Broadband Semiparametric Estimation of the Memory Parameter of a Long-Memory Time Series Using Fractional Exponential Models
โ Scribed by Clifford M. Hurvich; Julia Brodsky
- Book ID
- 108549455
- Publisher
- John Wiley and Sons
- Year
- 2001
- Tongue
- English
- Weight
- 295 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0143-9782
No coin nor oath required. For personal study only.
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A vector time series model with long-memory dependence is introduced. It is assumed that, at each time point, the observations are equi-correlated. The model is based on a fractionally differenced autoregressive process (long-memory) adjoined to a Gaussian sequence with constant autocorrelation. The
We develop an ordinary least squares estimator of the long-memory parameter from a fractionally integrated process that is an alternative to the Geweke and Porter-Hudak (1983) estimator. Using the wavelet transform from a fractionally integrated process, we establish a log-linear relationship betwee