Abstract
In this paper, autocovariance nonstationary time series is clearly defined on a family of time series. We propose three types of TVPAR (time-varying parameter auto-regressive) models: the full order TVPAR model, the time-unvarying order TVPAR model and the time-varying order TVPAR model for autocovariance nonstationary time series. Related minimum AIC (Akaike information criterion) estimations are carried out.
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This work was supported by the Doctoral Research Fund of the Ministry of Education, China (Grant No. 20040285008), and Grant-in-Aid for Scientific Research (B), the Ministry of Education, Science, Sports and Culture, Japan, 2005 (Grant No. 17300228)
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Fei, W., Bai, L. Time-varying parameter auto-regressive models for autocovariance nonstationary time series. Sci. China Ser. A-Math. 52, 577–584 (2009). https://doi.org/10.1007/s11425-008-0163-3
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DOI: https://doi.org/10.1007/s11425-008-0163-3
Keywords
- autocovariance nonstationary time series
- time-varying parameter
- time-varying order
- auto-regressive model
- minimum AIC estimation