Improvement on additive outlier detection procedure in bilinear model
Document Type
Article
Publication Date
1-1-2008
Abstract
This paper considers the problem of outlier detection in bilinear time series data; with special focus on two most basic models BL(1,0,1,1) and BL(1,1,1,1). The formulation of effect of additive outlier on the observations and residuals has been developed and the least squares estimator of the outlier effect has been derived. Consequently, an outlier detection procedure employing bootstrapping method to estimate the variance of the estimator has been proposed. In this paper, we propose to use the mean absolute deviance and trimmed mean methods to improve the performances of the procedure. Using simulation works, we show that trimmed method has successfully improved the performance. Subsequently the procedure is applied to a real data set.
Keywords
Additive outlier, Bilinear, Bootstrapping, Least squares method, Rainfall data
Divisions
foundation,MathematicalSciences
Publication Title
Malaysian Journal of Science
Volume
27
Issue
2
Publisher
Faculty of Science, University of Malaya