Fuzzy data analysis by possibilistic linear models。Fuzzy Sets and Systems,24,363-375。  new window
5.Tanaka, H.、Hayashi, I.(1989)。Possibilistic linear regression analysis for fuzzy data。European Journal of Operational Research,40,389-396。  new window
6.Ishibuchi, H.、Tanaka, H.(1992)。Fuzzy regression analysis using neural networks。Fuzzy Sets and Systems,50,257-265。  new window
7.Tanaka, H.、Uejima, S.、Asai, K.(1982)。Linear regression analysis with fuzzy model。IEEE Transaction on Systems, Man and Cybernetics,12(6),903-907。  new window
8.Ivakhnenko, A. G.(1968)。The group method of data tanaling: a rival of the method of stochastic approximation。Soviet Automatic Control,13,43-45。  new window
9.Ivakhnenko, A. G.(1971)。Polynomial theory of complex systems。IEEE Transactions on Systems, Man and Cybernetics,1(4),364-378。  new window
10.Ivakhnenko, A. G.、Ivakhnenko, N. A.(1973)。Unique contruction of regression curve using a small number of points。Soviet Automatic Control,6,29-41。  new window
11.Ivakhnenko, A. G.、Ivakhnenko, N. A.(1974)。Long-term prediction by GMDH algorithem using the unbiased criterion and the balance-ofvariables criterion。Sovient Automatic Control,7,40-45。  new window
12.Ivakhnenko, A. G.、Ivakhnenko, N. A.(1975)。Long-term prediction by GMDH algorithem using the unbiased criterion and the balance-pfvariables criterion。Sovient Automatic Control,8,24-38。  new window
13.Ivakhnenko, A. G.、Ivakhnenko, N. A.(1976)。Long-term prediction by GMDH algorithem using the unbiased criterion and the balance-ofvariables criterion。Sovient Automatic Control,9,28-42。  new window
14.Dubois, Didier、Prade, Henri(1978)。Operations on fuzzy numbers。International Journal of Systems Science,9(6),613-626。  new window
15.藍武王、林麗玉(19910300)。臺灣地區小汽車成長預測模式之建立。中國統計學報,29(1),49-75。new window  延伸查詢new window
會議論文
1.Tanaka, H.、Uejima, S.、Asai, K.(1980)。Fuzzy linear regression model。Int. Congr. on Applied System Research and Cybernetics,(會議日期: November 12-15)。Acapulco。12-15。  new window
學位論文
1.邵順利(1994)。模糊迴歸模型之探討及其在風險係數β之研究(碩士論文)。國立中央大學。  延伸查詢new window
圖書
1.葉怡成(1993)。類神經網路模式應用與實作。臺北:儒林圖書有限公司。  延伸查詢new window
2.靳蕃、範俊波、譚永東(1992)。神經網路與神經計算機原理、應用。台北:儒林圖書公司。  延伸查詢new window
3.傅心家(1991)。神經網路導論。台北:第三波文化事業公司。  延伸查詢new window
4.Pindyck, Robert S.、Rubinfeld, Daniel L.(1981)。Econometric Models and Economic Forecasts。New York, NY:McGraw-Hill Book Company。  new window
圖書論文
1.Tanaka, H.、Ishibuchi, H.(1992)。Possibilistic regression analysis based on linear programming。Fuzzy Regression Analysis。  new window
 
 
 
 
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