Testing coefficients of AR and bilinear time series models by a graphical approach |
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Authors: | WaiCheung Ip Heung Wong Yuan Li XianHua Luo |
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Institution: | (1) Department of Mathematics, The Hong Kong Polytechnic University, Hong Kong, China;(2) School of Mathematics and Information Science, Guangzhou University, Guangzhou, 510006, China |
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Abstract: | AR and bilinear time series models are expressed as time series chain graphical models, based on which, it is shown that the
coefficients of AR and bilinear models are the conditional correlation coefficients conditioned on the other components of
the time series. Then a graphically based procedure is proposed to test the significance of the coefficients of AR and bilinear
time series. Simulations show that our procedure performs well both in sizes and powers.
This work was supported by the Hong Kong Polytechnic University Research Council, the National Natural Science Foundation
of China (Grant No. 10671044) and the Science and Technology Bureau of Guangzhou Municipal Government of China (Grant No.
LSBH-017) |
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Keywords: | AR model bilinear model graphical model |
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