Threshold variable selection by wavelets in open-loop threshold autoregressive models
Wavelets are applied to identify the time delay and thresholds in open-loop threshold autoregressive models. Based on Truong and Stone's lemma, the empirical wavelet coefficients of the data are defined. The time delay and thresholds are detected and then estimated by checking the variation of the empirical wavelet coefficients. All the estimators are shown to be consistent.
Year of publication: |
1999
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Authors: | Ip, Wai-Cheung ; Wong, Heung ; Li, Yuan ; Xie, Zhongjie |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 42.1999, 4, p. 375-392
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Publisher: |
Elsevier |
Subject: | Time delay Thresholds Wavelets |
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