Title :
Hypothesis testing in fuzzy regression analysis
Author :
Grigoriev, A.A. ; Popov, A.A.
Author_Institution :
Novosibirsk State Tech. Univ., Russia
Abstract :
When input data in regression analysis are fuzzy numbers for estimating parameters fuzzy least squares method is used. For linear hypothesis testing a statistics based on ratio of residual sums of squares is proposed and its distribution is derived.
Keywords :
fuzzy systems; least squares approximations; parameter estimation; statistical analysis; fuzzy regression analysis; least squares method; linear hypothesis testing; parameter estimation; statistical distribution; Interpolation; Least squares approximation; Parameter estimation; Quadratic programming; Regression analysis; Testing;
Conference_Titel :
Electronic Instrument Engineering Proceedings, 2002. APEIE 2002. 2002 6th International Conference on Actual Problems of
Print_ISBN :
0-7803-7361-8
DOI :
10.1109/APEIE.2002.1075830
