Bootstrap Statistical Inference about the Regression Coefficients Based on Fuzzy Data

Theory of regression methods is based on the crispness of the observations and the parameters of interest. But there can be many different situations in which the above mentioned concepts are imprecise. On the other hand, the theory of fuzzy sets is a well established tool for formulation and analysis of imprecise and subjective concepts. In these times we must use the fuzzy regression. In this paper, at first we use a well-known signed distance, then with using this signed distance we estimate the crisp regression coefficients based on fuzzy data using least square method. Finally, we exhibit confidence interval and hypothesis testing for these coefficients based on bootstrap theory and numerical examples are also provided to illustrate the approach. In case of the confidence interval and hypothesis testing problem, bootstrap techniques (Efron and Tibshirani, [10]) have empirically been shown to be efficient and powerful.

並列關鍵字

Canonical fuzzy number ； Yao-Wu signed distance ； Bootstrap theory ； Linear regression ； Confidence interval ； Hypothesis testing

被引用紀錄

Shen, C. W. (2015). 磨課師(巨型開放式線上課程)數位混合式教學對台灣高等教育外語學習之研究 [doctoral dissertation, Tamkang University]. Airiti Library. https://doi.org/10.6846/TKU.2015.00636

黃詩惠（2011）。教學平台使用效能對於大學生網路學習成效之影響研究〔碩士論文，淡江大學〕。華藝線上圖書館。https://doi.org/10.6846/TKU.2011.00063

陳昭宏（2010）。大陸配偶網路課程之設計與發展－以生活實用台語為例〔碩士論文，淡江大學〕。華藝線上圖書館。https://doi.org/10.6846/TKU.2010.00502

Chang, Y. Y. (2008). 文本式同步電腦媒介溝通與語言學習成效之研究 [doctoral dissertation, Tamkang University]. Airiti Library. https://doi.org/10.6846/TKU.2008.00003

王大維（2006）。網路課程設計與發展—以「教學媒體與科技」課程為例〔碩士論文，淡江大學〕。華藝線上圖書館。https://doi.org/10.6846/TKU.2006.00723

國際替代計量

Bootstrap Statistical Inference about the Regression Coefficients Based on Fuzzy Data

全文下載

主題瀏覽