CHINESE JOURNAL OF APPLIED PROBABILITY AND STATIST 2012, 28(6) 625-636 DOI:      ISSN: 1001-4268 CN: 31-1256

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Impact Assessment for Fuzzy Linear Regression Model Based on Case Deletion

Zhang Aiwu

School of Mathematical Sciences, Yancheng Teachers University

Abstract��

Least squares method based on Euclidean
distance and Lebesgue distance between fuzzy data is used to study
parameter estimation of fuzzy linear regression model based on case
deletion respectively. And the parameter estimations on two kinds of
distance are compared. The input of the above model is real data and
output is fuzzy data. The statistical diagnosis --- estimation
standard error of regression equations is constructed to test highly
influential point or outlier in observation data. At last through
identifying highly influential point or outlier in actual data, it
shows that the statistic constructed in this paper is effective.

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