✦ LIBER ✦
Limit theory for random coefficient first-order autoregressive process under martingale difference error sequence
✍ Scribed by Zhi-Wen Zhao; De-Hui Wang; Yong Zhang
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 229 KB
- Volume
- 235
- Category
- Article
- ISSN
- 0377-0427
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✦ Synopsis
Phillips and Magdalinos (2007)
[1] gave the asymptotic theory for autoregressive time series with a root of the form ρ n = 1 + c/k n , where k n is a deterministic sequence. In this paper, an extension to the more general case where the coefficients of an AR(1) model is a random variable and the error sequence is a sequence of martingale differences is discussed. A conditional least squares estimator of the autoregressive coefficient is derived and shown to be asymptotically normal. This extends the result of Phillips and Magdalinos (2007) [1] for stationary and near-stationary cases.