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Identification of non-linear additive autoregressive models

✍ Scribed by Jianhua Z. Huang; Lijian Yang


Book ID
110882218
Publisher
Blackwell Publishing
Year
2004
Tongue
English
Weight
156 KB
Volume
66
Category
Article
ISSN
0952-8385

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We examine the Markov chain Xt = q~(Xt-i )+etb, where Xt = (x,, ..., x,\_p+~ )~, b = ( 1,0 ..... 0)L Under some appropriate conditions on q~, we show the ergodicity for {X,} when Eet 2 is suitable small, and the geometric ergodicity when Ee I~' 1 is suitably small.