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題名:糢糊迴歸參數估計及在景氣對策信號之分析應用
書刊名:中國統計學報
作者:吳柏林曾能芳
作者(外文):Wu, BerlinCheng, Nen-fon
出版日期:1998
卷期:36:4
頁次:頁399-420
主題關鍵詞:糢糊迴歸參數估計三角洲隸屬度函數h截集最小平方法Fuzzy regressionFuzzy parameterTriangular membership functionH-cutMethods of least squares
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(20) 博士論文(0) 專書(0) 專書論文(0)
  • 排除自我引用排除自我引用:20
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  • 點閱點閱:27
     傳統的迴歸是假設觀測值的不確定性來自於隨機,模糊迴歸(fuzzy regression) 則是假設不確定性來自多重隸屬現象。模糊迴歸採用樣本模糊數(x , Y )來對模糊迴歸參 數進行估計,其中Y 為觀測模糊數。一般模糊參數A的估計方式是採用線性規劃,求出適當 的區間,來將觀測模糊數Y 的分佈範圍全部覆蓋住。我們認為此法不能真實地表達出樣本 所蘊含的資訊,本研究將另行設立一套模糊參數估計方法,此法對樣本的解釋方式將更為 合理,且估計的過程也比線性規劃簡便。迴歸常用來建構經濟和財務的模型,而此種模型 經常帶有模糊的特質,例如景氣循環、不規則趨勢等,本文將針對台灣景氣指標進行實務 分析,以此說明模糊迴歸模式的實用性。
     In this paper, we propose a parameter estimation method for fuzzy regression models by using the fuzzy number and the method of least squares. Fuzzy regression models are frequently applied in economic or financial modeling. These models exhibit certain kind of linguistic requirements, such as the business cycle and the diversity trend. We take the linguistic prediction as our illustration example for demonstration. Empirical results demonstrate that our estimation procedure can determine fuzzy regression models effectively.
期刊論文
1.SAVIC, D. A.、PEDRYCZ, W.(1991)。Evaluation of fuzzy linear regression models。Fuzzy Sets and Systems,23,51-63。  new window
2.Werners, B.(1987)。An Interactive Fuzzy Programming System。Fuzzy Sets and Systems,23,131-147。  new window
3.Tanaka, H.、Uejima, S.、Asai, K.(1982)。Linear regression analysis with fuzzy models。IEEE Trans. Systems Man Cybernet,12,903-907。  new window
4.Gath, I.、Geva, A.(1989)。Fuzzy clustering for the estimation of the parameters of the components of mixtures of normal distributions。Patt. Recog. Lett.,9,77-86。  new window
5.吳柏林、張鈿富、廖敏治(19961000)。模糊時間數列與臺灣地區中學教師人數需求之預測。國立政治大學學報,73(下),287-312。  延伸查詢new window
6.Tanaka, H.、Uejima, S.、Asai, K.(1980)。Fuzzy linear regression models。International Congress on Applied Systems Research and Cybernetics。  new window
7.Yang, M.、Ko, C.(1997)。On cluster-wise fuzzy regression analysis。IEEE Trans. Systems Man Cybernet,27,1-13。  new window
8.Wierzchon, S. T.(1982)。Appliaction of fuzzy decision-making theory to coping with ill-defined problems。Fuzzy Sets and Systems,7,1-18。  new window
9.Von Cutsem, B.、Gath, I.(1993)。Detection of outilers and robust estimation using fuzzy clustering。Computational Statistics and Data Analysis,15,47-61。  new window
10.Tanaka, H.、Ishibuchi, H.(1993)。An architecture of neural networks with interval weights and its application to fuzzy regression analysis。Fuzzy Sets and Systems,57(1),27-39。  new window
11.Song, Q.、Chisson, B. S.(1993)。Fuzzy time series and its models。Fuzzy Sets and Systems,54(3),269-277。  new window
12.Wu, B.、Hung, S.(1998)。A fuzzy identification procedure for nonlinear time series: With example on ARCH and bilinear models。Fuzzy Sets and Systems,108(3),275-287。  new window
13.Dubois, D.、Prade, H.(1992)。Evidence, Knowledge, and belief functions。International Journal of Approximate Reasoning,6,295-319。  new window
圖書論文
1.Agee, W. S.、Turner, R. H.(1979)。Application of Robust Regression to Trajectory data reduction。Robustness in Statistics。London:Academic Press。  new window
2.吳柏林、楊文山(1997)。模糊統計在社會調查分析的應用。社會科學計量方法發展與應用。中央研究院中山人文社會科學研究所。  延伸查詢new window
 
 
 
 
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