For a stationary ergodic self-exciting threshold autoregressive model with single threshold parameter, Chan (1993) obtained the consistency and limiting distribution of the least-squares estimator for the underlying true parameters. In this paper, we derive the similar results for the maximum likeli
On robust estimation of threshold autoregressions
β Scribed by Wai-Sum Chan; Siu-Hung Cheung
- Publisher
- John Wiley and Sons
- Year
- 1994
- Tongue
- English
- Weight
- 690 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0277-6693
No coin nor oath required. For personal study only.
β¦ Synopsis
We investigate the effects of additive outliers on the least squares (LS) estimation of threshold autoregressive models. The class of generalized-M (GM) estimates for linear time series is modified and applied to non-linear threshold processes. A Monte Car10 experiment is carried out to study the robust properties of these estimates. Their relative forecasting performances are also examined. The results indicate that the GM method is preferable to the LS estimation when the observations are contaminated by additive outliers. A real example is also given to illustrate the proposed method.
π SIMILAR VOLUMES
Chan and Cheung (1994) propose a GM approach to outlier robust estimation of threshold models. We show that their estimator can be inconsistent and extremely inefficient even when the model is correctly specified and the disturbances are normally distributed, and outline situations in which the pro
This paper considers a time series model with a piecewise linear conditional mean and a piece-wise linear conditional variance which is a natural extension of Tong's threshold autoregressiw~ model. The model has potential applications in modelling asymmetric behaviour in volatility ia the financial