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Asymptotic behavior of the variance of the EWMA statistic for autoregressive processes

✍ Scribed by M.B. Vermaat; F.H. van der Meulen; R.J.M.M. Does


Book ID
108267507
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
781 KB
Volume
78
Category
Article
ISSN
0167-7152

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This work investigates the behavior of the sample variance of an explosive random coefficient autoregressive process y t = (a + u t )y t-1 + Ξ΅ t . It is shown that the simulated sample variance has a distribution when a 2 < 1 and a 2 +Οƒ 2 u = 1. Moreover, the variance of y t when a = -1 is found to